[ { "tikz_code": "\\documentclass[12 pt]{article}\n\\usepackage{pgfpict2e}\n\\usepackage{amssymb}\n\\usepackage{amsmath}\n\\usepackage{tikz}\n\\usetikzlibrary{calc}\n\n\\begin{document}\n\n\\begin{tikzpicture}[scale = 1.3]\n\\draw[dashed] (1,3.5) circle [radius=0.8];\n\\node at (2,3.5) {=};\n\\draw[dashed] (3,3.5) circle [radius=0.8];\n\\node at (4,3.5) {$-$};\n\\draw[dashed] (5,3.5) circle [radius=0.8];\n\\node at (6,3.5) {$+$};\n\\draw[dashed] (7,3.5) circle [radius=0.8];\n\\node at (8,3.5) {$+$};\n\\draw[dashed] (9,3.5) circle [radius=0.8];\n\\node at (10,3.5) {$-$};\n\\draw[dashed] (11,3.5) circle [radius=0.8];\n\\node at (12,3.25) {;};\n\n\\foreach \\n in {0,2,...,10}{\n\\node(center) at (1 + \\n,3.5) {};\n\\path ($(center) + (20:0.8)$) edge[bend right =20, ultra thick] ($(center) + (40:0.8)$);\n\\path ($(center) + (95:0.8)$) edge[bend right =20, ultra thick] ($(center) + (125:0.8)$);\n\\path ($(center) + (-20:0.8)$) edge[bend right =-20, ultra thick] ($(center) + 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+ (120:0.8)$) edge[bend right = 20] ($(9,3.5) + (-30:0.8)$);\n\\path ($(9,3.5) + (-100:0.8)$) edge[bend left = 20] ($(9,3.5) + (-330:0.8)$);\n%\n\\path ($(11,3.5) + (330:0.8)$) edge[bend left = 20] ($(11,3.5) + (100:0.8)$);\n\\path ($(11,3.5) + (120:0.8)$) edge[bend left = 20] ($(11,3.5) + (240:0.8)$);\n\\path ($(11,3.5) + (260:0.8)$) edge[bend left = 20] ($(11,3.5) + (30:0.8)$);\n%-----\n\\foreach \\n in {0,2,...,10}{\n\\path ($(1+ \\n,3.5) + (75:0.8)$) edge[color = blue] ($(1 + \\n,3.5) + (-75:0.8)$);\n\\path ($(1 + \\n,3.5) + (70:0.8)$) edge[color = blue] ($(1 + \\n,3.5) + (-70:0.8)$);\n\\path ($(1 + \\n,3.5) + (65:0.8)$) edge[color = blue] ($(1 + \\n,3.5) + (-65:0.8)$);\n\\path ($(1 + \\n,3.5) + (60:0.8)$) edge[color = blue] ($(1 + \\n,3.5) + (-60:0.8)$);\n\\path ($(1 + \\n,3.5) + (55:0.8)$) edge[color = blue] ($(1 + \\n,3.5) + (-55:0.8)$);\n\\node[color = blue, rotate = -17] at (1.4 + \\n,4.45) {\\footnotesize{$\\overbrace{\\phantom{}}^{n-1}$}};\n\\path ($(1 + \\n,3.5) + 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($(1 + \\n,3.5) + (-75:0.8)$);\n}\n\\end{tikzpicture}\n\n\\end{document}", "\\documentclass[12 pt]{article}\n\\usepackage{pgfpict2e}\n\\usepackage{amssymb}\n\\usepackage{amsmath}\n\\usepackage{tikz}\n\\usetikzlibrary{calc}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}[scale = 1.3]\n\\draw[dotted] (1,3.5) circle [radius=0.8];\n\\node at (2,3.5) {=};\n\\draw[dotted] (3,3.5) circle [radius=0.8];\n\\node at (4,3.5) {$-$};\n\\draw[dotted] (5,3.5) circle [radius=0.8];\n\\node at (6,3.5) {$+$};\n\\draw[dotted] (7,3.5) circle [radius=0.8];\n\\node at (8,3.5) {$+$};\n\\draw[dotted] (9,3.5) circle [radius=0.8];\n\\node at (10,3.5) {$-$};\n\\draw[dotted] (11,3.5) circle [radius=0.8];\n\\node at (12,3.25) {.};\n\n\\foreach \\n in {0,2,...,10}{\n\\node(center) at (1 + \\n,3.5) {};\n\\path ($(center) + (20:0.8)$) edge[bend right =20, ultra thick] ($(center) + (40:0.8)$);\n\\path ($(center) + (95:0.8)$) edge[bend right =20, ultra thick] ($(center) + (125:0.8)$);\n\\path ($(center) + (-20:0.8)$) edge[bend right =-20, ultra thick] ($(center) + (-40:0.8)$);\n\\path ($(center) + (-95:0.8)$) edge[bend right =-20, ultra thin] ($(center) + (-125:0.8)$);\n}\n\n\\path ($(1,3.5) + (120:0.8)$) edge[bend right =20] ($(1,3.5) + (30:0.8)$);\n\\path ($(1,3.5) + (-120:0.8)$) edge[bend left =20] ($(1,3.5) + (330:0.8)$);\n\\path ($(1,3.5) + (100:0.8)$) edge[bend left = 20] ($(1,3.5) + (260:0.8)$);\n%\n\\path ($(3,3.5) + (110:0.8)$) edge[bend left =20] ($(3,3.5) + (-110:0.8)$);\n\\path ($(3,3.5) + (30:0.8)$) edge[bend right =20] ($(3,3.5) + (330:0.8)$);\n%\n\\path ($(5,3.5) + (110:0.8)$) edge[bend right =20] ($(5,3.5) + (330:0.8)$);\n\\path ($(5.08,3.59) + (30:0.8)$) edge[bend right =20] ($(5.04,3.7) + (-110:0.8)$);\n%\n\\path ($(7,3.5) + (120:0.8)$) edge[bend left = 20] ($(7,3.5) + (260:0.8)$);\n\\path ($(7,3.5) + (-120:0.8)$) edge[bend left = 20] ($(7,3.5) + (330:0.8)$);\n%\n\\path ($(9,3.5) + (-120:0.8)$) edge[bend right = 20] ($(9,3.5) + (-260:0.8)$);\n\\path ($(9,3.5) + (120:0.8)$) edge[bend right = 20] ($(9,3.5) + (-330:0.8)$);\n\\path ($(9,3.5) + (-100:0.8)$) edge[bend left = 20] ($(9,3.5) + (-30:0.8)$);\n%\n\\path ($(11,3.5) + (30:0.8)$) edge[bend left = 20] ($(11,3.5) + (100:0.8)$);\n\\path ($(11,3.5) + (260:0.8)$) edge[bend left = 20] ($(11,3.5) + (330:0.8)$);\n%-----\n\\foreach \\n in {0,2,...,10}{\n\\path ($(1+ \\n,3.5) + (171:0.8)$) edge[color = green] ($(1 + \\n,3.5) + (11:0.8)$);\n\\path ($(1 + \\n,3.5) + (176:0.8)$) edge[color = purple] ($(1 + \\n,3.5) + (6:0.8)$);\n\\path ($(1 + \\n,3.5) + (181:0.8)$) edge[color = brown] ($(1 + \\n,3.5) + (1:0.8)$);\n\\path ($(1 + \\n,3.5) + (191:0.8)$) edge[color = brown] ($(1 + \\n,3.5) + (-9:0.8)$);\n\\node[color = black] at (0.14+\\n,3.475) {$\\mathbf{\\lbrace }$};\n\\node[color = orange] at (0.04+\\n,3.33) {\\footnotesize{$n$}};\n\\path ($(1 + \\n,3.5) + (75:0.8)$) edge[color = orange] ($(1 + \\n,3.5) + (-75:0.8)$);\n}\n\\end{tikzpicture}\n\n\\end{document}", "\\documentclass[12 pt]{article}\n\\usepackage{pgfpict2e}\n\\usepackage{amssymb}\n\\usepackage{amsmath}\n\\usepackage{tikz}\n\\usetikzlibrary{calc}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}[scale = 1.3]\n\\draw[dotted] (1,3.5) circle [radius=0.8];\n\\node at (2,3.5) {=};\n\\node at (4,3.5) {$-$};\n\\draw[dotted] (5,3.5) circle [radius=0.8];\n\\node at (6,3.5) {$+$};\n\\draw[dotted] (7,3.5) circle [radius=0.8];\n\\node at (8,3.5) {$+$};\n\\draw[dotted] (9,3.5) circle [radius=0.8];\n\\node at (10,3.5) {$-$};\n\\node at (12,3.25) {.};\n\n\\foreach \\n in {0,2,...,10}{\n\\node(center) at (1 + \\n,3.5) {};\n\\path ($(center) + (20:0.8)$) edge[bend right =20, ultra thin] ($(center) + (40:0.8)$);\n\\path ($(center) + (95:0.8)$) edge[bend right =20, ultra thin] ($(center) + (125:0.8)$);\n\\path ($(center) + (-95:0.8)$) edge[bend right =-20, ultra thick] ($(center) + (-125:0.8)$);\n}\n\n\\path ($(1,3.5) + (-120:0.8)$) edge[bend left =20] ($(1,3.5) + (330:0.8)$);\n\\path ($(1,3.5) + (100:0.8)$) edge[bend left = 20] ($(1,3.5) + (260:0.8)$);\n%\n\\path ($(3,3.5) + (110:0.8)$) edge[bend left =20] ($(3,3.5) + (-110:0.8)$);\n%\n\\path ($(5,3.5) + (110:0.8)$) edge[bend right =20] ($(5,3.5) + (330:0.8)$);\n\\path ($(5,3.5) + (30:0.8)$) edge[bend right =20] ($(5,3.5) + (-110:0.8)$);\n%\n\\path ($(7,3.5) + (-120:0.8)$) edge[bend left = 20] ($(7,3.5) + (330:0.8)$);\n\\path ($(7.13,3.58) + (100:0.8)$) edge[bend right = 20] ($(7.14,3.59) + (30:0.8)$);\n%\n\\path ($(9,3.5) + (-120:0.8)$) edge[bend right = 20] ($(9,3.5) + (-260:0.8)$);\n\\path ($(9,3.5) + (-100:0.8)$) edge[bend left = 20] ($(9,3.5) + (-30:0.8)$);\n%\n\\path ($(11,3.5) + (30:0.8)$) edge[bend left = 20] ($(11,3.5) + (100:0.8)$);\n\\path ($(11,3.5) + (120:0.8)$) edge[bend left = 20] ($(11,3.5) + (240:0.8)$);\n\\path ($(11,3.5) + (260:0.8)$) edge[bend left = 20] ($(11,3.5) + (330:0.8)$);\n%-----\n\\foreach \\n in {0,2,...,10}{\n\\path ($(1+ \\n,3.5) + (171:0.8)$) edge[color = green] ($(1 + \\n,3.5) + (11:0.8)$);\n\\path ($(1 + \\n,3.5) + (176:0.8)$) edge[color = cyan] ($(1 + \\n,3.5) + (6:0.8)$);\n\\path ($(1 + \\n,3.5) + (181:0.8)$) edge[color = purple] ($(1 + \\n,3.5) + (1:0.8)$);\n\\path ($(1 + \\n,3.5) + (186:0.8)$) edge[color = brown] ($(1 + \\n,3.5) + (-4:0.8)$);\n\\path ($(1 + \\n,3.5) + (191:0.8)$) edge[color = blue] ($(1 + \\n,3.5) + (-9:0.8)$);\n\\node[color = purple] at (0.14+\\n,3.475) {$\\mathbf{\\lbrace }$};\n\\node[color = black] at (0.04+\\n,3.33) {\\footnotesize{$n$}};\n\\path ($(1 + \\n,3.5) + (75:0.8)$) edge[color = blue] ($(1 + \\n,3.5) + (-75:0.8)$);\n}\n\\end{tikzpicture}\n\n\\end{document}" ], "sample_images": [ "sample_2_0", "sample_2_1", "sample_2_2" ] }, { "tikz_code": "\\documentclass[preprint]{elsarticle}\n\\usepackage{amsmath}\n\\usepackage{amssymb}\n\\usepackage{color}\n\\usepackage{tkz-euclide}\n\n\\begin{document}\n\n\\begin{tikzpicture}[scale=0.6]\n% main body\n\\draw[thick] (-6,0)--(0,0);\n\\draw[thick] (-6,1)--(0,1);\n\\draw[thick] (-6,0)--(-6,1);\n\\draw[thick] (0,0)--(0,1);\n\\draw[thick] (0,0)--(5,3);\n\\draw[thick] (0,1)--(5,4);\n\\draw[thick] (5,3)--(5,4);\n\\draw[thick] (-6,1)--(-1,4);\n\\draw[thick] (5,4)--(-1,4);\n\\draw[thick] (5,4)--(-1,4);\n\n% exterior cuts\n\\draw[thick,blue] (-4,1.5)--(-2.25,1.5);\n\\draw[thick,blue,->] (-0.5,1.5)--(-2.25,1.5);\n\\draw[thick,blue] (-4,1.5)--(-4+0.8*5/3,1.5+0.8*1); %diag\n\\draw[thick,blue] (-0.5,1.5)--(-0.5+0.8*5/3,1.5+0.8*1); %diag\n\\draw[thick,blue] (-4+0.8*5/3,1.5+0.8*1)--(-0.5+0.8*5/3,1.5+0.8*1);\n\\node[blue] at (-3.65,2.4) [anchor=north]{\\small{$\\gamma_1$}};\n\n\\draw[thick] (-4+0.8*5/3,1.5+0.8*1)--(-4+0.8*5/3,1.5);\n\n\\fill[orange,fill opacity=0.1] (-4,1.5)--(-0.5,1.5)--(-0.5+0.8*5/3,1.5+0.8*1)--(-4+0.8*5/3,1.5+0.8*1);\n\\node at (-1.5,2.3) [anchor=north]{\\small{$\\Sigma'_1$}};\n\n\\draw[thick,blue] (-4+1.3*5/3,1.5+1.3*1)--(-2.25+1.3*5/3,1.5+1.3*1);\n\\draw[thick,blue] (-4+2.1*5/3,1.5+2.1*1)--(-0.5+2.1*5/3,1.5+2.1*1);\n\\draw[thick,blue] (-4+1.3*5/3,1.5+1.3*1)--(-4+2.1*5/3,1.5+2.1*1); %diag\n\\draw[thick,blue] (-0.5+1.3*5/3,1.5+1.3*1)--(-0.5+2.1*5/3,1.5+2.1*1); %diag\n\\draw[thick,blue,->] (-0.5+1.3*5/3,1.5+1.3*1)--(-2.25+1.3*5/3,1.5+1.3*1);\n\\node[blue] at (-1.61,3.65) [anchor=north]{\\small{$\\gamma_2$}};\n\n\\draw[thick] (-4+2.1*5/3,1.5+2.1*1)--(-4+2.1*5/3,1.5+1.3*1);\n\n\\fill[orange,fill opacity=0.1] (-4+1.3*5/3,1.5+1.3*1)--(-0.5+1.3*5/3,1.5+1.3*1)--(-0.5+2.1*5/3,1.5+2.1*1)--(-4+2.1*5/3,1.5+2.1*1);\n\\node at (0.6,3.7) [anchor=north]{\\small{$\\Sigma'_2$}};\n\n% interior cuts\n\n\\draw[thick,red] (-0.5+0.4*5/3,1.5+0.4*1)--(0.15+0.4*5/3,1.5+0.4*1);\n\\draw[thick,red,->] (0.8+0.4*5/3,1.5+0.4*1)--(0.15+0.4*5/3,1.5+0.4*1);\n\\draw[thick,red] (0.8+0.4*5/3,1.5+0.4*1-1)--(0.8+0.4*5/3,1.5+0.4*1);\n\\draw[thick,red,dashed] (-0.5+0.4*5/3,1.5+0.4*1)-- (-0.5+0.4*5/3,1.5+0.4*1-1);\n\\draw[thick,red,dashed] (-0.5+0.4*5/3,1.5+0.4*1-1)--(0.8+0.4*5/3,1.5+0.4*1-1);\n\n\\fill[cyan,fill opacity=0.1] (-0.5+0.4*5/3,1.5+0.4*1)--(0.8+0.4*5/3,1.5+0.4*1)--(0.8+0.4*5/3,1.5+0.4*1-1)--(-0.5+0.4*5/3,1.5+0.4*1-1);\n\\node at (1,1.65) [anchor=north]{\\small{$\\Sigma_1$}};\n\\node[red] at (1.8,1.95) [anchor=north]{\\small{$\\gamma'_1$}};\n\n\\draw[thick,red] (-0.5+1.65*5/3,1.5+1.65*1)--(0.155+1.65*5/3,1.5+1.65*1);\n\\draw[thick,red,->] (0.81+1.65*5/3,1.5+1.65*1)--(0.155+1.65*5/3,1.5+1.65*1);\n\\draw[thick,red,] (0.81+1.65*5/3,1.5+1.65*1-1)--(0.81+1.65*5/3,1.5+1.65*1);\n\\draw[thick,red,dashed] (-0.5+1.65*5/3,1.5+1.65*1)--(-0.5+1.65*5/3,1.5+1.65*1-1);\n\\draw[thick,red,dashed] (-0.5+1.65*5/3,1.5+1.65*1-1)-- (0.81+1.65*5/3,1.5+1.65*1-1);\n\n\\fill[cyan,fill opacity=0.1] (-0.5+1.65*5/3,1.5+1.65*1-1)-- (0.81+1.65*5/3,1.5+1.65*1-1)--(0.81+1.65*5/3,1.5+1.65*1)--(-0.5+1.65*5/3,1.5+1.65*1);\n\\node at (3.1,2.85) [anchor=north]{\\small{$\\Sigma_2$}};\n\\node[red] at (3.85,3.15) [anchor=north]{\\small{$\\gamma'_2$}};\n\n\n\\end{tikzpicture}\n\n\\end{document}", "original_image": "original_3", "generated_samples": [ "\\documentclass[preprint]{elsarticle}\n\\usepackage{amsmath}\n\\usepackage{amssymb}\n\\usepackage{color}\n\\usepackage{tkz-euclide}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}[scale=0.6]\n% main body\n\\draw[thin] (-6,0)--(0,0);\n\\draw[thick] (-6,1)--(0,1);\n\\draw[thin] (-6,0)--(-6,1);\n\\draw[thin] (5,3)--(5,4);\n\\draw[thin] (5,4)--(-1,4);\n\\draw[thick] (5,4)--(-1,4);\n\n% exterior cuts\n\\draw[thick,orange] (-4,1.5)--(-2.25,1.5);\n\\draw[thick,purple,->] (-0.5,1.5)--(-2.25,1.5);\n\\draw[thick,blue] (-4,1.5)--(-4+0.8*5/3,1.5+0.8*1); %diag\n\\draw[thick,black] (-0.5,1.5)--(-0.5+0.8*5/3,1.5+0.8*1); %diag\n\\node[cyan] at (-3.65,2.4) [anchor=north]{\\small{$\\cos$}};\n\n\\draw[thick] (-4+0.8*5/3,1.5+0.8*1)--(-4+0.8*5/3,1.5);\n\n\\fill[brown!87,fill opacity=0.1] (-4,1.5)--(-0.5,1.5)--(-0.5+0.8*5/3,1.5+0.8*1)--(-4+0.8*5/3,1.5+0.8*1);\n\\node at (-1.5,2.3) [anchor=north]{\\small{$\\Sigma'_1$}};\n\n\\draw[thin,red] (-4+1.3*5/3,1.5+1.3*1)--(-2.25+1.3*5/3,1.5+1.3*1);\n\\draw[thin,red] (-4+2.1*5/3,1.5+2.1*1)--(-0.5+2.1*5/3,1.5+2.1*1);\n\\draw[thick,brown,->] (-0.5+1.3*5/3,1.5+1.3*1)--(-2.25+1.3*5/3,1.5+1.3*1);\n\\node[green] at (-1.61,3.65) [anchor=north]{\\small{$\\cos$}};\n\n\\draw[thin] (-4+2.1*5/3,1.5+2.1*1)--(-4+2.1*5/3,1.5+1.3*1);\n\n\\fill[green!98,fill opacity=0.1] (-4+1.3*5/3,1.5+1.3*1)--(-0.5+1.3*5/3,1.5+1.3*1)--(-0.5+2.1*5/3,1.5+2.1*1)--(-4+2.1*5/3,1.5+2.1*1);\n\\node at (0.6,3.7) [anchor=north]{\\small{$\\Sigma'_2$}};\n\n% interior cuts\n\n\\draw[thick,orange] (-0.5+0.4*5/3,1.5+0.4*1)--(0.15+0.4*5/3,1.5+0.4*1);\n\\draw[thick,blue,->] (0.8+0.4*5/3,1.5+0.4*1)--(0.15+0.4*5/3,1.5+0.4*1);\n\\draw[thin,red] (0.8+0.4*5/3,1.5+0.4*1-1)--(0.8+0.4*5/3,1.5+0.4*1);\n\\draw[thick,red,dotted] (-0.5+0.4*5/3,1.5+0.4*1)-- (-0.5+0.4*5/3,1.5+0.4*1-1);\n\\draw[thin,orange,dotted] (-0.5+0.4*5/3,1.5+0.4*1-1)--(0.8+0.4*5/3,1.5+0.4*1-1);\n\n\\fill[green!12,fill opacity=0.1] (-0.5+0.4*5/3,1.5+0.4*1)--(0.8+0.4*5/3,1.5+0.4*1)--(0.8+0.4*5/3,1.5+0.4*1-1)--(-0.5+0.4*5/3,1.5+0.4*1-1);\n\\node at (1,1.65) [anchor=north]{\\small{$\\Sigma_1$}};\n\\node[black] at (1.8,1.95) [anchor=north]{\\small{$\\cos$}};\n\n\\draw[thin,green] (-0.5+1.65*5/3,1.5+1.65*1)--(0.155+1.65*5/3,1.5+1.65*1);\n\\draw[thick,black,->] (0.81+1.65*5/3,1.5+1.65*1)--(0.155+1.65*5/3,1.5+1.65*1);\n\\draw[thin,red,] (0.81+1.65*5/3,1.5+1.65*1-1)--(0.81+1.65*5/3,1.5+1.65*1);\n\\draw[thin,red,dotted] (-0.5+1.65*5/3,1.5+1.65*1)--(-0.5+1.65*5/3,1.5+1.65*1-1);\n\n\\fill[brown!77,fill opacity=0.1] (-0.5+1.65*5/3,1.5+1.65*1-1)-- (0.81+1.65*5/3,1.5+1.65*1-1)--(0.81+1.65*5/3,1.5+1.65*1)--(-0.5+1.65*5/3,1.5+1.65*1);\n\\node at (3.1,2.85) [anchor=north]{\\small{$\\Sigma_2$}};\n\\node[black] at (3.85,3.15) [anchor=north]{\\small{$\\cos$}};\n\n\n\\end{tikzpicture}\n\n\\end{document}", "\\documentclass[preprint]{elsarticle}\n\\usepackage{amsmath}\n\\usepackage{amssymb}\n\\usepackage{color}\n\\usepackage{tkz-euclide}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}[scale=0.6]\n% main body\n\\draw[thick] (-6,0)--(0,0);\n\\draw[thin] (-6,1)--(0,1);\n\\draw[thin] (-6,0)--(-6,1);\n\\draw[thick] (0,0)--(0,1);\n\\draw[thin] (0,0)--(5,3);\n\\draw[thick] (0,1)--(5,4);\n\\draw[thin] (5,3)--(5,4);\n\\draw[thin] (5,4)--(-1,4);\n\\draw[thin] (5,4)--(-1,4);\n\n% exterior cuts\n\\draw[thin,black] (-4,1.5)--(-2.25,1.5);\n\\draw[thin,cyan] (-4,1.5)--(-4+0.8*5/3,1.5+0.8*1); %diag\n\\draw[thin,blue] (-0.5,1.5)--(-0.5+0.8*5/3,1.5+0.8*1); %diag\n\\draw[thin,yellow] (-4+0.8*5/3,1.5+0.8*1)--(-0.5+0.8*5/3,1.5+0.8*1);\n\\node[yellow] at (-3.65,2.4) [anchor=north]{\\small{$\\cos$}};\n\n\\draw[thick] (-4+0.8*5/3,1.5+0.8*1)--(-4+0.8*5/3,1.5);\n\n\\fill[black!26,fill opacity=0.1] (-4,1.5)--(-0.5,1.5)--(-0.5+0.8*5/3,1.5+0.8*1)--(-4+0.8*5/3,1.5+0.8*1);\n\\node at (-1.5,2.3) [anchor=north]{\\small{$\\Sigma'_1$}};\n\n\\draw[thin,blue] (-4+1.3*5/3,1.5+1.3*1)--(-2.25+1.3*5/3,1.5+1.3*1);\n\\draw[thick,yellow] (-4+2.1*5/3,1.5+2.1*1)--(-0.5+2.1*5/3,1.5+2.1*1);\n\\draw[thick,green] (-4+1.3*5/3,1.5+1.3*1)--(-4+2.1*5/3,1.5+2.1*1); %diag\n\\draw[thick,yellow,->] (-0.5+1.3*5/3,1.5+1.3*1)--(-2.25+1.3*5/3,1.5+1.3*1);\n\\node[red] at (-1.61,3.65) [anchor=north]{\\small{$\\cos$}};\n\n\\draw[thin] (-4+2.1*5/3,1.5+2.1*1)--(-4+2.1*5/3,1.5+1.3*1);\n\n\\fill[cyan!17,fill opacity=0.1] (-4+1.3*5/3,1.5+1.3*1)--(-0.5+1.3*5/3,1.5+1.3*1)--(-0.5+2.1*5/3,1.5+2.1*1)--(-4+2.1*5/3,1.5+2.1*1);\n\\node at (0.6,3.7) [anchor=north]{\\small{$\\Sigma'_2$}};\n\n% interior cuts\n\n\\draw[thin,blue] (-0.5+0.4*5/3,1.5+0.4*1)--(0.15+0.4*5/3,1.5+0.4*1);\n\\draw[thick,purple,->] (0.8+0.4*5/3,1.5+0.4*1)--(0.15+0.4*5/3,1.5+0.4*1);\n\\draw[thin,purple] (0.8+0.4*5/3,1.5+0.4*1-1)--(0.8+0.4*5/3,1.5+0.4*1);\n\\draw[thin,orange,dotted] (-0.5+0.4*5/3,1.5+0.4*1-1)--(0.8+0.4*5/3,1.5+0.4*1-1);\n\n\\fill[orange!59,fill opacity=0.1] (-0.5+0.4*5/3,1.5+0.4*1)--(0.8+0.4*5/3,1.5+0.4*1)--(0.8+0.4*5/3,1.5+0.4*1-1)--(-0.5+0.4*5/3,1.5+0.4*1-1);\n\\node at (1,1.65) [anchor=north]{\\small{$\\Sigma_1$}};\n\\node[yellow] at (1.8,1.95) [anchor=north]{\\small{$\\cos$}};\n\n\\draw[thin,blue] (-0.5+1.65*5/3,1.5+1.65*1)--(0.155+1.65*5/3,1.5+1.65*1);\n\\draw[thin,brown,->] (0.81+1.65*5/3,1.5+1.65*1)--(0.155+1.65*5/3,1.5+1.65*1);\n\\draw[thin,black,dotted] (-0.5+1.65*5/3,1.5+1.65*1)--(-0.5+1.65*5/3,1.5+1.65*1-1);\n\\draw[thin,red,dotted] (-0.5+1.65*5/3,1.5+1.65*1-1)-- (0.81+1.65*5/3,1.5+1.65*1-1);\n\n\\fill[yellow!52,fill opacity=0.1] (-0.5+1.65*5/3,1.5+1.65*1-1)-- (0.81+1.65*5/3,1.5+1.65*1-1)--(0.81+1.65*5/3,1.5+1.65*1)--(-0.5+1.65*5/3,1.5+1.65*1);\n\\node at (3.1,2.85) [anchor=north]{\\small{$\\Sigma_2$}};\n\\node[purple] at (3.85,3.15) [anchor=north]{\\small{$\\cos$}};\n\n\n\\end{tikzpicture}\n\n\\end{document}", "\\documentclass[preprint]{elsarticle}\n\\usepackage{amsmath}\n\\usepackage{amssymb}\n\\usepackage{color}\n\\usepackage{tkz-euclide}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}[scale=0.6]\n% main body\n\\draw[thick] (-6,0)--(0,0);\n\\draw[thin] (-6,0)--(-6,1);\n\\draw[thick] (0.17,0.21)--(0.22,1.06);\n\\draw[thin] (0,0)--(5,3);\n\\draw[thin] (5,3)--(5,4);\n\\draw[thick] (-6,1)--(-1,4);\n\\draw[thick] (5,4)--(-1,4);\n\\draw[thin] (5,4)--(-1,4);\n\n% exterior cuts\n\\draw[thin,black] (-4,1.5)--(-2.25,1.5);\n\\draw[thick,purple,->] (-0.5,1.5)--(-2.25,1.5);\n\\draw[thin,orange] (-3.84,1.61)--(-4+0.8*5/3,1.5+0.8*1); %diag\n\\draw[thin,brown] (-0.5,1.5)--(-0.5+0.8*5/3,1.5+0.8*1); %diag\n\\draw[thin,red] (-4+0.8*5/3,1.5+0.8*1)--(-0.5+0.8*5/3,1.5+0.8*1);\n\\node[yellow] at (-3.65,2.4) [anchor=north]{\\small{$\\cos$}};\n\n\\draw[thick] (-4+0.8*5/3,1.5+0.8*1)--(-4+0.8*5/3,1.5);\n\n\\fill[cyan!50,fill opacity=0.1] (-4,1.5)--(-0.5,1.5)--(-0.5+0.8*5/3,1.5+0.8*1)--(-4+0.8*5/3,1.5+0.8*1);\n\\node at (-1.5,2.3) [anchor=north]{\\small{$\\Sigma'_1$}};\n\n\\draw[thin,orange] (-4+1.3*5/3,1.5+1.3*1)--(-2.25+1.3*5/3,1.5+1.3*1);\n\\draw[thin,black] (-4+2.1*5/3,1.5+2.1*1)--(-0.5+2.1*5/3,1.5+2.1*1);\n\\draw[thick,blue] (-4+1.3*5/3,1.5+1.3*1)--(-4+2.1*5/3,1.5+2.1*1); %diag\n\\draw[thick,green] (-0.5+1.3*5/3,1.5+1.3*1)--(-0.5+2.1*5/3,1.5+2.1*1); %diag\n\\draw[thick,orange,->] (-0.5+1.3*5/3,1.5+1.3*1)--(-2.25+1.3*5/3,1.5+1.3*1);\n\\node[blue] at (-1.61,3.65) [anchor=north]{\\small{$\\cos$}};\n\n\\draw[thin] (-4+2.1*5/3,1.5+2.1*1)--(-4+2.1*5/3,1.5+1.3*1);\n\n\\fill[blue!17,fill opacity=0.1] (-4+1.3*5/3,1.5+1.3*1)--(-0.5+1.3*5/3,1.5+1.3*1)--(-0.5+2.1*5/3,1.5+2.1*1)--(-4+2.1*5/3,1.5+2.1*1);\n\\node at (0.6,3.7) [anchor=north]{\\small{$\\Sigma'_2$}};\n\n% interior cuts\n\n\\draw[thin,purple] (-0.5+0.4*5/3,1.5+0.4*1)--(0.15+0.4*5/3,1.5+0.4*1);\n\\draw[thin,yellow,->] (0.8+0.4*5/3,1.5+0.4*1)--(0.15+0.4*5/3,1.5+0.4*1);\n\\draw[thin,cyan] (0.8+0.4*5/3,1.5+0.4*1-1)--(0.8+0.4*5/3,1.5+0.4*1);\n\\draw[thick,yellow,dotted] (-0.5+0.4*5/3,1.5+0.4*1)-- (-0.5+0.4*5/3,1.5+0.4*1-1);\n\\draw[thick,orange,dotted] (-0.5+0.4*5/3,1.5+0.4*1-1)--(0.8+0.4*5/3,1.5+0.4*1-1);\n\n\\fill[purple!16,fill opacity=0.1] (-0.5+0.4*5/3,1.5+0.4*1)--(0.8+0.4*5/3,1.5+0.4*1)--(0.8+0.4*5/3,1.5+0.4*1-1)--(-0.5+0.4*5/3,1.5+0.4*1-1);\n\\node at (1,1.65) [anchor=north]{\\small{$\\Sigma_1$}};\n\\node[brown] at (1.8,1.95) [anchor=north]{\\small{$\\cos$}};\n\n\\draw[thick,yellow] (-0.5+1.65*5/3,1.5+1.65*1)--(0.155+1.65*5/3,1.5+1.65*1);\n\\draw[thick,blue,->] (0.81+1.65*5/3,1.5+1.65*1)--(0.155+1.65*5/3,1.5+1.65*1);\n\\draw[thick,red,] (0.81+1.65*5/3,1.5+1.65*1-1)--(0.81+1.65*5/3,1.5+1.65*1);\n\\draw[thick,black,dotted] (-0.5+1.65*5/3,1.5+1.65*1)--(-0.5+1.65*5/3,1.5+1.65*1-1);\n\\draw[thin,cyan,dotted] (-0.5+1.65*5/3,1.5+1.65*1-1)-- (0.81+1.65*5/3,1.5+1.65*1-1);\n\n\\fill[cyan!54,fill opacity=0.1] (-0.5+1.65*5/3,1.5+1.65*1-1)-- (0.81+1.65*5/3,1.5+1.65*1-1)--(0.81+1.65*5/3,1.5+1.65*1)--(-0.5+1.65*5/3,1.5+1.65*1);\n\\node at (3.1,2.85) [anchor=north]{\\small{$\\Sigma_2$}};\n\\node[brown] at (3.85,3.15) [anchor=north]{\\small{$\\cos$}};\n\n\n\\end{tikzpicture}\n\n\\end{document}" ], "sample_images": [ "sample_3_0", "sample_3_1", "sample_3_2" ] }, { "tikz_code": "\\documentclass[preprint]{elsarticle}\n\\usepackage{amsmath}\n\\usepackage{amssymb}\n\\usepackage{color}\n\\usepackage{tkz-euclide}\n\n\\begin{document}\n\n\\begin{tikzpicture}[scale=0.6]\n\n% part a\n\n\\draw [fill=blue, opacity=0.1] (0,0) ellipse (1.5cm and 1cm);\n\\draw [thick] (3,0) ellipse (1.5cm and 1.5cm);\n\\draw [thick] (-3,0) ellipse (1.5cm and 1.5cm);\n\\draw [thick] (3,0) ellipse (0.5cm and 0.5cm);\n\\draw [fill=blue, opacity=0.1] (-3,0) ellipse (0.5cm and 0.5cm);\n\n\n\\draw[black, thick] (-3.5,0) arc(-180:-220:3.5cm and 2.3cm);\n\\draw[black, thick] (3.5,0) arc(-360:-320:3.5cm and 2.3cm);\n\\draw[black, thick,dashed] (-3.5,0) arc(-180:-360:3.5cm and 2.3cm);\n\n\\draw[black, thick,dashed] (-2.5,0) arc(-180:-360:2.5cm and 1.6cm);\n\\draw[black, thick] (-2.5,0) arc(-180:-220:2.5cm and 1.6cm);\n\\draw[black, thick] (2.5,0) arc(-360:-320:2.5cm and 1.6cm);\n\n\\draw[black, thick] (-4.5,0) arc(-180:-360:4.5cm and 3cm);\n\\draw[red, thick] (-1.5,0) arc(-180:-360:1.5cm and 1.cm);\n\n\\draw[black, thick,densely dotted] (-2.5,0) arc(-180:0:2.5cm and 1.6cm);\n\n \\draw[\n red,thick,decoration={markings, mark=at position 0.625 with {\\arrow{>}}},\n postaction={decorate}\n ]\n (-3,0) ellipse (0.5cm and 0.5cm);\n\n \\draw[\n red,thick,densely dotted,decoration={markings, mark=at position 0.625 with {\\arrow{>}}},\n postaction={decorate}\n ]\n (0,0) ellipse (1.5cm and 1cm);\n\n\\node at (-3,0) {\\small{$\\Sigma'_2$}};\n\\node at (0,0) {\\small{$\\Sigma'_1$}};\n\\node[red] at (0,-1.3) {\\small{$\\gamma_1$}};\n\\node[red] at (-3,-0.8) {\\small{$\\gamma_2$}};\n\n% part b\n\n\n\n\\draw [fill=orange, opacity=0.1] (-3,-6) ellipse (1.5cm and 1.5cm);\n\n\\draw [fill=white] (-3,-6) ellipse (0.5cm and 0.5cm);\n\n\\draw[black, thick] (-3.5,-6) arc(-180:-220:3.5cm and 2.3cm);\n\\draw[black, thick] (3.5,-6) arc(-360:-320:3.5cm and 2.3cm);\n\\draw[black, thick,dashed] (-3.5,-6) arc(-180:-360:3.5cm and 2.3cm);\n\n\\draw[black, thick,dashed] (-2.5,-6) arc(-180:-360:2.5cm and 1.6cm);\n\\draw[black, thick] (-2.5,-6) arc(-180:-220:2.5cm and 1.6cm);\n\\draw[black, thick] (2.5,-6) arc(-360:-320:2.5cm and 1.6cm);\n\n\\draw[black, thick] (-4.5,-6) arc(-180:-360:4.5cm and 3cm);\n\n\n\\draw[draw=none,fill=orange,opacity=0.1] (-2.5,-6) arc(-180:180:2.5cm and 1.6cm);\n\\draw [fill=white,draw=none] (0,-6) ellipse (1.5cm and 1cm);\n\n\n \\draw[\n blue,thick,decoration={markings, mark=at position 0.625 with {\\arrow{<}}},\n postaction={decorate}\n ]\n (-3,-6) ellipse (0.5cm and 0.5cm);\n \n \\draw[\n blue,thick,densely dotted,decoration={markings, mark=at position 0.625 with {\\arrow{<}}},\n postaction={decorate}\n ]\n (0,-6) ellipse (1.5cm and 1cm);\n\n\\draw[\n blue,thick,densely dotted,decoration={markings, mark=at position 0.625 with {\\arrow{>}}},\n postaction={decorate}\n ]\n (0,-6) ellipse (2.5cm and 1.6cm);\n\n\\draw[white, very thick] (-2.5,-6) arc(-180:-360:2.5cm and 1.6cm);\n\\draw[blue, thick,dashed] (-2.5,-6) arc(-180:-360:2.5cm and 1.6cm);\n\\draw[blue, thick] (-2.5,-6) arc(-180:-221:2.5cm and 1.6cm);\n\\draw[blue, thick] (2.5,-6) arc(-360:-320:2.5cm and 1.6cm);\n\\draw[blue, thick] (-1.5,-6) arc(-180:-360:1.5cm and 1cm);\n\n\\draw[\n blue,thick,decoration={markings, mark=at position 0.625 with {\\arrow{>}}},\n postaction={decorate}\n ]\n (-3,-6) ellipse (1.5cm and 1.5cm);\n\\draw [thick] (3,-6) ellipse (1.5cm and 1.5cm);\n\\draw [thick] (3,-6) ellipse (0.5cm and 0.5cm);\n\n\\node at (0,-4.725) {\\small{$\\Sigma_2$}};\n\\node at (-3.9,-6) {\\small{$\\Sigma_1$}};\n\n\\node[blue] at (-2,-8) {\\small{$\\gamma'_1$}};\n\\draw[thick,->] (-2.2,-7.9) -- (-3,-7.5);\n\\draw[thick,->] (-2.2,-7.9) -- (-3,-6.5);\n\n\\node[blue] at (2,-8) {\\small{$\\gamma'_2$}};\n\\draw[thick,->] (1.8,-7.9) -- (0,-7.6);\n\\draw[thick,->] (1.8,-7.9) -- (0,-7);\n\n\\node at (-4,-2) {(a)};\n\\node at (-4,-8) {(b)};\n\n\n\\end{tikzpicture}\n\n\\end{document}", "original_image": "original_4", "generated_samples": [ "\\documentclass[preprint]{elsarticle}\n\\usepackage{amsmath}\n\\usepackage{amssymb}\n\\usepackage{color}\n\\usepackage{tkz-euclide}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}[scale=0.6]\n\n% part a\n\n\\draw [fill=cyan!19, opacity=0.1] (0.05,0.09) ellipse (1.5cm and 1cm);\n\\draw [thick] (3,0) ellipse (1.5cm and 1.5cm);\n\\draw [thin] (-3,0) ellipse (1.5cm and 1.5cm);\n\\draw [thin] (3,0) ellipse (0.5cm and 0.5cm);\n\\draw [fill=yellow!7, opacity=0.1] (-3,0) ellipse (0.5cm and 0.5cm);\n\n\n\\draw[yellow, thick] (-3.5,0) arc(-180:-220:3.5cm and 2.3cm);\n\\draw[brown, thick,dotted] (-3.5,0) arc(-180:-360:3.5cm and 2.3cm);\n\n\\draw[blue, thin,dotted] (-2.5,0) arc(-180:-360:2.5cm and 1.6cm);\n\\draw[orange, thick] (-2.4,0.02) arc(-180:-220:2.5cm and 1.6cm);\n\\draw[purple, thin] (2.5,0) arc(-360:-320:2.5cm and 1.6cm);\n\n\\draw[cyan, thin] (-4.5,0) arc(-180:-360:4.5cm and 3cm);\n\\draw[purple, thin] (-1.5,0) arc(-180:-360:1.5cm and 1.cm);\n\n\\draw[brown, thick,densely dashed] (-2.5,0) arc(-180:0:2.5cm and 1.6cm);\n\n \\draw[\n brown,thin,decoration={markings, mark=at position 0.625 with {\\arrow{>}}},\n postaction={decorate}\n ]\n (-3,0) ellipse (0.5cm and 0.5cm);\n\n \\draw[\n orange,thin,densely dashed,decoration={markings, mark=at position 0.625 with {\\arrow{>}}},\n postaction={decorate}\n ]\n (0,0) ellipse (1.5cm and 1cm);\n\n\\node at (-3,0) {\\small{$\\Sigma'_2$}};\n\\node at (0,0) {\\small{$\\Sigma'_1$}};\n\\node[green] at (0,-1.3) {\\small{$\\cos$}};\n\\node[cyan] at (-3,-0.8) {\\small{$\\sin$}};\n\n% part b\n\n\n\n\n\\draw [fill=brown!24] (-3,-6) ellipse (0.5cm and 0.5cm);\n\n\\draw[yellow, thick] (-3.5,-6) arc(-180:-220:3.5cm and 2.3cm);\n\\draw[yellow, thick] (3.5,-6) arc(-360:-320:3.5cm and 2.3cm);\n\\draw[cyan, thin,dotted] (-3.5,-6) arc(-180:-360:3.5cm and 2.3cm);\n\n\\draw[yellow, thick,dotted] (-2.5,-6) arc(-180:-360:2.5cm and 1.6cm);\n\\draw[black, thick] (-2.5,-6) arc(-180:-220:2.5cm and 1.6cm);\n\n\n\n\\draw[draw=purple!15,fill=orange!89,opacity=0.1] (-2.5,-6) arc(-180:180:2.5cm and 1.6cm);\n\\draw [fill=orange!58,draw=cyan!8] (0,-6) ellipse (1.5cm and 1cm);\n\n\n \\draw[\n cyan,thick,decoration={markings, mark=at position 0.625 with {\\arrow{<}}},\n postaction={decorate}\n ]\n (-3,-6) ellipse (0.5cm and 0.5cm);\n \n \\draw[\n blue,thick,densely dashed,decoration={markings, mark=at position 0.625 with {\\arrow{<}}},\n postaction={decorate}\n ]\n (0,-6) ellipse (1.5cm and 1cm);\n\n\\draw[\n orange,thick,densely dashed,decoration={markings, mark=at position 0.625 with {\\arrow{>}}},\n postaction={decorate}\n ]\n (0,-6) ellipse (2.5cm and 1.6cm);\n\n\\draw[white, thin] (-2.5,-6) arc(-180:-360:2.5cm and 1.6cm);\n\\draw[purple, thick,dotted] (-2.5,-6) arc(-180:-360:2.5cm and 1.6cm);\n\\draw[red, thick] (-2.5,-6) arc(-180:-221:2.5cm and 1.6cm);\n\\draw[brown, thin] (2.5,-6) arc(-360:-320:2.5cm and 1.6cm);\n\\draw[purple, thick] (-1.5,-6) arc(-180:-360:1.5cm and 1cm);\n\n\\draw[\n brown,thin,decoration={markings, mark=at position 0.625 with {\\arrow{>}}},\n postaction={decorate}\n ]\n (-3,-6) ellipse (1.5cm and 1.5cm);\n\\draw [thin] (3,-6) ellipse (1.5cm and 1.5cm);\n\\draw [thick] (3,-6) ellipse (0.5cm and 0.5cm);\n\n\\node at (0,-4.725) {\\small{$\\tan$}};\n\\node at (-3.9,-6) {\\small{$\\Sigma_1$}};\n\n\\node[orange] at (-2,-8) {\\small{$\\cos$}};\n\\draw[thick,->] (-2.2,-7.9) -- (-3,-7.5);\n\n\\node[cyan] at (2,-8) {\\small{$\\sin$}};\n\n\\node at (-4,-2) {(a)};\n\\node at (-4,-8) {(b)};\n\n\n\\end{tikzpicture}\n\n\\end{document}", "\\documentclass[preprint]{elsarticle}\n\\usepackage{amsmath}\n\\usepackage{amssymb}\n\\usepackage{color}\n\\usepackage{tkz-euclide}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}[scale=0.6]\n\n% part a\n\n\\draw [fill=brown!0, opacity=0.1] (0,0) ellipse (1.5cm and 1cm);\n\\draw [thin] (-3,0) ellipse (1.5cm and 1.5cm);\n\\draw [thick] (3,0) ellipse (0.5cm and 0.5cm);\n\n\n\\draw[red, thin] (-3.5,0) arc(-180:-220:3.5cm and 2.3cm);\n\\draw[brown, thin,dotted] (-3.5,0) arc(-180:-360:3.5cm and 2.3cm);\n\n\\draw[brown, thin,dotted] (-2.5,0) arc(-180:-360:2.5cm and 1.6cm);\n\\draw[red, thick] (-2.5,0) arc(-180:-220:2.5cm and 1.6cm);\n\\draw[brown, thick] (2.5,0) arc(-360:-320:2.5cm and 1.6cm);\n\n\\draw[cyan, thin] (-4.5,0) arc(-180:-360:4.5cm and 3cm);\n\\draw[purple, thin] (-1.5,0) arc(-180:-360:1.5cm and 1.cm);\n\n\n \\draw[\n black,thin,decoration={markings, mark=at position 0.625 with {\\arrow{>}}},\n postaction={decorate}\n ]\n (-3,0) ellipse (0.5cm and 0.5cm);\n\n \\draw[\n brown,thin,densely dashed,decoration={markings, mark=at position 0.625 with {\\arrow{>}}},\n postaction={decorate}\n ]\n (0.03,0.0) ellipse (1.5cm and 1cm);\n\n\\node at (-3,0) {\\small{$\\Sigma'_2$}};\n\\node at (0,0) {\\small{$\\Sigma'_1$}};\n\\node[red] at (0,-1.3) {\\small{$\\cos$}};\n\\node[yellow] at (-3,-0.8) {\\small{$\\sin$}};\n\n% part b\n\n\n\n\\draw [fill=green!65, opacity=0.1] (-3,-6) ellipse (1.5cm and 1.5cm);\n\n\\draw [fill=cyan!83] (-3,-6) ellipse (0.5cm and 0.5cm);\n\n\\draw[red, thin] (-3.5,-6) arc(-180:-220:3.5cm and 2.3cm);\n\\draw[green, thick] (3.5,-6) arc(-360:-320:3.5cm and 2.3cm);\n\\draw[purple, thick,dotted] (-3.5,-6) arc(-180:-360:3.5cm and 2.3cm);\n\n\\draw[green, thin,dotted] (-2.5,-6) arc(-180:-360:2.5cm and 1.6cm);\n\\draw[green, thick] (2.5,-6) arc(-360:-320:2.5cm and 1.6cm);\n\n\n\n\\draw[draw=cyan!100,fill=purple!48,opacity=0.1] (-2.5,-6) arc(-180:180:2.5cm and 1.6cm);\n\\draw [fill=yellow!51,draw=cyan!85] (0,-6) ellipse (1.5cm and 1cm);\n\n\n \\draw[\n cyan,thick,decoration={markings, mark=at position 0.625 with {\\arrow{<}}},\n postaction={decorate}\n ]\n (-3,-6) ellipse (0.5cm and 0.5cm);\n \n \\draw[\n cyan,thin,densely dashed,decoration={markings, mark=at position 0.625 with {\\arrow{<}}},\n postaction={decorate}\n ]\n (0,-6) ellipse (1.5cm and 1cm);\n\n\\draw[\n orange,thin,densely dashed,decoration={markings, mark=at position 0.625 with {\\arrow{>}}},\n postaction={decorate}\n ]\n (0,-6) ellipse (2.5cm and 1.6cm);\n\n\\draw[white, thick] (-2.5,-6) arc(-180:-360:2.5cm and 1.6cm);\n\\draw[green, thin,dotted] (-2.5,-6) arc(-180:-360:2.5cm and 1.6cm);\n\\draw[yellow, thin] (-2.5,-6) arc(-180:-221:2.5cm and 1.6cm);\n\\draw[green, thin] (2.5,-6) arc(-360:-320:2.5cm and 1.6cm);\n\n\\draw[\n brown,thin,decoration={markings, mark=at position 0.625 with {\\arrow{>}}},\n postaction={decorate}\n ]\n (-3,-6) ellipse (1.5cm and 1.5cm);\n\\draw [thin] (3,-6) ellipse (1.5cm and 1.5cm);\n\n\\node at (0,-4.725) {\\small{$\\tan$}};\n\\node at (-3.9,-6) {\\small{$\\Sigma_1$}};\n\n\\node[cyan] at (-2,-8) {\\small{$\\cos$}};\n\\draw[thin,->] (-2.2,-7.9) -- (-3,-7.5);\n\n\\node[green] at (2,-8) {\\small{$\\sin$}};\n\\draw[thin,->] (1.8,-7.9) -- (0,-7.6);\n\\draw[thick,->] (1.8,-7.9) -- (0,-7);\n\n\\node at (-4,-2) {(a)};\n\\node at (-4,-8) {(b)};\n\n\n\\end{tikzpicture}\n\n\\end{document}", "\\documentclass[preprint]{elsarticle}\n\\usepackage{amsmath}\n\\usepackage{amssymb}\n\\usepackage{color}\n\\usepackage{tkz-euclide}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}[scale=0.6]\n\n% part a\n\n\\draw [fill=green!80, opacity=0.1] (0,0) ellipse (1.5cm and 1cm);\n\\draw [thick] (-3,0) ellipse (1.5cm and 1.5cm);\n\\draw [thick] (3,0) ellipse (0.5cm and 0.5cm);\n\\draw [fill=green!2, opacity=0.1] (-3,0) ellipse (0.5cm and 0.5cm);\n\n\n\\draw[green, thick] (-3.5,0) arc(-180:-220:3.5cm and 2.3cm);\n\\draw[brown, thick] (3.5,0) arc(-360:-320:3.5cm and 2.3cm);\n\\draw[red, thick,dotted] (-3.5,0) arc(-180:-360:3.5cm and 2.3cm);\n\n\\draw[yellow, thin,dotted] (-2.5,0) arc(-180:-360:2.5cm and 1.6cm);\n\\draw[yellow, thick] (-2.5,0) arc(-180:-220:2.5cm and 1.6cm);\n\\draw[blue, thick] (2.5,0) arc(-360:-320:2.5cm and 1.6cm);\n\n\\draw[red, thin] (-4.5,0) arc(-180:-360:4.5cm and 3cm);\n\\draw[cyan, thin] (-1.5,0) arc(-180:-360:1.5cm and 1.cm);\n\n\\draw[orange, thin,densely dashed] (-2.5,0) arc(-180:0:2.5cm and 1.6cm);\n\n \\draw[\n green,thick,decoration={markings, mark=at position 0.625 with {\\arrow{>}}},\n postaction={decorate}\n ]\n (-3,0) ellipse (0.5cm and 0.5cm);\n\n \\draw[\n orange,thick,densely dashed,decoration={markings, mark=at position 0.625 with {\\arrow{>}}},\n postaction={decorate}\n ]\n (0,0) ellipse (1.5cm and 1cm);\n\n\\node at (-3,0) {\\small{$\\Sigma'_2$}};\n\\node at (0,0) {\\small{$\\Sigma'_1$}};\n\\node[black] at (0,-1.3) {\\small{$\\cos$}};\n\\node[black] at (-3,-0.8) {\\small{$\\sin$}};\n\n% part b\n\n\n\n\\draw [fill=cyan!93, opacity=0.1] (-2.98,-5.91) ellipse (1.5cm and 1.5cm);\n\n\n\\draw[yellow, thick] (3.5,-6) arc(-360:-320:3.5cm and 2.3cm);\n\\draw[red, thin,dotted] (-3.5,-6) arc(-180:-360:3.5cm and 2.3cm);\n\n\\draw[yellow, thick,dotted] (-2.5,-6) arc(-180:-360:2.5cm and 1.6cm);\n\\draw[orange, thin] (-2.5,-6) arc(-180:-220:2.5cm and 1.6cm);\n\\draw[orange, thin] (2.5,-6) arc(-360:-320:2.5cm and 1.6cm);\n\n\\draw[green, thick] (-4.5,-6) arc(-180:-360:4.5cm and 3cm);\n\n\n\\draw[draw=brown!54,fill=brown!29,opacity=0.1] (-2.5,-6) arc(-180:180:2.5cm and 1.6cm);\n\\draw [fill=yellow!99,draw=yellow!18] (0,-6) ellipse (1.5cm and 1cm);\n\n\n \\draw[\n yellow,thick,decoration={markings, mark=at position 0.625 with {\\arrow{<}}},\n postaction={decorate}\n ]\n (-3,-6) ellipse (0.5cm and 0.5cm);\n \n \\draw[\n blue,thin,densely dashed,decoration={markings, mark=at position 0.625 with {\\arrow{<}}},\n postaction={decorate}\n ]\n (0,-6) ellipse (1.5cm and 1cm);\n\n\\draw[\n brown,thick,densely dashed,decoration={markings, mark=at position 0.625 with {\\arrow{>}}},\n postaction={decorate}\n ]\n (0,-6) ellipse (2.5cm and 1.6cm);\n\n\\draw[white, thick] (-2.5,-6) arc(-180:-360:2.5cm and 1.6cm);\n\\draw[blue, thin] (-2.5,-6) arc(-180:-221:2.5cm and 1.6cm);\n\\draw[purple, thin] (2.5,-6) arc(-360:-320:2.5cm and 1.6cm);\n\\draw[orange, thin] (-1.5,-6) arc(-180:-360:1.5cm and 1cm);\n\n\\draw[\n blue,thin,decoration={markings, mark=at position 0.625 with {\\arrow{>}}},\n postaction={decorate}\n ]\n (-3,-6) ellipse (1.5cm and 1.5cm);\n\\draw [thin] (3,-6) ellipse (1.5cm and 1.5cm);\n\\draw [thin] (3,-6) ellipse (0.5cm and 0.5cm);\n\n\\node at (0,-4.725) {\\small{$\\tan$}};\n\\node at (-3.9,-6) {\\small{$\\Sigma_1$}};\n\n\\node[green] at (-2,-8) {\\small{$\\cos$}};\n\\draw[thick,->] (-2.2,-7.9) -- (-3,-7.5);\n\\draw[thin,->] (-2.2,-7.9) -- (-3,-6.5);\n\n\\node[black] at (2,-8) {\\small{$\\sin$}};\n\\draw[thin,->] (1.8,-7.9) -- (0,-7);\n\n\\node at (-4,-2) {(a)};\n\\node at (-4,-8) {(b)};\n\n\n\\end{tikzpicture}\n\n\\end{document}" ], "sample_images": [ "sample_4_0", "sample_4_1", "sample_4_2" ] }, { "tikz_code": "\\documentclass[a4paper,11pt]{report}\n\\usepackage{amsmath}\n\\usepackage{amssymb}\n\\usepackage{pgfplots}\n\\usepackage{color}\n\\pgfplotsset{width=10cm,compat=1.9}\n\n\\begin{document}\n\n\\begin{tikzpicture}\n\\begin{axis}[scatter/classes={\n\ta1={mark=square*,blue},%\n\ta2={mark=triangle*,blue},%\n\tb1={mark=square*,red},%\n\tb2={mark=triangle*,red},%\n\tc1={mark=square*,green},%\n\tc2={mark=triangle*,green}},\nlegend style={at={(1.35,0.7)},\n\tanchor=north},\nxtick=data,\nylabel={Balanced Accuracy},\nxlabel={Number of traces}]\n\\addplot[scatter,only marks,\nscatter src=explicit symbolic] coordinates {\n\t(8,51) \t[a1]\n\t(8,51) \t[a2]\n\t(16,51) \t[a1]\n\t(16,51) \t[a2]\n\t(24,51) \t[a1]\n\t(24,51)\t\t[a2]\n\t(8,67)\t\t[b1]\n\t(8,66)\t\t[b2]\n\t(16,70)\t\t[b1]\n\t(16,65)\t\t[b2]\n\t(24,70)\t\t[b1]\n\t(24,65)\t\t[b2]\n\t(8,73)\t\t[c1]\n\t(8,73)\t\t[c2]\n\t(16,50)\t\t[c1]\n\t(16,50)\t\t[c2]\n\t(24,50)\t\t[c1]\n\t(24,50)\t\t[c2]\n};\n\\legend{\\ \\ \\ \\ \\ Metagol tested on Random,\\ \\ \\ Metagol tested on Sancho,\\ \\ Aleph tested on Random,Aleph tested on Sancho, \\ \\ \\ ILASP tested on Random,\\ ILASP tested on Sancho,d}\n\\end{axis}\n\\end{tikzpicture}\n\n\\end{document}", "original_image": "original_5", "generated_samples": [ "\\documentclass[a4paper,11pt]{report}\n\\usepackage{amsmath}\n\\usepackage{amssymb}\n\\usepackage{pgfplots}\n\\usepackage{color}\n\\pgfplotsset{width=10cm,compat=1.9}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}\n\\begin{axis}[scatter/classes={\n\ta1={mark=square*,brown},%\n\ta2={mark=triangle*,orange},%\n\tb1={mark=square*,green},%\n\tb2={mark=triangle*,yellow},%\n\tc1={mark=square*,brown},%\n\tc2={mark=triangle*,yellow}},\nlegend style={at={(1.35,0.7)},\n\tanchor=north},\nxtick=data,\nylabel={Balanced Accuracy},\nxlabel={Number of traces}]\n\\addplot[scatter,only marks,\nscatter src=explicit symbolic] coordinates {\n\t(8,51) \t[a1]\n\t(8,51) \t[a2]\n\t(16,51) \t[a1]\n\t(16,51) \t[a2]\n\t(24,51) \t[a1]\n\t(24,51)\t\t[a2]\n\t(8,67)\t\t[b1]\n\t(8,66)\t\t[b2]\n\t(16,70)\t\t[b1]\n\t(16,65)\t\t[b2]\n\t(24,70)\t\t[b1]\n\t(24,65)\t\t[b2]\n\t(8,73)\t\t[c1]\n\t(8,73)\t\t[c2]\n\t(16,50)\t\t[c1]\n\t(16,50)\t\t[c2]\n\t(24,50)\t\t[c1]\n\t(24,50)\t\t[c2]\n};\n\\legend{\\ \\ \\ \\ \\ Metagol tested on Random,\\ \\ \\ Metagol tested on Sancho,\\ \\ Aleph tested on Random,Aleph tested on Sancho, \\ \\ \\ ILASP tested on Random,\\ ILASP tested on Sancho,d}\n\\end{axis}\n\\end{tikzpicture}\n\n\\end{document}", "\\documentclass[a4paper,11pt]{report}\n\\usepackage{amsmath}\n\\usepackage{amssymb}\n\\usepackage{pgfplots}\n\\usepackage{color}\n\\pgfplotsset{width=10cm,compat=1.9}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}\n\\begin{axis}[scatter/classes={\n\ta1={mark=square*,blue},%\n\ta2={mark=triangle*,yellow},%\n\tb1={mark=square*,purple},%\n\tb2={mark=triangle*,green},%\n\tc1={mark=square*,cyan},%\n\tc2={mark=triangle*,green}},\nlegend style={at={(1.35,0.7)},\n\tanchor=north},\nxtick=data,\nylabel={Balanced Accuracy},\nxlabel={Number of traces}]\n\\addplot[scatter,only marks,\nscatter src=explicit symbolic] coordinates {\n\t(8,51) \t[a1]\n\t(8,51) \t[a2]\n\t(16,51) \t[a1]\n\t(16,51) \t[a2]\n\t(24,51) \t[a1]\n\t(24,51)\t\t[a2]\n\t(8,67)\t\t[b1]\n\t(8,66)\t\t[b2]\n\t(16,70)\t\t[b1]\n\t(16,65)\t\t[b2]\n\t(24,70)\t\t[b1]\n\t(24,65)\t\t[b2]\n\t(8,73)\t\t[c1]\n\t(8,73)\t\t[c2]\n\t(16,50)\t\t[c1]\n\t(16,50)\t\t[c2]\n\t(24,50)\t\t[c1]\n\t(24,50)\t\t[c2]\n};\n\\legend{\\ \\ \\ \\ \\ Metagol tested on Random,\\ \\ \\ Metagol tested on Sancho,\\ \\ Aleph tested on Random,Aleph tested on Sancho, \\ \\ \\ ILASP tested on Random,\\ ILASP tested on Sancho,d}\n\\end{axis}\n\\end{tikzpicture}\n\n\\end{document}", "\\documentclass[a4paper,11pt]{report}\n\\usepackage{amsmath}\n\\usepackage{amssymb}\n\\usepackage{pgfplots}\n\\usepackage{color}\n\\pgfplotsset{width=10cm,compat=1.9}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}\n\\begin{axis}[scatter/classes={\n\ta1={mark=square*,yellow},%\n\ta2={mark=triangle*,yellow},%\n\tb1={mark=square*,green},%\n\tb2={mark=triangle*,black},%\n\tc1={mark=square*,brown},%\n\tc2={mark=triangle*,brown}},\nlegend style={at={(1.35,0.7)},\n\tanchor=north},\nxtick=data,\nylabel={Balanced Accuracy},\nxlabel={Number of traces}]\n\\addplot[scatter,only marks,\nscatter src=explicit symbolic] coordinates {\n\t(8,51) \t[a1]\n\t(8,51) \t[a2]\n\t(16,51) \t[a1]\n\t(16,51) \t[a2]\n\t(24,51) \t[a1]\n\t(24,51)\t\t[a2]\n\t(8,67)\t\t[b1]\n\t(8,66)\t\t[b2]\n\t(16,70)\t\t[b1]\n\t(16,65)\t\t[b2]\n\t(24,70)\t\t[b1]\n\t(24,65)\t\t[b2]\n\t(8,73)\t\t[c1]\n\t(8,73)\t\t[c2]\n\t(16,50)\t\t[c1]\n\t(16,50)\t\t[c2]\n\t(24,50)\t\t[c1]\n\t(24,50)\t\t[c2]\n};\n\\legend{\\ \\ \\ \\ \\ Metagol tested on Random,\\ \\ \\ Metagol tested on Sancho,\\ \\ Aleph tested on Random,Aleph tested on Sancho, \\ \\ \\ ILASP tested on Random,\\ ILASP tested on Sancho,d}\n\\end{axis}\n\\end{tikzpicture}\n\n\\end{document}" ], "sample_images": [ "sample_5_0", "sample_5_1", "sample_5_2" ] }, { "tikz_code": "\\documentclass[reprint,aip,onecolumn,nofootinbib]{revtex4-2}\n\\usepackage{amssymb}\n\\usepackage{amsmath}\n\\usepackage[colorlinks=true]{hyperref}\n\\usepackage[dvipsnames]{xcolor}\n\\usepackage{tikz}\n\\usepackage[utf8]{inputenc}\n\\usepackage[T1]{fontenc}\n\n\\begin{document}\n\n\\begin{tikzpicture}[thick,scale=0.5]\n\\fill[Blue!10!White] (-4,4) -- (0,0) -- (4,4) .. controls +(2,2) and +(-2,2) .. (-4,4);\n\\draw[Red] (-5,-1.5) -- (5,1.5) node [above left] {$\\mathcal{N}_x$};\n\\draw[Red] (-5,1.5) -- (5,-1.5);\n\\draw[Red] (-4,-4) -- (4,4);\n\\draw[Red] (-4,4) -- (4,-4);\n\\draw[Green] (-3.5,4) .. controls +(3.5,-3.5) and +(-3.5,-3.5) .. (3.5,4) node [above left] {$\\mathcal{O}_x$};\n\\draw[Green] (-3.5,4) .. controls +(1.5,-1.5) and +(-1.5,-1.5) .. (3.5,4) .. controls +(1.5,1.5) and +(-1.5,1.5) .. (-3.5,4);\n\\draw[Red] (-4,4) .. controls +(2,-2) and +(-2,-2) .. (4,4) .. controls +(2,2) and +(-2,2) .. (-4,4);\n\\draw[Red] (-3.5,3.5) .. controls +(-2,-0.5) and +(-1,0.3) .. (-5,1.5) .. controls +(2,-0.6) and +(-2,-0.6) .. (5,1.5) .. controls +(1,0.3) and +(2,-0.5) .. (3.5,3.5);\n\\draw[Blue] (0,4) node {$\\mathcal{T}_x$};\n\\end{tikzpicture}\n\n\\end{document}", "original_image": "original_6", "generated_samples": [ "\\documentclass[reprint,aip,onecolumn,nofootinbib]{revtex4-2}\n\\usepackage{amssymb}\n\\usepackage{amsmath}\n\\usepackage[colorlinks=true]{hyperref}\n\\usepackage[dvipsnames]{xcolor}\n\\usepackage{tikz}\n\\usepackage[utf8]{inputenc}\n\\usepackage[T1]{fontenc}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}[thick,scale=0.5]\n\\fill[Blue!10!White] (-4,4) -- (0,0) -- (4,4) .. controls +(2,2) and +(-2,2) .. (-4,4);\n\\draw[Red] (-5,-1.5) -- (5,1.5) node [above left] {$\\mathcal{N}_x$};\n\\draw[Red] (-5,1.5) -- (5,-1.5);\n\\draw[Green] (-3.5,4) .. controls +(3.5,-3.5) and +(-3.5,-3.5) .. (3.5,4) node [above left] {$\\mathcal{O}_x$};\n\\draw[Green] (-3.5,4) .. controls +(1.5,-1.5) and +(-1.5,-1.5) .. (3.5,4) .. controls +(1.5,1.5) and +(-1.5,1.5) .. (-3.5,4);\n\\draw[Red] (-4,4) .. controls +(2,-2) and +(-2,-2) .. (4,4) .. controls +(2,2) and +(-2,2) .. (-4,4);\n\\draw[Red] (-3.5,3.5) .. controls +(-2,-0.5) and +(-1,0.3) .. (-5,1.5) .. controls +(2,-0.6) and +(-2,-0.6) .. (5,1.5) .. controls +(1,0.3) and +(2,-0.5) .. (3.5,3.5);\n\\draw[Blue] (0.14,4.17) node {$\\mathcal{T}_x$};\n\\end{tikzpicture}\n\n\\end{document}", "\\documentclass[reprint,aip,onecolumn,nofootinbib]{revtex4-2}\n\\usepackage{amssymb}\n\\usepackage{amsmath}\n\\usepackage[colorlinks=true]{hyperref}\n\\usepackage[dvipsnames]{xcolor}\n\\usepackage{tikz}\n\\usepackage[utf8]{inputenc}\n\\usepackage[T1]{fontenc}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}[thick,scale=0.5]\n\\fill[Blue!10!White] (-4,4) -- (0,0) -- (4,4) .. controls +(2,2) and +(-2,2) .. (-4,4);\n\\draw[Red] (-5,-1.5) -- (5,1.5) node [above left] {$\\mathcal{N}_x$};\n\\draw[Red] (-5,1.5) -- (5,-1.5);\n\\draw[Green] (-3.5,4) .. controls +(3.5,-3.5) and +(-3.5,-3.5) .. (3.5,4) node [above left] {$\\mathcal{O}_x$};\n\\draw[Green] (-3.5,4) .. controls +(1.5,-1.5) and +(-1.5,-1.5) .. (3.5,4) .. controls +(1.5,1.5) and +(-1.5,1.5) .. (-3.5,4);\n\\draw[Red] (-4,4) .. controls +(2,-2) and +(-2,-2) .. (4,4) .. controls +(2,2) and +(-2,2) .. (-4,4);\n\\draw[Red] (-3.5,3.5) .. controls +(-2,-0.5) and +(-1,0.3) .. (-5,1.5) .. controls +(2,-0.6) and +(-2,-0.6) .. (5,1.5) .. controls +(1,0.3) and +(2,-0.5) .. (3.5,3.5);\n\\draw[Blue] (0,4) node {$\\mathcal{T}_x$};\n\\end{tikzpicture}\n\n\\end{document}", "\\documentclass[reprint,aip,onecolumn,nofootinbib]{revtex4-2}\n\\usepackage{amssymb}\n\\usepackage{amsmath}\n\\usepackage[colorlinks=true]{hyperref}\n\\usepackage[dvipsnames]{xcolor}\n\\usepackage{tikz}\n\\usepackage[utf8]{inputenc}\n\\usepackage[T1]{fontenc}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}[thick,scale=0.5]\n\\fill[Blue!10!White] (-4,4) -- (0,0) -- (4,4) .. controls +(2,2) and +(-2,2) .. (-4,4);\n\\draw[Red] (-4.93,-1.31) -- (5.06,1.55) node [above left] {$\\mathcal{N}_x$};\n\\draw[Red] (-4.99,1.75) -- (5.19,-1.3);\n\\draw[Red] (-4,-4) -- (4,4);\n\\draw[Red] (-4,4) -- (4,-4);\n\\draw[Green] (-3.5,4) .. controls +(3.5,-3.5) and +(-3.5,-3.5) .. (3.5,4) node [above left] {$\\mathcal{O}_x$};\n\\draw[Green] (-3.5,4) .. controls +(1.5,-1.5) and +(-1.5,-1.5) .. (3.5,4) .. controls +(1.5,1.5) and +(-1.5,1.5) .. 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pt);\n\t\n\t\n\t\\fill[cyan!21, fill opacity=0.4](O1) --(O2)--(O3) --(O4)--(O5)--(O6)--(O1);\n\t\n\t\\draw (I1)--(I2)--(I3)--(I1);\n\t\\draw (O1)--(O2)--(O3)--(O4)--(O5)--(O6)--(O1);\n\t\\draw (O3)--(I2)--(O5)--(I3)--(O1)--(I1)--(O3);\n\t\n\t% Label the vertices\n\t\\node[right] at (O1){$3$};\n\t\\node[left] at (O2){$4$};\n\t\\node[left] at (O3){$5$};\n\t\\node[left] at (O4){$3$};\n\t\\node[right] at (O5){$4$};\n\t\\node[right] at (O6){$5$};\n\t\\node[left] at (I1){$0$};\n\t\\node[left] at (I2){$1$};\n\t\\node[below] at (I3){$2\\quad$};\n\t\n\t\\end{tikzpicture}\n\n\\end{document}", "\\documentclass[a4paper,oneside]{amsart}\n\\usepackage{tikz}\n\\usepackage{amssymb}\n\\usepackage{amsmath, mathtools}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}\t[scale=1.2, inner sep=3mm]\n\t\n\t\\foreach \\i in {1, ..., 6}\n\t\\fill (\\i*360/6:2) coordinate (O\\i) circle(2.4 pt);\n\t\n\t\\foreach \\i in {1,2,3}\n\t\\fill (\\i*360/3:1) coordinate (I\\i) circle(2.4 pt);\n\t\n\t\n\t\\fill[blue!68, fill opacity=0.4](O1) --(O2)--(O3) --(O4)--(O5)--(O6)--(O1);\n\t\n\t\\draw (I1)--(I2)--(I3)--(I1);\n\t\\draw (O6)--(I3); \\draw (I1)--(O2); \\draw (I2)--(O4);\n\t\n\t% Label the vertices\n\t\\node[right] at (O1){$3$};\n\t\\node[left] at (O2){$4$};\n\t\\node[left] at (O3){$5$};\n\t\\node[left] at (O4){$3$};\n\t\\node[right] at (O5){$4$};\n\t\\node[right] at (O6){$5$};\n\t\\node[left] at (I1){$0$};\n\t\\node[left] at (I2){$1$};\n\t\\node[below] at (I3){$2\\quad$};\n\t\n\t\\end{tikzpicture}\n\n\\end{document}", "\\documentclass[a4paper,oneside]{amsart}\n\\usepackage{tikz}\n\\usepackage{amssymb}\n\\usepackage{amsmath, mathtools}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}\t[scale=1.2, inner sep=3mm]\n\t\n\t\\foreach \\i in {1, ..., 6}\n\t\\fill (\\i*360/6:2) coordinate (O\\i) circle(2.4 pt);\n\t\n\t\\foreach \\i in {1,2,3}\n\t\\fill (\\i*360/3:1) coordinate (I\\i) circle(2.4 pt);\n\t\n\t\n\t\\fill[blue!99, fill opacity=0.4](O1) --(O2)--(O3) --(O4)--(O5)--(O6)--(O1);\n\t\n\t\\draw (I1)--(I2)--(I3)--(I1);\n\t\\draw (O1)--(O2)--(O3)--(O4)--(O5)--(O6)--(O1);\n\t\\draw (O3)--(I2)--(O5)--(I3)--(O1)--(I1)--(O3);\n\t\\draw (O6)--(I3); \\draw (I1)--(O2); \\draw (I2)--(O4);\n\t\n\t% Label the vertices\n\t\\node[right] at (O1){$3$};\n\t\\node[left] at (O2){$4$};\n\t\\node[left] at (O3){$5$};\n\t\\node[left] at (O4){$3$};\n\t\\node[right] at (O5){$4$};\n\t\\node[right] at (O6){$5$};\n\t\\node[left] at (I1){$0$};\n\t\\node[left] at (I2){$1$};\n\t\\node[below] at (I3){$2\\quad$};\n\t\n\t\\end{tikzpicture}\n\n\\end{document}" ], "sample_images": [ "sample_9_0", "sample_9_1", "sample_9_2" ] }, { "tikz_code": "\\documentclass[a4paper,oneside]{amsart}\n\\usepackage{tikz}\n\\usepackage{amssymb}\n\\usepackage{amsmath, mathtools}\n\n\\begin{document}\n\n\\begin{tikzpicture} [scale=1.6, inner sep=2mm]\n\t\t\\coordinate (1) at (0,0);\n\t\t\\coordinate (2) at (1,0);\n\t\t\\coordinate (3) at (-0.5, 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0.5);\n\t\t\n\t\t\\fill[green!32, fill opacity=0.4] (1)--(3)--(4)--(5)--(2)--(1);\n\t\t\\draw (1)node[left] {$v_\\sigma$} -- (3) -- (4) -- (1) --(2)--(4)--(5)--(2);\n\t\t\n\t\t\\draw (l1) node[below, inner sep=0mm] {$\\sigma$};\n\t\t\\draw (l2) node[above, inner sep=0mm] {$\\sigma'$};\n\t\t\\draw (l3) node[above, inner sep=0mm] {$\\sigma''$};\n\t\t\\foreach \\i in {1,...,5} {\\fill (\\i) circle (2pt);}; \n\t\t\\end{tikzpicture}\n\n\\end{document}", "\\documentclass[a4paper,oneside]{amsart}\n\\usepackage{tikz}\n\\usepackage{amssymb}\n\\usepackage{amsmath, mathtools}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture} [scale=1.6, inner sep=2mm]\n\t\t\\coordinate (1) at (0,0);\n\t\t\\coordinate (2) at (1,0);\n\t\t\\coordinate (3) at (-0.5, 1);\n\t\t\\coordinate (4) at (0.5, 1);\n\t\t\\coordinate (5) at (1.5, 1);\n\t\t\\coordinate (l1) at (0.5,0.5);\n\t\t\\coordinate (l2) at (1, 0.5);\n\t\t\\coordinate (l3) at (0, 0.5);\n\t\t\n\t\t\\fill[cyan!51, fill opacity=0.4] (1)--(3)--(4)--(5)--(2)--(1);\n\t\t\\draw (1)node[left] {$v_\\sigma$} -- (3) -- (4) -- (1) --(2)--(4)--(5)--(2);\n\t\t\n\t\t\\draw (l1) node[below, inner sep=0mm] {$\\sigma$};\n\t\t\\draw (l2) node[above, inner sep=0mm] {$\\sigma'$};\n\t\t\\draw (l3) node[above, inner sep=0mm] {$\\sigma''$};\n\t\t\\foreach \\i in {1,...,5} {\\fill (\\i) circle (2pt);}; \n\t\t\\end{tikzpicture}\n\n\\end{document}" ], "sample_images": [ "sample_10_0", "sample_10_1", "sample_10_2" ] }, { "tikz_code": "\\documentclass[a4paper,oneside]{amsart}\n\\usepackage{tikz}\n\\usepackage{amssymb}\n\\usepackage{amsmath, mathtools}\n\n\\begin{document}\n\n\\begin{tikzpicture}[scale=\\textwidth/10.5cm, inner sep=2mm]\n\t\\begin{scope}\n\t\\coordinate (1) at (0,1);\n\t\\coordinate (2) at (1, 1);\n\t\\coordinate (3) at (1,0);\n\t\\coordinate (4) at (0,0);\n\t\\coordinate (6) at (1.7, 0.5);\n\t\n\t% Fill to make it a 2-complex\n\t\\fill[lightgray, fill opacity=0.4] (2)--(6)--(3)--(2); \n\t\n\t% Draw the 1-simplices\n\t\\draw[] (4)--(1)--(2)--(3)--(4); \n\t\\draw[] (2)--(6)node[right] {$v_\\tau$}--(3)node[below] {$v_\\sigma$}; \n\t\n\t% Draw all of the vertices\n\t\\foreach \\i in {1, ..., 4, 6} {\\fill (\\i) circle (1.5pt);}\n\t\n\t%Contracting simplex\n\t\\draw[line width=3] (3)--(6);\n\t\\foreach \\i in {3, 6} {\\fill (\\i) circle (2pt);}\n\t\n\t\\node at (1.5,0.85){$\\tau$};\n\t\\node[left, inner sep=1mm] at (1,0.5){$\\sigma$};\n\t\n\t\n\t%Arrow to next\n\t\\draw[->, line width=2] (2.5, 0.5) -- (3.0, 0.5);\n\t\n\t\\end{scope}\t\t\t\n\t\\begin{scope}[xshift=3.6cm]\n\t\\coordinate (1) at (0,1);\n\t\\coordinate (2) at (1, 1);\n\t\\coordinate (3) at (1,0);\n\t\\coordinate (4) at (0,0);\n\t\n\t% Draw the 1-simplices\n\t\\draw[] (4)--(1)--(2)--(3)--(4); \n\t\n\t% Draw all of the vertices\n\t\\foreach \\i in {1, ..., 4} {\\fill (\\i) circle (1.5pt);}\n\t\\node[right, inner sep=1mm] at (1,0.5){$\\hat{\\sigma}$};\n\t\\end{scope}\n\t\\end{tikzpicture}\n\n\\end{document}", "original_image": "original_11", "generated_samples": [ "\\documentclass[a4paper,oneside]{amsart}\n\\usepackage{tikz}\n\\usepackage{amssymb}\n\\usepackage{amsmath, mathtools}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}[scale=\\textwidth/10.5cm, inner sep=2mm]\n\t\\begin{scope}\n\t\\coordinate (1) at (0,1);\n\t\\coordinate (2) at (1, 1);\n\t\\coordinate (3) at (1,0);\n\t\\coordinate (4) at (0,0);\n\t\\coordinate (6) at (1.7, 0.5);\n\t\n\t% Fill to make it a 2-complex\n\t\\fill[black!65, fill opacity=0.4] (2)--(6)--(3)--(2); \n\t\n\t% Draw the 1-simplices\n\t\\draw[] (4)--(1)--(2)--(3)--(4); \n\t\\draw[] (2)--(6)node[right] {$v_\\tau$}--(3)node[below] {$v_\\sigma$}; \n\t\n\t% Draw all of the vertices\n\t\\foreach \\i in {1, ..., 4, 6} {\\fill (\\i) circle (1.5pt);}\n\t\n\t%Contracting simplex\n\t\\draw[line width=3] (3)--(6);\n\t\\foreach \\i in {3, 6} {\\fill (\\i) circle (2pt);}\n\t\n\t\\node at (1.5,0.85){$\\tau$};\n\t\\node[left, inner sep=1mm] at (1,0.5){$\\cos$};\n\t\n\t\n\t%Arrow to next\n\t\\draw[->, line width=2] (2.5, 0.5) -- (3.0, 0.5);\n\t\n\t\\end{scope}\t\t\t\n\t\\begin{scope}[xshift=3.6cm]\n\t\\coordinate (1) at (0,1);\n\t\\coordinate (2) at (1, 1);\n\t\\coordinate (3) at (1,0);\n\t\\coordinate (4) at (0,0);\n\t\n\t% Draw the 1-simplices\n\t\\draw[] (4)--(1)--(2)--(3)--(4); \n\t\n\t% Draw all of the vertices\n\t\\foreach \\i in {1, ..., 4} {\\fill (\\i) circle (1.5pt);}\n\t\\node[right, inner sep=1mm] at (1,0.5){$\\hat{\\sigma}$};\n\t\\end{scope}\n\t\\end{tikzpicture}\n\n\\end{document}", "\\documentclass[a4paper,oneside]{amsart}\n\\usepackage{tikz}\n\\usepackage{amssymb}\n\\usepackage{amsmath, mathtools}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}[scale=\\textwidth/10.5cm, inner sep=2mm]\n\t\\begin{scope}\n\t\\coordinate (1) at (0,1);\n\t\\coordinate (2) at (1, 1);\n\t\\coordinate (3) at (1,0);\n\t\\coordinate (4) at (0,0);\n\t\\coordinate (6) at (1.7, 0.5);\n\t\n\t% Fill to make it a 2-complex\n\t\\fill[green!93, fill opacity=0.4] (2)--(6)--(3)--(2); \n\t\n\t% Draw the 1-simplices\n\t\\draw[] (4)--(1)--(2)--(3)--(4); \n\t\\draw[] (2)--(6)node[right] {$v_\\tau$}--(3)node[below] {$v_\\sigma$}; \n\t\n\t% Draw all of the vertices\n\t\\foreach \\i in {1, ..., 4, 6} {\\fill (\\i) circle (1.5pt);}\n\t\n\t%Contracting simplex\n\t\\draw[line width=3] (3)--(6);\n\t\\foreach \\i in {3, 6} {\\fill (\\i) circle (2pt);}\n\t\n\t\\node at (1.5,0.85){$\\tau$};\n\t\\node[left, inner sep=1mm] at (1,0.5){$\\cos$};\n\t\n\t\n\t%Arrow to next\n\t\\draw[->, line width=2] (2.5, 0.5) -- (3.0, 0.5);\n\t\n\t\\end{scope}\t\t\t\n\t\\begin{scope}[xshift=3.6cm]\n\t\\coordinate (1) at (0,1);\n\t\\coordinate (2) at (1, 1);\n\t\\coordinate (3) at (1,0);\n\t\\coordinate (4) at (0,0);\n\t\n\t% Draw the 1-simplices\n\t\\draw[] (4)--(1)--(2)--(3)--(4); \n\t\n\t% Draw all of the vertices\n\t\\foreach \\i in {1, ..., 4} {\\fill (\\i) circle (1.5pt);}\n\t\\node[right, inner sep=1mm] at (1,0.5){$\\hat{\\sigma}$};\n\t\\end{scope}\n\t\\end{tikzpicture}\n\n\\end{document}", "\\documentclass[a4paper,oneside]{amsart}\n\\usepackage{tikz}\n\\usepackage{amssymb}\n\\usepackage{amsmath, mathtools}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}[scale=\\textwidth/10.5cm, inner sep=2mm]\n\t\\begin{scope}\n\t\\coordinate (1) at (0,1);\n\t\\coordinate (2) at (1, 1);\n\t\\coordinate (3) at (1,0);\n\t\\coordinate (4) at (0,0);\n\t\\coordinate (6) at (1.7, 0.5);\n\t\n\t% Fill to make it a 2-complex\n\t\\fill[red!31, fill opacity=0.4] (2)--(6)--(3)--(2); \n\t\n\t% Draw the 1-simplices\n\t\\draw[] (4)--(1)--(2)--(3)--(4); \n\t\n\t% Draw all of the vertices\n\t\\foreach \\i in {1, ..., 4, 6} {\\fill (\\i) circle (1.5pt);}\n\t\n\t%Contracting simplex\n\t\\draw[line width=3] (3)--(6);\n\t\\foreach \\i in {3, 6} {\\fill (\\i) circle (2pt);}\n\t\n\t\\node at (1.5,0.85){$\\tau$};\n\t\\node[left, inner sep=1mm] at (1,0.5){$\\cos$};\n\t\n\t\n\t%Arrow to next\n\t\\draw[->, line width=2] (2.5, 0.5) -- (3.0, 0.5);\n\t\n\t\\end{scope}\t\t\t\n\t\\begin{scope}[xshift=3.6cm]\n\t\\coordinate (1) at (0,1);\n\t\\coordinate (2) at (1, 1);\n\t\\coordinate (3) at (1,0);\n\t\\coordinate (4) at (0,0);\n\t\n\t% Draw the 1-simplices\n\t\\draw[] (4)--(1)--(2)--(3)--(4); \n\t\n\t% Draw all of the vertices\n\t\\foreach \\i in {1, ..., 4} {\\fill (\\i) circle (1.5pt);}\n\t\\node[right, inner sep=1mm] at (1,0.5){$\\hat{\\sigma}$};\n\t\\end{scope}\n\t\\end{tikzpicture}\n\n\\end{document}" ], "sample_images": [ "sample_11_0", "sample_11_1", "sample_11_2" ] }, { "tikz_code": "\\documentclass[a4paper,oneside]{amsart}\n\\usepackage{tikz}\n\\usepackage{amssymb}\n\\usepackage{amsmath, mathtools}\n\n\\begin{document}\n\n\\begin{tikzpicture} [scale=1.5, inner sep=2mm]\n\t\t\\coordinate (1) at (-0.1,-0.3);\n\t\t\\coordinate (3) at (1.1,-0.3);\n\t\t\\coordinate (5) at (0.55,1.85);\n\t\t\\coordinate (4) at (-0.7, 0.7);\n\t\t\\coordinate (2) at (1.7, 0.7);\n\t\t\\coordinate (6) at (0, 0.4);\n\t\t\\coordinate (7) at (1, 0.4);\n\t\t\n\t\t\\draw[dashed] (2)--(4);\n\t\t\\fill[lightgray, fill opacity=0.4] (5) --(4) --(1) -- (3) -- (2) --(5);\n\t\t\\draw (5) node[above] {5} --(4) node[left]{4}--(1) node[below] {1} -- (3) node[below] {3} -- (2) node[right]{2}--(5);\n\t\t\\draw(4)--(6)node[above left, inner sep=1mm] {7}--(3); \\draw (1)--(6)--(5);\n\t\t\\draw (6)--(7) node[above right, inner sep=1mm] {8}--(2); \\draw (3)--(7)--(5);\n\t\t\n\t\t\\foreach \\i in {1,..., 5} {\\fill (\\i) circle (1.8pt);}; \n\t\t\\foreach \\i in {6,7} {\\fill[] (\\i) circle (2.2pt);};\n\t\t\\end{tikzpicture}\n\n\\end{document}", "original_image": "original_12", "generated_samples": [ "\\documentclass[a4paper,oneside]{amsart}\n\\usepackage{tikz}\n\\usepackage{amssymb}\n\\usepackage{amsmath, mathtools}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture} [scale=1.5, inner sep=2mm]\n\t\t\\coordinate (1) at (-0.1,-0.3);\n\t\t\\coordinate (3) at (1.1,-0.3);\n\t\t\\coordinate (5) at (0.55,1.85);\n\t\t\\coordinate (4) at (-0.7, 0.7);\n\t\t\\coordinate (2) at (1.7, 0.7);\n\t\t\\coordinate (6) at (0, 0.4);\n\t\t\\coordinate (7) at (1, 0.4);\n\t\t\n\t\t\\draw[dotted] (2)--(4);\n\t\t\\fill[orange!56, fill opacity=0.4] (5) --(4) --(1) -- (3) -- (2) --(5);\n\t\t\\draw (5) node[above] {5} --(4) node[left]{4}--(1) node[below] {1} -- (3) node[below] {3} -- (2) node[right]{2}--(5);\n\t\t\\draw(4)--(6)node[above left, inner sep=1mm] {7}--(3); \\draw (1)--(6)--(5);\n\t\t\\draw (6)--(7) node[above right, inner sep=1mm] {8}--(2); \\draw (3)--(7)--(5);\n\t\t\n\t\t\\foreach \\i in {1,..., 5} {\\fill (\\i) circle (1.8pt);}; \n\t\t\\foreach \\i in {6,7} {\\fill[] (\\i) circle (2.2pt);};\n\t\t\\end{tikzpicture}\n\n\\end{document}", "\\documentclass[a4paper,oneside]{amsart}\n\\usepackage{tikz}\n\\usepackage{amssymb}\n\\usepackage{amsmath, mathtools}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture} [scale=1.5, inner sep=2mm]\n\t\t\\coordinate (1) at (-0.1,-0.3);\n\t\t\\coordinate (3) at (1.1,-0.3);\n\t\t\\coordinate (5) at (0.55,1.85);\n\t\t\\coordinate (4) at (-0.7, 0.7);\n\t\t\\coordinate (2) at (1.7, 0.7);\n\t\t\\coordinate (6) at (0, 0.4);\n\t\t\\coordinate (7) at (1, 0.4);\n\t\t\n\t\t\\draw[dotted] (2)--(4);\n\t\t\\fill[black!91, fill opacity=0.4] (5) --(4) --(1) -- (3) -- (2) --(5);\n\t\t\\draw (5) node[above] {5} --(4) node[left]{4}--(1) node[below] {1} -- (3) node[below] {3} -- (2) node[right]{2}--(5);\n\t\t\\draw (6)--(7) node[above right, inner sep=1mm] {8}--(2); \\draw (3)--(7)--(5);\n\t\t\n\t\t\\foreach \\i in {1,..., 5} {\\fill (\\i) circle (1.8pt);}; \n\t\t\\foreach \\i in {6,7} {\\fill[] (\\i) circle (2.2pt);};\n\t\t\\end{tikzpicture}\n\n\\end{document}", "\\documentclass[a4paper,oneside]{amsart}\n\\usepackage{tikz}\n\\usepackage{amssymb}\n\\usepackage{amsmath, mathtools}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture} [scale=1.5, inner sep=2mm]\n\t\t\\coordinate (1) at (-0.1,-0.3);\n\t\t\\coordinate (3) at (1.1,-0.3);\n\t\t\\coordinate (5) at (0.55,1.85);\n\t\t\\coordinate (4) at (-0.7, 0.7);\n\t\t\\coordinate (2) at (1.7, 0.7);\n\t\t\\coordinate (6) at (0, 0.4);\n\t\t\\coordinate (7) at (1, 0.4);\n\t\t\n\t\t\\draw[dotted] (2)--(4);\n\t\t\\fill[brown!38, fill opacity=0.4] (5) --(4) --(1) -- (3) -- (2) --(5);\n\t\t\\draw (5) node[above] {5} --(4) node[left]{4}--(1) node[below] {1} -- (3) node[below] {3} -- (2) node[right]{2}--(5);\n\t\t\n\t\t\\foreach \\i in {1,..., 5} {\\fill (\\i) circle (1.8pt);}; \n\t\t\\foreach \\i in {6,7} {\\fill[] (\\i) circle (2.2pt);};\n\t\t\\end{tikzpicture}\n\n\\end{document}" ], "sample_images": [ "sample_12_0", "sample_12_1", "sample_12_2" ] }, { "tikz_code": "\\documentclass[a4paper,oneside]{amsart}\n\\usepackage{tikz}\n\\usepackage{amssymb}\n\\usepackage{amsmath, mathtools}\n\n\\begin{document}\n\n\\begin{tikzpicture} [scale=1.5, inner sep=2mm]\n\t\t\\coordinate (1) at (-0.1,-0.3);\n\t\t\\coordinate (3) at (1.1,-0.3);\n\t\t\\coordinate (5) at (0.55,1.85);\n\t\t\\coordinate (4) at (-0.7, 0.7);\n\t\t\\coordinate (2) at (1.7, 0.7);\n\t\t\\coordinate (6) at (0, 0.4);\n\t\t\\coordinate (7) at (1, 0.4);\n\t\t\n\t\t\\draw[dashed] (2)--(4);\n\t\t\\fill[lightgray, fill opacity=0.4] (5) --(4) --(1) -- (3) -- (2) --(5);\n\t\t\\draw (5) node[above] {5} --(4) node[left]{4}--(1) node[below] {1} -- (3) node[below] {3} -- (2) node[right]{2}--(5);\n\t\t\\draw(4)--(6) node[above left, inner sep=1mm] {8}--(7); \\draw (1)--(6)--(5);\n\t\t\\draw (1)--(7) node[above right, inner sep=1mm] {7}--(2); \\draw (3)--(7)--(5);\n\t\t\n\t\t\\foreach \\i in {1,..., 5} {\\fill (\\i) circle (1.8pt);}; \n\t\t\\foreach \\i in {6,7} {\\fill[] (\\i) circle (2.2pt);}; \n\t\t\\end{tikzpicture}\n\n\\end{document}", "original_image": "original_13", "generated_samples": [ "\\documentclass[a4paper,oneside]{amsart}\n\\usepackage{tikz}\n\\usepackage{amssymb}\n\\usepackage{amsmath, mathtools}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture} [scale=1.5, inner sep=2mm]\n\t\t\\coordinate (1) at (-0.1,-0.3);\n\t\t\\coordinate (3) at (1.1,-0.3);\n\t\t\\coordinate (5) at (0.55,1.85);\n\t\t\\coordinate (4) at (-0.7, 0.7);\n\t\t\\coordinate (2) at (1.7, 0.7);\n\t\t\\coordinate (6) at (0, 0.4);\n\t\t\\coordinate (7) at (1, 0.4);\n\t\t\n\t\t\\draw[dotted] (2)--(4);\n\t\t\\fill[green!28, fill opacity=0.4] (5) --(4) --(1) -- (3) -- (2) --(5);\n\t\t\\draw (5) node[above] {5} --(4) node[left]{4}--(1) node[below] {1} -- (3) node[below] {3} -- (2) node[right]{2}--(5);\n\t\t\\draw (1)--(7) node[above right, inner sep=1mm] {7}--(2); \\draw (3)--(7)--(5);\n\t\t\n\t\t\\foreach \\i in {1,..., 5} {\\fill (\\i) circle (1.8pt);}; \n\t\t\\foreach \\i in {6,7} {\\fill[] (\\i) circle (2.2pt);}; \n\t\t\\end{tikzpicture}\n\n\\end{document}", "\\documentclass[a4paper,oneside]{amsart}\n\\usepackage{tikz}\n\\usepackage{amssymb}\n\\usepackage{amsmath, mathtools}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture} [scale=1.5, inner sep=2mm]\n\t\t\\coordinate (1) at (-0.1,-0.3);\n\t\t\\coordinate (3) at (1.1,-0.3);\n\t\t\\coordinate (5) at (0.55,1.85);\n\t\t\\coordinate (4) at (-0.7, 0.7);\n\t\t\\coordinate (2) at (1.7, 0.7);\n\t\t\\coordinate (6) at (0, 0.4);\n\t\t\\coordinate (7) at (1, 0.4);\n\t\t\n\t\t\\draw[dotted] (2)--(4);\n\t\t\\fill[yellow!54, fill opacity=0.4] (5) --(4) --(1) -- (3) -- (2) --(5);\n\t\t\\draw(4)--(6) node[above left, inner sep=1mm] {8}--(7); \\draw (1)--(6)--(5);\n\t\t\\draw (1)--(7) node[above right, inner sep=1mm] {7}--(2); \\draw (3)--(7)--(5);\n\t\t\n\t\t\\foreach \\i in {1,..., 5} {\\fill (\\i) circle (1.8pt);}; \n\t\t\\foreach \\i in {6,7} {\\fill[] (\\i) circle (2.2pt);}; \n\t\t\\end{tikzpicture}\n\n\\end{document}", "\\documentclass[a4paper,oneside]{amsart}\n\\usepackage{tikz}\n\\usepackage{amssymb}\n\\usepackage{amsmath, mathtools}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture} [scale=1.5, inner sep=2mm]\n\t\t\\coordinate (1) at (-0.1,-0.3);\n\t\t\\coordinate (3) at (1.1,-0.3);\n\t\t\\coordinate (5) at (0.55,1.85);\n\t\t\\coordinate (4) at (-0.7, 0.7);\n\t\t\\coordinate (2) at (1.7, 0.7);\n\t\t\\coordinate (6) at (0, 0.4);\n\t\t\\coordinate (7) at (1, 0.4);\n\t\t\n\t\t\\draw[dotted] (2)--(4);\n\t\t\\fill[cyan!32, fill opacity=0.4] (5) --(4) --(1) -- (3) -- (2) --(5);\n\t\t\\draw (5) node[above] {5} --(4) node[left]{4}--(1) node[below] {1} -- (3) node[below] {3} -- (2) node[right]{2}--(5);\n\t\t\\draw(4)--(6) node[above left, inner sep=1mm] {8}--(7); \\draw (1)--(6)--(5);\n\t\t\\draw (1)--(7) node[above right, inner sep=1mm] {7}--(2); \\draw (3)--(7)--(5);\n\t\t\n\t\t\\foreach \\i in {1,..., 5} {\\fill (\\i) circle (1.8pt);}; \n\t\t\\foreach \\i in {6,7} {\\fill[] (\\i) circle (2.2pt);}; \n\t\t\\end{tikzpicture}\n\n\\end{document}" ], "sample_images": [ "sample_13_0", "sample_13_1", "sample_13_2" ] }, { "tikz_code": "\\documentclass[a4paper,oneside]{amsart}\n\\usepackage{tikz}\n\\usepackage{amssymb}\n\\usepackage{amsmath, mathtools}\n\n\\begin{document}\n\n\\begin{tikzpicture} [scale=1.5, inner sep=2mm]\n\t\t\\coordinate (4) at (0,0);\n\t\t\\coordinate (1) at (1,0);\n\t\t\\coordinate (2) at (0.6,0.5);\n\t\t\\coordinate (3) at (1.55,0.5);\n\t\t\\coordinate (5) at (0.8,1.5);\n\t\t\\coordinate (6) at (0.8,-1.2);\n\t\t\n\t\t% 2-simplices\n\t\t\\fill[lightgray, fill opacity=0.4] (5)--(4)--(6)--(3)--(2)--(5);\n\t\t\\draw (2)--(0.65,0);\n\t\t\\fill[lightgray, fill opacity=0.4] (4)--(1)--(6);\n\t\t\n\t\t\\draw (3) node[right] {3} -- (1) node[below right] {1} -- (4)--(5) node[above] {5}; \n\t\t\\draw (4) node[left] {4} -- (6) node[below] {6} -- (3); \\draw (1) -- (6);\n\t\t\\draw[] (5) -- (2) node[above right] {2};\n\t\t\\draw[dashed] (2) -- (6); \\draw[] (4) -- (2) -- (3);\n\t\t\n\t\t\\foreach \\i in {1,...,6} {\\fill (\\i) circle (1.8pt);}; \n\t\t\\end{tikzpicture}\n\n\\end{document}", "original_image": "original_14", "generated_samples": [ "\\documentclass[a4paper,oneside]{amsart}\n\\usepackage{tikz}\n\\usepackage{amssymb}\n\\usepackage{amsmath, mathtools}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture} [scale=1.5, inner sep=2mm]\n\t\t\\coordinate (4) at (0,0);\n\t\t\\coordinate (1) at (1,0);\n\t\t\\coordinate (2) at (0.6,0.5);\n\t\t\\coordinate (3) at (1.55,0.5);\n\t\t\\coordinate (5) at (0.8,1.5);\n\t\t\\coordinate (6) at (0.8,-1.2);\n\t\t\n\t\t% 2-simplices\n\t\t\\fill[black!6, fill opacity=0.4] (5)--(4)--(6)--(3)--(2)--(5);\n\t\t\\draw (2)--(0.65,0);\n\t\t\\fill[cyan!50, fill opacity=0.4] (4)--(1)--(6);\n\t\t\n\t\t\\draw (3) node[right] {3} -- (1) node[below right] {1} -- (4)--(5) node[above] {5}; \n\t\t\\draw (4) node[left] {4} -- (6) node[below] {6} -- (3); \\draw (1) -- (6);\n\t\t\\draw[dotted] (2) -- (6); \\draw[] (4) -- (2) -- (3);\n\t\t\n\t\t\\foreach \\i in {1,...,6} {\\fill (\\i) circle (1.8pt);}; \n\t\t\\end{tikzpicture}\n\n\\end{document}", "\\documentclass[a4paper,oneside]{amsart}\n\\usepackage{tikz}\n\\usepackage{amssymb}\n\\usepackage{amsmath, mathtools}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture} [scale=1.5, inner sep=2mm]\n\t\t\\coordinate (4) at (0,0);\n\t\t\\coordinate (1) at (1,0);\n\t\t\\coordinate (2) at (0.6,0.5);\n\t\t\\coordinate (3) at (1.55,0.5);\n\t\t\\coordinate (5) at (0.8,1.5);\n\t\t\\coordinate (6) at (0.8,-1.2);\n\t\t\n\t\t% 2-simplices\n\t\t\\fill[brown!4, fill opacity=0.4] (5)--(4)--(6)--(3)--(2)--(5);\n\t\t\\draw (2)--(0.73,0.05);\n\t\t\\fill[black!8, fill opacity=0.4] (4)--(1)--(6);\n\t\t\n\t\t\\draw (3) node[right] {3} -- (1) node[below right] {1} -- (4)--(5) node[above] {5}; \n\t\t\\draw (4) node[left] {4} -- (6) node[below] {6} -- (3); \\draw (1) -- (6);\n\t\t\\draw[] (5) -- (2) node[above right] {2};\n\t\t\\draw[dotted] (2) -- (6); \\draw[] (4) -- (2) -- (3);\n\t\t\n\t\t\\foreach \\i in {1,...,6} {\\fill (\\i) circle (1.8pt);}; \n\t\t\\end{tikzpicture}\n\n\\end{document}", "\\documentclass[a4paper,oneside]{amsart}\n\\usepackage{tikz}\n\\usepackage{amssymb}\n\\usepackage{amsmath, mathtools}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture} [scale=1.5, inner sep=2mm]\n\t\t\\coordinate (4) at (0,0);\n\t\t\\coordinate (1) at (1,0);\n\t\t\\coordinate (2) at (0.6,0.5);\n\t\t\\coordinate (3) at (1.55,0.5);\n\t\t\\coordinate (5) at (0.8,1.5);\n\t\t\\coordinate (6) at (0.8,-1.2);\n\t\t\n\t\t% 2-simplices\n\t\t\\fill[purple!3, fill opacity=0.4] (5)--(4)--(6)--(3)--(2)--(5);\n\t\t\\draw (2)--(0.65,0);\n\t\t\\fill[green!11, fill opacity=0.4] (4)--(1)--(6);\n\t\t\n\t\t\\draw (3) node[right] {3} -- (1) node[below right] {1} -- (4)--(5) node[above] {5}; \n\t\t\\draw (4) node[left] {4} -- (6) node[below] {6} -- (3); \\draw (1) -- (6);\n\t\t\\draw[] (5) -- (2) node[above right] {2};\n\t\t\\draw[dotted] (2) -- (6); \\draw[] (4) -- (2) -- (3);\n\t\t\n\t\t\\foreach \\i in {1,...,6} {\\fill (\\i) circle (1.8pt);}; \n\t\t\\end{tikzpicture}\n\n\\end{document}" ], "sample_images": [ "sample_14_0", "sample_14_1", "sample_14_2" ] }, { "tikz_code": "\\documentclass[a4paper,oneside]{amsart}\n\\usepackage{tikz}\n\\usepackage{amssymb}\n\\usepackage{amsmath, mathtools}\n\n\\begin{document}\n\n\\begin{tikzpicture} [scale=0.8, inner sep=2mm]\n\t\t\\coordinate (3) at (0, 0.6);\n\t\t\\coordinate (4) at (0, -0.6);\n\t\t\\coordinate (5) at (1.44, 0);\n\t\t\\coordinate (6) at (3, 0) ;\n\t\t\\coordinate (1) at (2, 2);\n\t\t\\coordinate (2) at (2, -2);\n\t\t\n\t\t\\draw (5)--(3) node[left] {3} -- (4) node[left] {4}-- (5) node[below] {5}--(2);\n\t\t\\draw (6) node[left] {6} -- (2) node[right] {2}-- (4) --(3) --(1);\n\t\t\\draw[dashed] (3)--(2);\n\t\t\\draw[dotted] (4)--(1)--(5); \\draw[dotted] (1)node[right] {1}--(6);\n\t\t\\foreach \\i in {1,...,6} {\\fill (\\i) circle (3.5pt);}; \n\t\t\\end{tikzpicture}\n\n\\end{document}", "original_image": "original_15", "generated_samples": [ "\\documentclass[a4paper,oneside]{amsart}\n\\usepackage{tikz}\n\\usepackage{amssymb}\n\\usepackage{amsmath, mathtools}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture} [scale=0.8, inner sep=2mm]\n\t\t\\coordinate (3) at (0, 0.6);\n\t\t\\coordinate (4) at (0, -0.6);\n\t\t\\coordinate (5) at (1.44, 0);\n\t\t\\coordinate (6) at (3, 0) ;\n\t\t\\coordinate (1) at (2, 2);\n\t\t\\coordinate (2) at (2, -2);\n\t\t\n\t\t\\draw (5)--(3) node[left] {3} -- (4) node[left] {4}-- (5) node[below] {5}--(2);\n\t\t\\draw (6) node[left] {6} -- (2) node[right] {2}-- (4) --(3) --(1);\n\t\t\\draw[dotted] (3)--(2);\n\t\t\\draw[dashed] (4)--(1)--(5); \\draw[dashed] (1)node[right] {1}--(6);\n\t\t\\foreach \\i in {1,...,6} {\\fill (\\i) circle (3.5pt);}; \n\t\t\\end{tikzpicture}\n\n\\end{document}", "\\documentclass[a4paper,oneside]{amsart}\n\\usepackage{tikz}\n\\usepackage{amssymb}\n\\usepackage{amsmath, mathtools}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture} [scale=0.8, inner sep=2mm]\n\t\t\\coordinate (3) at (0, 0.6);\n\t\t\\coordinate (4) at (0, -0.6);\n\t\t\\coordinate (5) at (1.44, 0);\n\t\t\\coordinate (6) at (3, 0) ;\n\t\t\\coordinate (1) at (2, 2);\n\t\t\\coordinate (2) at (2, -2);\n\t\t\n\t\t\\draw (5)--(3) node[left] {3} -- (4) node[left] {4}-- (5) node[below] {5}--(2);\n\t\t\\draw (6) node[left] {6} -- (2) node[right] {2}-- (4) --(3) --(1);\n\t\t\\draw[dotted] (3)--(2);\n\t\t\\draw[dashed] (4)--(1)--(5); \\draw[dashed] (1)node[right] {1}--(6);\n\t\t\\foreach \\i in {1,...,6} {\\fill (\\i) circle (3.5pt);}; \n\t\t\\end{tikzpicture}\n\n\\end{document}", "\\documentclass[a4paper,oneside]{amsart}\n\\usepackage{tikz}\n\\usepackage{amssymb}\n\\usepackage{amsmath, mathtools}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture} [scale=0.8, inner sep=2mm]\n\t\t\\coordinate (3) at (0, 0.6);\n\t\t\\coordinate (4) at (0, -0.6);\n\t\t\\coordinate (5) at (1.44, 0);\n\t\t\\coordinate (6) at (3, 0) ;\n\t\t\\coordinate (1) at (2, 2);\n\t\t\\coordinate (2) at (2, -2);\n\t\t\n\t\t\\draw (5)--(3) node[left] {3} -- (4) node[left] {4}-- (5) node[below] {5}--(2);\n\t\t\\draw (6) node[left] {6} -- (2) node[right] {2}-- (4) --(3) --(1);\n\t\t\\foreach \\i in {1,...,6} {\\fill (\\i) circle (3.5pt);}; \n\t\t\\end{tikzpicture}\n\n\\end{document}" ], "sample_images": [ "sample_15_0", "sample_15_1", "sample_15_2" ] }, { "tikz_code": "\\documentclass[a4paper,oneside]{amsart}\n\\usepackage{tikz}\n\\usepackage{amssymb}\n\\usepackage{amsmath, mathtools}\n\n\\begin{document}\n\n\\begin{tikzpicture} [scale=0.8, inner sep=2mm]\n\t\t\\coordinate (3) at (0, 1);\n\t\t\\coordinate (4) at (0, -1);\n\t\t\\coordinate (5) at (1.44, 0);\n\t\t\\coordinate (6) at (3, 0) ;\n\t\t\n\t\t\\draw (3) node[left] {3} -- (4) node[left] {4}-- (5) node[below] {5} -- (3);\n\t\t\\draw (6) node[left] {6};\n\t\t\\foreach \\i in {3,...,6} {\\fill (\\i) circle (3.5pt);}; \n\t\t\\end{tikzpicture}\n\n\\end{document}", "original_image": "original_16", "generated_samples": [ "\\documentclass[a4paper,oneside]{amsart}\n\\usepackage{tikz}\n\\usepackage{amssymb}\n\\usepackage{amsmath, mathtools}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture} [scale=0.8, inner sep=2mm]\n\t\t\\coordinate (3) at (0, 1);\n\t\t\\coordinate (4) at (0, -1);\n\t\t\\coordinate (5) at (1.44, 0);\n\t\t\\coordinate (6) at (3, 0) ;\n\t\t\n\t\t\\draw (3) node[left] {3} -- (4) node[left] {4}-- (5) node[below] {5} -- (3);\n\t\t\\draw (6) node[left] {6};\n\t\t\\foreach \\i in {3,...,6} {\\fill (\\i) circle (3.5pt);}; \n\t\t\\end{tikzpicture}\n\n\\end{document}", "\\documentclass[a4paper,oneside]{amsart}\n\\usepackage{tikz}\n\\usepackage{amssymb}\n\\usepackage{amsmath, mathtools}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture} [scale=0.8, inner sep=2mm]\n\t\t\\coordinate (3) at (0, 1);\n\t\t\\coordinate (4) at (0, -1);\n\t\t\\coordinate (5) at (1.44, 0);\n\t\t\\coordinate (6) at (3, 0) ;\n\t\t\n\t\t\\draw (3) node[left] {3} -- (4) node[left] {4}-- (5) node[below] {5} -- (3);\n\t\t\\draw (6) node[left] {6};\n\t\t\\foreach \\i in {3,...,6} {\\fill (\\i) circle (3.5pt);}; \n\t\t\\end{tikzpicture}\n\n\\end{document}", "\\documentclass[a4paper,oneside]{amsart}\n\\usepackage{tikz}\n\\usepackage{amssymb}\n\\usepackage{amsmath, mathtools}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture} [scale=0.8, inner sep=2mm]\n\t\t\\coordinate (3) at (0, 1);\n\t\t\\coordinate (4) at (0, -1);\n\t\t\\coordinate (5) at (1.44, 0);\n\t\t\\coordinate (6) at (3, 0) ;\n\t\t\n\t\t\\draw (3) node[left] {3} -- (4) node[left] {4}-- (5) node[below] {5} -- (3);\n\t\t\\foreach \\i in {3,...,6} {\\fill (\\i) circle (3.5pt);}; \n\t\t\\end{tikzpicture}\n\n\\end{document}" ], "sample_images": [ "sample_16_0", "sample_16_1", "sample_16_2" ] }, { "tikz_code": "\\documentclass[a4paper,oneside]{amsart}\n\\usepackage{tikz}\n\\usepackage{amssymb}\n\\usepackage{amsmath, mathtools}\n\n\\begin{document}\n\n\\begin{tikzpicture} [scale=0.8, inner sep=2mm]\n\t\t\\coordinate (3) at (0, 0.6);\n\t\t\\coordinate (4) at (0, -0.6);\n\t\t\\coordinate (5) at (1.44, 0);\n\t\t\\coordinate (6) at (3, 0) ;\n\t\t\\coordinate (1) at (2, 2);\n\t\t\\coordinate (2) at (2, -2);\n\t\t\n\t\t\\draw (3) node[left] {3} -- (4) node[left] {4}-- (5) node[below] {5} -- (1) --(3);\n\t\t\\draw (2) node[right] {8}; \\draw (6) node[left] {6} -- (1)--(3);\\draw (4)--(1) node[right] {7}--(6)--(2);\n\t\t\\draw[dashed] (5)--(3);\n\t\t\\draw[dotted] (5)--(2)--(4); \\draw[loosely dotted] (3)--(2);\n\t\t\\foreach \\i in {1,...,6} {\\fill (\\i) circle (3.5pt);}; \n\t\t\\end{tikzpicture}\n\n\\end{document}", "original_image": "original_17", "generated_samples": [ "\\documentclass[a4paper,oneside]{amsart}\n\\usepackage{tikz}\n\\usepackage{amssymb}\n\\usepackage{amsmath, mathtools}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture} [scale=0.8, inner sep=2mm]\n\t\t\\coordinate (3) at (0, 0.6);\n\t\t\\coordinate (4) at (0, -0.6);\n\t\t\\coordinate (5) at (1.44, 0);\n\t\t\\coordinate (6) at (3, 0) ;\n\t\t\\coordinate (1) at (2, 2);\n\t\t\\coordinate (2) at (2, -2);\n\t\t\n\t\t\\draw (2) node[right] {8}; \\draw (6) node[left] {6} -- (1)--(3);\\draw (4)--(1) node[right] {7}--(6)--(2);\n\t\t\\draw[dashed] (5)--(2)--(4); \\draw[loosely dashed] (3)--(2);\n\t\t\\foreach \\i in {1,...,6} {\\fill (\\i) circle (3.5pt);}; \n\t\t\\end{tikzpicture}\n\n\\end{document}", "\\documentclass[a4paper,oneside]{amsart}\n\\usepackage{tikz}\n\\usepackage{amssymb}\n\\usepackage{amsmath, mathtools}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture} [scale=0.8, inner sep=2mm]\n\t\t\\coordinate (3) at (0, 0.6);\n\t\t\\coordinate (4) at (0, -0.6);\n\t\t\\coordinate (5) at (1.44, 0);\n\t\t\\coordinate (6) at (3, 0) ;\n\t\t\\coordinate (1) at (2, 2);\n\t\t\\coordinate (2) at (2, -2);\n\t\t\n\t\t\\foreach \\i in {1,...,6} {\\fill (\\i) circle (3.5pt);}; \n\t\t\\end{tikzpicture}\n\n\\end{document}", "\\documentclass[a4paper,oneside]{amsart}\n\\usepackage{tikz}\n\\usepackage{amssymb}\n\\usepackage{amsmath, mathtools}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture} [scale=0.8, inner sep=2mm]\n\t\t\\coordinate (3) at (0, 0.6);\n\t\t\\coordinate (4) at (0, -0.6);\n\t\t\\coordinate (5) at (1.44, 0);\n\t\t\\coordinate (6) at (3, 0) ;\n\t\t\\coordinate (1) at (2, 2);\n\t\t\\coordinate (2) at (2, -2);\n\t\t\n\t\t\\draw (3) node[left] {3} -- (4) node[left] {4}-- (5) node[below] {5} -- (1) --(3);\n\t\t\\draw (2) node[right] {8}; \\draw (6) node[left] {6} -- (1)--(3);\\draw (4)--(1) node[right] {7}--(6)--(2);\n\t\t\\draw[dashed] (5)--(2)--(4); \\draw[loosely dashed] (3)--(2);\n\t\t\\foreach \\i in {1,...,6} {\\fill (\\i) circle (3.5pt);}; \n\t\t\\end{tikzpicture}\n\n\\end{document}" ], "sample_images": [ "sample_17_0", "sample_17_1", "sample_17_2" ] }, { "tikz_code": "\\documentclass[a4paper,oneside]{amsart}\n\\usepackage{tikz}\n\\usepackage{amssymb}\n\\usepackage{amsmath, mathtools}\n\n\\begin{document}\n\n\\begin{tikzpicture}[scale=1.6, inner sep=2mm]\n\t\t\t\\foreach \\i in {1, 2, ..., 5, 1.7, 2.3, 6, 6.5, 7, 8, 9}\n\t\t\t\\fill (\\i*360/9:1) coordinate (\\i) circle(1.5 pt);\n\t\t\t\n\t\t\t\\fill (1.4,0.5) coordinate (a) circle(1.5 pt);\n\t\t\t\n\t\t\t\\fill[lightgray, fill opacity=0.4](1) --(a)--(9) --(1);\n\t\t\t\\draw[very thick] (3) -- (4) --(5); \n\t\t\t\\draw[very thick] (8)--(9) --(1)--(1.7);\n\t\t\t\\draw[dashed] (1) --(a)--(9);\n\t\t\t\n\t\t\t%Labels\n\t\t\t\\coordinate (s) at (-0.7,0.7);\n\t\t\t\\draw (s) node[left ] {$s$};\n\t\t\t\n\t\t\t\\coordinate (A) at (0.85, 0.4);\n\t\t\t\\draw (A) node[right ] {$A$};\n\t\t\t\n\t\t\t\\coordinate (t) at (0.9, 0.3);\n\t\t\t\\draw (t) node[left ] {$\\tau$};\n\t\t\t\n\t\t\t\\end{tikzpicture}\n\n\\end{document}", "original_image": "original_18", "generated_samples": [ "\\documentclass[a4paper,oneside]{amsart}\n\\usepackage{tikz}\n\\usepackage{amssymb}\n\\usepackage{amsmath, mathtools}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}[scale=1.6, inner sep=2mm]\n\t\t\t\\foreach \\i in {1, 2, ..., 5, 1.7, 2.3, 6, 6.5, 7, 8, 9}\n\t\t\t\\fill (\\i*360/9:1) coordinate (\\i) circle(1.5 pt);\n\t\t\t\n\t\t\t\\fill (1.4,0.5) coordinate (a) circle(1.5 pt);\n\t\t\t\n\t\t\t\\fill[orange!80, fill opacity=0.4](1) --(a)--(9) --(1);\n\t\t\t\\draw[thin] (3) -- (4) --(5); \n\t\t\t\\draw[thick] (8)--(9) --(1)--(1.7);\n\t\t\t\\draw[dotted] (1) --(a)--(9);\n\t\t\t\n\t\t\t%Labels\n\t\t\t\\coordinate (s) at (-0.7,0.7);\n\t\t\t\\draw (s) node[left ] {$s$};\n\t\t\t\n\t\t\t\\coordinate (A) at (0.85, 0.4);\n\t\t\t\\draw (A) node[right ] {$A$};\n\t\t\t\n\t\t\t\\coordinate (t) at (0.9, 0.3);\n\t\t\t\\draw (t) node[left ] {$\\tau$};\n\t\t\t\n\t\t\t\\end{tikzpicture}\n\n\\end{document}", "\\documentclass[a4paper,oneside]{amsart}\n\\usepackage{tikz}\n\\usepackage{amssymb}\n\\usepackage{amsmath, mathtools}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}[scale=1.6, inner sep=2mm]\n\t\t\t\\foreach \\i in {1, 2, ..., 5, 1.7, 2.3, 6, 6.5, 7, 8, 9}\n\t\t\t\\fill (\\i*360/9:1) coordinate (\\i) circle(1.5 pt);\n\t\t\t\n\t\t\t\\fill (1.4,0.5) coordinate (a) circle(1.5 pt);\n\t\t\t\n\t\t\t\\fill[purple!49, fill opacity=0.4](1) --(a)--(9) --(1);\n\t\t\t\\draw[thick] (3) -- (4) --(5); \n\t\t\t\\draw[thick] (8)--(9) --(1)--(1.7);\n\t\t\t\n\t\t\t%Labels\n\t\t\t\\coordinate (s) at (-0.7,0.7);\n\t\t\t\\draw (s) node[left ] {$s$};\n\t\t\t\n\t\t\t\\coordinate (A) at (0.85, 0.4);\n\t\t\t\\draw (A) node[right ] {$A$};\n\t\t\t\n\t\t\t\\coordinate (t) at (0.9, 0.3);\n\t\t\t\\draw (t) node[left ] {$\\tau$};\n\t\t\t\n\t\t\t\\end{tikzpicture}\n\n\\end{document}", "\\documentclass[a4paper,oneside]{amsart}\n\\usepackage{tikz}\n\\usepackage{amssymb}\n\\usepackage{amsmath, mathtools}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}[scale=1.6, inner sep=2mm]\n\t\t\t\\foreach \\i in {1, 2, ..., 5, 1.7, 2.3, 6, 6.5, 7, 8, 9}\n\t\t\t\\fill (\\i*360/9:1) coordinate (\\i) circle(1.5 pt);\n\t\t\t\n\t\t\t\\fill (1.4,0.5) coordinate (a) circle(1.5 pt);\n\t\t\t\n\t\t\t\\fill[orange!43, fill opacity=0.4](1) --(a)--(9) --(1);\n\t\t\t\\draw[thin] (3) -- (4) --(5); \n\t\t\t\\draw[thin] (8)--(9) --(1)--(1.7);\n\t\t\t\\draw[dotted] (1) --(a)--(9);\n\t\t\t\n\t\t\t%Labels\n\t\t\t\\coordinate (s) at (-0.7,0.7);\n\t\t\t\n\t\t\t\\coordinate (A) at (0.85, 0.4);\n\t\t\t\n\t\t\t\\coordinate (t) at (0.9, 0.3);\n\t\t\t\\draw (t) node[left ] {$\\tau$};\n\t\t\t\n\t\t\t\\end{tikzpicture}\n\n\\end{document}" ], "sample_images": [ "sample_18_0", "sample_18_1", "sample_18_2" ] }, { "tikz_code": "\\documentclass[a4paper,oneside]{amsart}\n\\usepackage{tikz}\n\\usepackage{amssymb}\n\\usepackage{amsmath, mathtools}\n\n\\begin{document}\n\n\\begin{tikzpicture}[scale=2, inner sep=2mm]\n\t\t\\coordinate (5) at (0,0);\n\t\t\\coordinate (3) at (1,0); \n\t\t\\coordinate (6) at (2, 0);\n\t\t\\coordinate (2) at (0.5, -0.7);\n\t\t\\coordinate (1) at (1.5, -0.7);\n\t\t\\coordinate (7) at (2.2, -1.1);\n\t\t\\coordinate (4) at (1.1, -1.4);\n\t\t\n\t\t\\coordinate (b1) at (0, 0.6);\n\t\t\\coordinate (b2) at (0.3, 1.05);\n\t\t\\coordinate (b3) at (0.7, 1.23);\n\t\t\\coordinate (b4) at (1, 1.3);\n\t\t\\coordinate (b5) at (1.3, 1.23);\n\t\t\\coordinate (b6) at (1.7, 1.05);\n\t\t\\coordinate (b7) at (2, 0.6);\n\t\t\n\t\t\\coordinate (01) at (0.6, -1.6);\n\t\t\\coordinate (02) at (0.1, -1.5);\n\t\t\\coordinate (03) at (-0.2, -1.3);\n\t\t\\coordinate\t(04) at (-0.3, -1.2);\n\t\t\\coordinate (05) at (-0.35, -1.07);\n\t\t\\coordinate (06) at (-0.4, -0.7);\n\t\t\\coordinate (07) at (-0.3, -0.3);\n\t\t\n\t\t\n\t\t% Fill to make it a 2-complex\n\t\t\\fill[lightgray, fill opacity=0.4] (5) -- (b1)-- (b2) --(b3)--(b4)--(b5) --(b6)--(b7)--(6)--(7)-- (4)--(01)--(02)--(03)--(04)--(05)--(06)--(07)--(5);\n\t\t\n\t\t% Draw the 1-simplices\n\t\t\\draw[thick] (5) -- (3) -- (6); \\draw[thick] (5) -- (2) -- (3); \\draw[thick] (2) -- (4) -- (7);\n\t\t\\draw[thick] (5) -- (b1) -- (3)--(b2); \\draw[thick] (6) -- (b7)--(3)--(b6);\n\t\t\n\t\t\\draw[dashed] (2) -- (1) -- (3); \\draw[dashed] (6) -- (1) -- (7); \\draw[dashed] (1) -- (4)--(01)--(2)--(02)--(01); \\draw[dashed] (5) -- (07) -- (2) -- (06) -- (07);\n\t\t\n\t\t\\draw[magenta, very thick] (b1)--(b2); \\draw[magenta, very thick] (b6)--(b7);\n\t\t\\draw[green, very thick] (6)--(7);\n\t\t\n\t\t% Draw all of the vertices\n\t\t\\foreach \\i in {2, ..., 7} {\\fill (\\i) circle (2pt);}\n\t\t\\foreach \\i in {1, ..., 7} {\\fill (b\\i) circle (2pt);}\n\t\t\\foreach \\i in {1, ..., 7} {\\fill[magenta] (b\\i) circle (1.7pt);} \\filldraw[magenta](2) circle (1.7pt);\n\t\t\\fill[cyan] (3) circle (1.7pt); \\fill[cyan] (4) circle (1.7pt);\n\t\t\\fill[green] (5) circle (1.7pt); \\filldraw[green] (6) circle (1.7pt); \\fill[green] (7) circle (1.7pt);\n\t\t\n\t\t\\fill (1) circle (0.7pt);\n\t\t\\foreach \\i in {1, ..., 7} {\\fill (0\\i) circle (0.7pt);}\n\t\t\n\t\t% Label the vertices\n\t\t\\draw (2)node[right] {$2$};\\draw (3)node[below] {$3$};\\draw (4)node[below] {$4$};\\draw (5)node[left] {$5$};\\draw (6)node[right] {$6$};\\draw (7)node[below right] {$7$};\n\t\t\\draw (b1) node[left] {$b_0$};\\draw (b2) node[left] {$b_1$};\\draw (b6) node[right] {$b_{n-1}$};\\draw (b7) node[right] {$b_n$};\n\t\t\n\t\t\\end{tikzpicture}\n\n\\end{document}", "original_image": "original_19", "generated_samples": [ "\\documentclass[a4paper,oneside]{amsart}\n\\usepackage{tikz}\n\\usepackage{amssymb}\n\\usepackage{amsmath, mathtools}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}[scale=2, inner sep=2mm]\n\t\t\\coordinate (5) at (0,0);\n\t\t\\coordinate (3) at (1,0); \n\t\t\\coordinate (6) at (2, 0);\n\t\t\\coordinate (2) at (0.5, -0.7);\n\t\t\\coordinate (1) at (1.5, -0.7);\n\t\t\\coordinate (7) at (2.2, -1.1);\n\t\t\\coordinate (4) at (1.1, -1.4);\n\t\t\n\t\t\\coordinate (b1) at (0, 0.6);\n\t\t\\coordinate (b2) at (0.3, 1.05);\n\t\t\\coordinate (b3) at (0.7, 1.23);\n\t\t\\coordinate (b4) at (1, 1.3);\n\t\t\\coordinate (b5) at (1.3, 1.23);\n\t\t\\coordinate (b6) at (1.7, 1.05);\n\t\t\\coordinate (b7) at (2, 0.6);\n\t\t\n\t\t\\coordinate (01) at (0.6, -1.6);\n\t\t\\coordinate (02) at (0.1, -1.5);\n\t\t\\coordinate (03) at (-0.2, -1.3);\n\t\t\\coordinate\t(04) at (-0.3, -1.2);\n\t\t\\coordinate (05) at (-0.35, -1.07);\n\t\t\\coordinate (06) at (-0.4, -0.7);\n\t\t\\coordinate (07) at (-0.3, -0.3);\n\t\t\n\t\t\n\t\t% Fill to make it a 2-complex\n\t\t\\fill[green!7, fill opacity=0.4] (5) -- (b1)-- (b2) --(b3)--(b4)--(b5) --(b6)--(b7)--(6)--(7)-- (4)--(01)--(02)--(03)--(04)--(05)--(06)--(07)--(5);\n\t\t\n\t\t% Draw the 1-simplices\n\t\t\\draw[thick] (5) -- (3) -- (6); \\draw[thin] (5) -- (2) -- (3); \\draw[thick] (2) -- (4) -- (7);\n\t\t\\draw[thin] (5) -- (b1) -- (3)--(b2); \\draw[thick] (6) -- (b7)--(3)--(b6);\n\t\t\n\t\t\n\t\t\\draw[orange, thick] (b1)--(b2); \\draw[blue, thick] (b6)--(b7);\n\t\t\\draw[black, thin] (6)--(7);\n\t\t\n\t\t% Draw all of the vertices\n\t\t\\foreach \\i in {2, ..., 7} {\\fill (\\i) circle (2pt);}\n\t\t\\foreach \\i in {1, ..., 7} {\\fill (b\\i) circle (2pt);}\n\t\t\\foreach \\i in {1, ..., 7} {\\fill[orange!94] (b\\i) circle (1.7pt);} \\filldraw[red](2) circle (1.7pt);\n\t\t\\fill[black!33] (3) circle (1.7pt); \\fill[red!15] (4) circle (1.7pt);\n\t\t\\fill[blue!51] (5) circle (1.7pt); \\filldraw[yellow] (6) circle (1.7pt); \\fill[yellow!66] (7) circle (1.7pt);\n\t\t\n\t\t\\fill (1) circle (0.7pt);\n\t\t\\foreach \\i in {1, ..., 7} {\\fill (0\\i) circle (0.7pt);}\n\t\t\n\t\t% Label the vertices\n\t\t\\draw (2)node[right] {$2$};\\draw (3)node[below] {$3$};\\draw (4)node[below] {$4$};\\draw (5)node[left] {$5$};\\draw (6)node[right] {$6$};\\draw (7)node[below right] {$7$};\n\t\t\\draw (b1) node[left] {$b_0$};\\draw (b2) node[left] {$b_1$};\\draw (b6) node[right] {$b_{n-1}$};\\draw (b7) node[right] {$b_n$};\n\t\t\n\t\t\\end{tikzpicture}\n\n\\end{document}", "\\documentclass[a4paper,oneside]{amsart}\n\\usepackage{tikz}\n\\usepackage{amssymb}\n\\usepackage{amsmath, mathtools}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}[scale=2, inner sep=2mm]\n\t\t\\coordinate (5) at (0,0);\n\t\t\\coordinate (3) at (1,0); \n\t\t\\coordinate (6) at (2, 0);\n\t\t\\coordinate (2) at (0.5, -0.7);\n\t\t\\coordinate (1) at (1.5, -0.7);\n\t\t\\coordinate (7) at (2.2, -1.1);\n\t\t\\coordinate (4) at (1.1, -1.4);\n\t\t\n\t\t\\coordinate (b1) at (0, 0.6);\n\t\t\\coordinate (b2) at (0.3, 1.05);\n\t\t\\coordinate (b3) at (0.7, 1.23);\n\t\t\\coordinate (b4) at (1, 1.3);\n\t\t\\coordinate (b5) at (1.3, 1.23);\n\t\t\\coordinate (b6) at (1.7, 1.05);\n\t\t\\coordinate (b7) at (2, 0.6);\n\t\t\n\t\t\\coordinate (01) at (0.6, -1.6);\n\t\t\\coordinate (02) at (0.1, -1.5);\n\t\t\\coordinate (03) at (-0.2, -1.3);\n\t\t\\coordinate\t(04) at (-0.3, -1.2);\n\t\t\\coordinate (05) at (-0.35, -1.07);\n\t\t\\coordinate (06) at (-0.4, -0.7);\n\t\t\\coordinate (07) at (-0.3, -0.3);\n\t\t\n\t\t\n\t\t% Fill to make it a 2-complex\n\t\t\\fill[green!80, fill opacity=0.4] (5) -- (b1)-- (b2) --(b3)--(b4)--(b5) --(b6)--(b7)--(6)--(7)-- (4)--(01)--(02)--(03)--(04)--(05)--(06)--(07)--(5);\n\t\t\n\t\t% Draw the 1-simplices\n\t\t\\draw[thick] (5) -- (3) -- (6); \\draw[thick] (5) -- (2) -- (3); \\draw[thick] (2) -- (4) -- (7);\n\t\t\\draw[thick] (5) -- (b1) -- (3)--(b2); \\draw[thin] (6) -- (b7)--(3)--(b6);\n\t\t\n\t\t\\draw[dotted] (2) -- (1) -- (3); \\draw[dotted] (6) -- (1) -- (7); \\draw[dotted] (1) -- (4)--(01)--(2)--(02)--(01); \\draw[dotted] (5) -- (07) -- (2) -- (06) -- (07);\n\t\t\n\t\t\\draw[yellow, thick] (b1)--(b2); \\draw[brown, thick] (b6)--(b7);\n\t\t\\draw[red, thick] (6)--(7);\n\t\t\n\t\t% Draw all of the vertices\n\t\t\\foreach \\i in {2, ..., 7} {\\fill (\\i) circle (2pt);}\n\t\t\\foreach \\i in {1, ..., 7} {\\fill (b\\i) circle (2pt);}\n\t\t\\foreach \\i in {1, ..., 7} {\\fill[brown!61] (b\\i) circle (1.7pt);} \\filldraw[orange](2) circle (1.7pt);\n\t\t\\fill[blue!43] (3) circle (1.7pt); \\fill[cyan!28] (4) circle (1.7pt);\n\t\t\\fill[green!60] (5) circle (1.7pt); \\filldraw[purple] (6) circle (1.7pt); \\fill[purple!3] (7) circle (1.7pt);\n\t\t\n\t\t\\fill (1) circle (0.7pt);\n\t\t\\foreach \\i in {1, ..., 7} {\\fill (0\\i) circle (0.7pt);}\n\t\t\n\t\t% Label the vertices\n\t\t\\draw (2)node[right] {$2$};\\draw (3)node[below] {$3$};\\draw (4)node[below] {$4$};\\draw (5)node[left] {$5$};\\draw (6)node[right] {$6$};\\draw (7)node[below right] {$7$};\n\t\t\n\t\t\\end{tikzpicture}\n\n\\end{document}", "\\documentclass[a4paper,oneside]{amsart}\n\\usepackage{tikz}\n\\usepackage{amssymb}\n\\usepackage{amsmath, mathtools}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}[scale=2, inner sep=2mm]\n\t\t\\coordinate (5) at (0,0);\n\t\t\\coordinate (3) at (1,0); \n\t\t\\coordinate (6) at (2, 0);\n\t\t\\coordinate (2) at (0.5, -0.7);\n\t\t\\coordinate (1) at (1.5, -0.7);\n\t\t\\coordinate (7) at (2.2, -1.1);\n\t\t\\coordinate (4) at (1.1, -1.4);\n\t\t\n\t\t\\coordinate (b1) at (0, 0.6);\n\t\t\\coordinate (b2) at (0.3, 1.05);\n\t\t\\coordinate (b3) at (0.7, 1.23);\n\t\t\\coordinate (b4) at (1, 1.3);\n\t\t\\coordinate (b5) at (1.3, 1.23);\n\t\t\\coordinate (b6) at (1.7, 1.05);\n\t\t\\coordinate (b7) at (2, 0.6);\n\t\t\n\t\t\\coordinate (01) at (0.6, -1.6);\n\t\t\\coordinate (02) at (0.1, -1.5);\n\t\t\\coordinate (03) at (-0.2, -1.3);\n\t\t\\coordinate\t(04) at (-0.3, -1.2);\n\t\t\\coordinate (05) at (-0.35, -1.07);\n\t\t\\coordinate (06) at (-0.4, -0.7);\n\t\t\\coordinate (07) at (-0.3, -0.3);\n\t\t\n\t\t\n\t\t% Fill to make it a 2-complex\n\t\t\\fill[blue!65, fill opacity=0.4] (5) -- (b1)-- (b2) --(b3)--(b4)--(b5) --(b6)--(b7)--(6)--(7)-- (4)--(01)--(02)--(03)--(04)--(05)--(06)--(07)--(5);\n\t\t\n\t\t% Draw the 1-simplices\n\t\t\\draw[thick] (5) -- (3) -- (6); \\draw[thin] (5) -- (2) -- (3); \\draw[thin] (2) -- (4) -- (7);\n\t\t\n\t\t\\draw[dotted] (2) -- (1) -- (3); \\draw[dotted] (6) -- (1) -- (7); \\draw[dotted] (1) -- (4)--(01)--(2)--(02)--(01); \\draw[dotted] (5) -- (07) -- (2) -- (06) -- (07);\n\t\t\n\t\t\\draw[cyan, thick] (6)--(7);\n\t\t\n\t\t% Draw all of the vertices\n\t\t\\foreach \\i in {2, ..., 7} {\\fill (\\i) circle (2pt);}\n\t\t\\foreach \\i in {1, ..., 7} {\\fill (b\\i) circle (2pt);}\n\t\t\\foreach \\i in {1, ..., 7} {\\fill[red!16] (b\\i) circle (1.7pt);} \\filldraw[purple](2) circle (1.7pt);\n\t\t\\fill[red!35] (3) circle (1.7pt); \\fill[red!61] (4) circle (1.7pt);\n\t\t\\fill[red!20] (5) circle (1.7pt); \\filldraw[yellow] (6) circle (1.7pt); \\fill[black!56] (7) circle (1.7pt);\n\t\t\n\t\t\\fill (1) circle (0.7pt);\n\t\t\\foreach \\i in {1, ..., 7} {\\fill (0\\i) circle (0.7pt);}\n\t\t\n\t\t% Label the vertices\n\t\t\\draw (2)node[right] {$2$};\\draw (3)node[below] {$3$};\\draw (4)node[below] {$4$};\\draw (5)node[left] {$5$};\\draw (6)node[right] {$6$};\\draw (7)node[below right] {$7$};\n\t\t\\draw (b1) node[left] {$b_0$};\\draw (b2) node[left] {$b_1$};\\draw (b6) node[right] {$b_{n-1}$};\\draw (b7) node[right] {$b_n$};\n\t\t\n\t\t\\end{tikzpicture}\n\n\\end{document}" ], "sample_images": [ "sample_19_0", "sample_19_1", "sample_19_2" ] }, { "tikz_code": "\\documentclass[a4paper,oneside]{amsart}\n\\usepackage{tikz}\n\\usepackage{amssymb}\n\\usepackage{amsmath, mathtools}\n\n\\begin{document}\n\n\\begin{tikzpicture} [scale=1.5, inner sep=2mm]\n\t\t\t\\coordinate (1) at (1.2,0);\n\t\t\t\\coordinate (2) at (0.6,0.5);\n\t\t\t\\coordinate (3) at (1.55,0.5);\n\t\t\t\\coordinate (4) at (0,0);\n\t\t\t\\coordinate (5) at (0.8,1.5);\n\t\t\t\\coordinate (6) at (0.8,-1.2);\n\t\t\t\\coordinate (bottom) at (0.5, -1.5);\n\t\t\t\\coordinate (top) at(0.8, 1.9);\n\t\t\t\n\t\t\t\\draw[white] (top)--(bottom);\t\n\t\t\t\\fill[lightgray, fill opacity=0.4] (3)--(5)--(4)--(6)--(2)--(3);\n\t\t\t\\draw[dashed] (3) -- (2) -- (5);\\draw[dashed] (4) -- (2) -- (6);\n\t\t\t\\fill[lightgray, fill opacity=0.4] (1)--(5)--(3);\n\t\t\t\n\t\t\t\\draw[dashed] (1) -- (3) -- (5) -- (4) -- (6) -- (1)--(5); \n\t\t\t\\draw[dashed] (2) -- (3);\n\t\t\t\n\t\t\t\\foreach \\i in {1,...,6} {\\fill (\\i) circle (1pt);}; \n\t\t\t\n\t\t\t\\draw[thick] (6) node[below] {$\\sigma_3'$}--(1) node[below right] {$\\sigma_1$} -- (3) node[right] {$\\sigma_2$} -- (2) node[below right, inner sep=1.4mm] {$\\sigma_1'$} -- (6); \n\t\t\t\n\t\t\t\\node at (1.15,-0.6){$s$};\n\t\t\t\n\t\t\t\\foreach \\i in {1,...,3, 6} {\\fill (\\i) circle (1.8pt);}; \n\t\t\t\\end{tikzpicture}\n\n\\end{document}", "original_image": "original_20", "generated_samples": [ "\\documentclass[a4paper,oneside]{amsart}\n\\usepackage{tikz}\n\\usepackage{amssymb}\n\\usepackage{amsmath, mathtools}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture} [scale=1.5, inner sep=2mm]\n\t\t\t\\coordinate (1) at (1.2,0);\n\t\t\t\\coordinate (2) at (0.6,0.5);\n\t\t\t\\coordinate (3) at (1.55,0.5);\n\t\t\t\\coordinate (4) at (0,0);\n\t\t\t\\coordinate (5) at (0.8,1.5);\n\t\t\t\\coordinate (6) at (0.8,-1.2);\n\t\t\t\\coordinate (bottom) at (0.5, -1.5);\n\t\t\t\\coordinate (top) at(0.8, 1.9);\n\t\t\t\n\t\t\t\\draw[white] (top)--(bottom);\t\n\t\t\t\\fill[green!5, fill opacity=0.4] (3)--(5)--(4)--(6)--(2)--(3);\n\t\t\t\\fill[brown!12, fill opacity=0.4] (1)--(5)--(3);\n\t\t\t\n\t\t\t\\draw[dotted] (1) -- (3) -- (5) -- (4) -- (6) -- (1)--(5); \n\t\t\t\\draw[dotted] (2) -- (3);\n\t\t\t\n\t\t\t\\foreach \\i in {1,...,6} {\\fill (\\i) circle (1pt);}; \n\t\t\t\n\t\t\t\\draw[thin] (6) node[below] {$\\sigma_3'$}--(1) node[below right] {$\\sigma_1$} -- (3) node[right] {$\\sigma_2$} -- (2) node[below right, inner sep=1.4mm] {$\\sigma_1'$} -- (6); \n\t\t\t\n\t\t\t\\node at (1.15,-0.6){$s$};\n\t\t\t\n\t\t\t\\foreach \\i in {1,...,3, 6} {\\fill (\\i) circle (1.8pt);}; \n\t\t\t\\end{tikzpicture}\n\n\\end{document}", "\\documentclass[a4paper,oneside]{amsart}\n\\usepackage{tikz}\n\\usepackage{amssymb}\n\\usepackage{amsmath, mathtools}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture} [scale=1.5, inner sep=2mm]\n\t\t\t\\coordinate (1) at (1.2,0);\n\t\t\t\\coordinate (2) at (0.6,0.5);\n\t\t\t\\coordinate (3) at (1.55,0.5);\n\t\t\t\\coordinate (4) at (0,0);\n\t\t\t\\coordinate (5) at (0.8,1.5);\n\t\t\t\\coordinate (6) at (0.8,-1.2);\n\t\t\t\\coordinate (bottom) at (0.5, -1.5);\n\t\t\t\\coordinate (top) at(0.8, 1.9);\n\t\t\t\n\t\t\t\\draw[white] (top)--(bottom);\t\n\t\t\t\\fill[cyan!92, fill opacity=0.4] (3)--(5)--(4)--(6)--(2)--(3);\n\t\t\t\\draw[dotted] (3) -- (2) -- (5);\\draw[dotted] (4) -- (2) -- (6);\n\t\t\t\\fill[brown!44, fill opacity=0.4] (1)--(5)--(3);\n\t\t\t\n\t\t\t\\draw[dotted] (1) -- (3) -- (5) -- (4) -- (6) -- (1)--(5); \n\t\t\t\\draw[dotted] (2) -- (3);\n\t\t\t\n\t\t\t\\foreach \\i in {1,...,6} {\\fill (\\i) circle (1pt);}; \n\t\t\t\n\t\t\t\\draw[thin] (6) node[below] {$\\sigma_3'$}--(1) node[below right] {$\\sigma_1$} -- (3) node[right] {$\\sigma_2$} -- (2) node[below right, inner sep=1.4mm] {$\\sigma_1'$} -- (6); \n\t\t\t\n\t\t\t\\node at (1.15,-0.6){$s$};\n\t\t\t\n\t\t\t\\foreach \\i in {1,...,3, 6} {\\fill (\\i) circle (1.8pt);}; \n\t\t\t\\end{tikzpicture}\n\n\\end{document}", "\\documentclass[a4paper,oneside]{amsart}\n\\usepackage{tikz}\n\\usepackage{amssymb}\n\\usepackage{amsmath, mathtools}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture} [scale=1.5, inner sep=2mm]\n\t\t\t\\coordinate (1) at (1.2,0);\n\t\t\t\\coordinate (2) at (0.6,0.5);\n\t\t\t\\coordinate (3) at (1.55,0.5);\n\t\t\t\\coordinate (4) at (0,0);\n\t\t\t\\coordinate (5) at (0.8,1.5);\n\t\t\t\\coordinate (6) at (0.8,-1.2);\n\t\t\t\\coordinate (bottom) at (0.5, -1.5);\n\t\t\t\\coordinate (top) at(0.8, 1.9);\n\t\t\t\n\t\t\t\\draw[white] (top)--(bottom);\t\n\t\t\t\\fill[red!30, fill opacity=0.4] (3)--(5)--(4)--(6)--(2)--(3);\n\t\t\t\\draw[dotted] (3) -- (2) -- (5);\\draw[dotted] (4) -- (2) -- (6);\n\t\t\t\\fill[purple!25, fill opacity=0.4] (1)--(5)--(3);\n\t\t\t\n\t\t\t\n\t\t\t\\foreach \\i in {1,...,6} {\\fill (\\i) circle (1pt);}; \n\t\t\t\n\t\t\t\\draw[thick] (6) node[below] {$\\sigma_3'$}--(1) node[below right] {$\\sigma_1$} -- (3) node[right] {$\\sigma_2$} -- (2) node[below right, inner sep=1.4mm] {$\\sigma_1'$} -- (6); \n\t\t\t\n\t\t\t\\node at (1.15,-0.6){$s$};\n\t\t\t\n\t\t\t\\foreach \\i in {1,...,3, 6} {\\fill (\\i) circle (1.8pt);}; \n\t\t\t\\end{tikzpicture}\n\n\\end{document}" ], "sample_images": [ "sample_20_0", "sample_20_1", "sample_20_2" ] }, { "tikz_code": "\\documentclass[a4paper,oneside]{amsart}\n\\usepackage{tikz}\n\\usepackage{amssymb}\n\\usepackage{amsmath, mathtools}\n\n\\begin{document}\n\n\\begin{tikzpicture} [scale=1.5, inner sep=2mm]\n\t\t\t\\coordinate (4) at (0,0);\n\t\t\t\\coordinate (1) at (1.2,0);\n\t\t\t\\coordinate (2) at (0.6,0.5);\n\t\t\t\\coordinate (3) at (1.55,0.5);\n\t\t\t\\coordinate (5) at (0.8,1.5);\n\t\t\t\\coordinate (6) at (0.8,-1.2);\n\t\t\t\n\t\t\t\\fill[lightgray, fill opacity=0.4] (3)--(5)--(4)--(6)--(2)--(3);\n\t\t\t\\draw (1.1, 0.5) -- (2) -- (5);\\draw (4) -- (2) node[below right, inner sep=1.4mm] {$\\sigma_1'$}-- (6);\n\t\t\t\\fill[lightgray, fill opacity=0.4] (1)--(5)--(3);\n\t\t\t\n\t\t\t\\draw (1) node[below right] {$\\sigma_1$} -- (3) node[right] {$\\sigma_2$} -- (5) node[above] {$\\sigma_3$} -- (4) node[left] {$\\sigma_2'$} -- (6) node[below] {$\\sigma_3'$} -- (1)--(5); \n\t\t\t\\draw[dashed] (2) -- (3);\n\t\t\t\n\t\t\t\\foreach \\i in {1,...,6} {\\fill (\\i) circle (1.8pt);}; \n\t\t\t\\end{tikzpicture}\n\n\\end{document}", "original_image": "original_21", "generated_samples": [ "\\documentclass[a4paper,oneside]{amsart}\n\\usepackage{tikz}\n\\usepackage{amssymb}\n\\usepackage{amsmath, mathtools}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture} [scale=1.5, inner sep=2mm]\n\t\t\t\\coordinate (4) at (0,0);\n\t\t\t\\coordinate (1) at (1.2,0);\n\t\t\t\\coordinate (2) at (0.6,0.5);\n\t\t\t\\coordinate (3) at (1.55,0.5);\n\t\t\t\\coordinate (5) at (0.8,1.5);\n\t\t\t\\coordinate (6) at (0.8,-1.2);\n\t\t\t\n\t\t\t\\fill[black!42, fill opacity=0.4] (3)--(5)--(4)--(6)--(2)--(3);\n\t\t\t\\draw (1.1, 0.5) -- (2) -- (5);\\draw (4) -- (2) node[below right, inner sep=1.4mm] {$\\sigma_1'$}-- (6);\n\t\t\t\\fill[purple!27, fill opacity=0.4] (1)--(5)--(3);\n\t\t\t\n\t\t\t\\draw (1) node[below right] {$\\sigma_1$} -- (3) node[right] {$\\sigma_2$} -- (5) node[above] {$\\sigma_3$} -- (4) node[left] {$\\sigma_2'$} -- (6) node[below] {$\\sigma_3'$} -- (1)--(5); \n\t\t\t\\draw[dotted] (2) -- (3);\n\t\t\t\n\t\t\t\\foreach \\i in {1,...,6} {\\fill (\\i) circle (1.8pt);}; \n\t\t\t\\end{tikzpicture}\n\n\\end{document}", "\\documentclass[a4paper,oneside]{amsart}\n\\usepackage{tikz}\n\\usepackage{amssymb}\n\\usepackage{amsmath, mathtools}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture} [scale=1.5, inner sep=2mm]\n\t\t\t\\coordinate (4) at (0,0);\n\t\t\t\\coordinate (1) at (1.2,0);\n\t\t\t\\coordinate (2) at (0.6,0.5);\n\t\t\t\\coordinate (3) at (1.55,0.5);\n\t\t\t\\coordinate (5) at (0.8,1.5);\n\t\t\t\\coordinate (6) at (0.8,-1.2);\n\t\t\t\n\t\t\t\\fill[cyan!38, fill opacity=0.4] (3)--(5)--(4)--(6)--(2)--(3);\n\t\t\t\\draw (1.1, 0.5) -- (2) -- (5);\\draw (4) -- (2) node[below right, inner sep=1.4mm] {$\\sigma_1'$}-- (6);\n\t\t\t\\fill[brown!9, fill opacity=0.4] (1)--(5)--(3);\n\t\t\t\n\t\t\t\\draw (1) node[below right] {$\\sigma_1$} -- (3) node[right] {$\\sigma_2$} -- (5) node[above] {$\\sigma_3$} -- (4) node[left] {$\\sigma_2'$} -- (6) node[below] {$\\sigma_3'$} -- (1)--(5); \n\t\t\t\\draw[dotted] (2) -- (3);\n\t\t\t\n\t\t\t\\foreach \\i in {1,...,6} {\\fill (\\i) circle (1.8pt);}; \n\t\t\t\\end{tikzpicture}\n\n\\end{document}", "\\documentclass[a4paper,oneside]{amsart}\n\\usepackage{tikz}\n\\usepackage{amssymb}\n\\usepackage{amsmath, mathtools}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture} [scale=1.5, inner sep=2mm]\n\t\t\t\\coordinate (4) at (0,0);\n\t\t\t\\coordinate (1) at (1.2,0);\n\t\t\t\\coordinate (2) at (0.6,0.5);\n\t\t\t\\coordinate (3) at (1.55,0.5);\n\t\t\t\\coordinate (5) at (0.8,1.5);\n\t\t\t\\coordinate (6) at (0.8,-1.2);\n\t\t\t\n\t\t\t\\fill[yellow!11, fill opacity=0.4] (3)--(5)--(4)--(6)--(2)--(3);\n\t\t\t\\draw (1.1, 0.5) -- (2) -- (5);\\draw (4) -- (2) node[below right, inner sep=1.4mm] {$\\sigma_1'$}-- (6);\n\t\t\t\\fill[yellow!50, fill opacity=0.4] (1)--(5)--(3);\n\t\t\t\n\t\t\t\\draw[dotted] (2) -- (3);\n\t\t\t\n\t\t\t\\foreach \\i in {1,...,6} {\\fill (\\i) circle (1.8pt);}; \n\t\t\t\\end{tikzpicture}\n\n\\end{document}" ], "sample_images": [ "sample_21_0", "sample_21_1", "sample_21_2" ] }, { "tikz_code": "\\documentclass[a4paper,oneside]{amsart}\n\\usepackage{tikz}\n\\usepackage{amssymb}\n\\usepackage{amsmath, mathtools}\n\n\\begin{document}\n\n\\begin{tikzpicture}[scale=\\textwidth/10.5cm, inner sep=2mm]\n\t\t\\coordinate (1) at (0,1);\n\t\t\\coordinate (2) at (1, 1);\n\t\t\\coordinate (3) at (1,0);\n\t\t\\coordinate (4) at (0,0);\n\t\t\\coordinate (5) at (-0.6,-0.5);\n\t\t\\coordinate (6) at (1.7, 0.5);\n\t\t\n\t\t% Fill to make it a 2-complex\n\t\t\\fill[lightgray, fill opacity=0.4] (2)--(6)--(3)--(2); \n\t\t\n\t\t% Draw the 1-simplices\n\t\t\\draw[] (5)--(4)--(1)--(2)--(3)--(4); \n\t\t\\draw[] (2)--(6)--(3); \n\t\t\n\t\t% Draw all of the vertices\n\t\t\\foreach \\i in {1, ..., 6} {\\fill (\\i) circle (1.5pt);}\n\t\t\n\t\t%Contracting simplex\n\t\t\\draw[line width=3] (5)--(4);\n\t\t\\foreach \\i in {4, 5} {\\fill (\\i) circle (2pt);}\n\t\t\n\t\t%Arrow to next\n\t\t\\draw[->, line width=2] (2.15, 0.5) -- (2.65, 0.5);\n\t\t\n\t\t% Label the vertices\n\t\t\\begin{scope}[xshift=3cm]\n\t\t\\coordinate (1) at (0,1);\n\t\t\\coordinate (2) at (1, 1);\n\t\t\\coordinate (3) at (1,0);\n\t\t\\coordinate (4) at (0,0);\n\t\t\\coordinate (6) at (1.7, 0.5);\n\t\t\n\t\t% Fill to make it a 2-complex\n\t\t\\fill[lightgray, fill opacity=0.4] (2)--(6)--(3)--(2); \n\t\t\n\t\t% Draw the 1-simplices\n\t\t\\draw[] (4)--(1)--(2)--(3)--(4); \n\t\t\\draw[] (2)--(6)--(3); \n\t\t\n\t\t% Draw all of the vertices\n\t\t\\foreach \\i in {1, ..., 4, 6} {\\fill (\\i) circle (1.5pt);}\n\t\t\n\t\t%Contracting simplex\n\t\t\\draw[line width=3] (3)--(6);\n\t\t\\foreach \\i in {3, 6} {\\fill (\\i) circle (2pt);}\n\t\t\n\t\t%Arrow to next\n\t\t\\draw[->, line width=2] (2.15, 0.5) -- (2.65, 0.5);\n\t\t\n\t\t\\end{scope}\n\t\t\n\t\t\\begin{scope}[xshift=6cm]\n\t\t\\coordinate (1) at (0,1);\n\t\t\\coordinate (2) at (1, 1);\n\t\t\\coordinate (3) at (1,0);\n\t\t\\coordinate (4) at (0,0);\n\t\t\n\t\t% Draw the 1-simplices\n\t\t\\draw[] (4)--(1)--(2)--(3)--(4); \n\t\t\n\t\t% Draw all of the vertices\n\t\t\\foreach \\i in {1, ..., 4} {\\fill (\\i) circle (1.5pt);}\n\t\t\n\t\t%Contracting simplex\n\t\t\\draw[line width=3] (1)--(2);\n\t\t\\foreach \\i in {1, 2} {\\fill (\\i) circle (2pt);}\n\t\t\n\t\t%Arrow to next\n\t\t\\draw[->, line width=2] (1.65, 0.5) -- (2.15, 0.5);\n\t\t\n\t\t\\end{scope}\n\t\t\n\t\t\\begin{scope}[xshift=8.5cm]\n\t\t\\coordinate (1) at (0.5,1);\n\t\t\\coordinate (3) at (1,0);\n\t\t\\coordinate (4) at (0,0);\n\t\t\n\t\t% Draw the 1-simplices\n\t\t\\draw[] (4)--(1)--(3)--(4); \n\t\t\n\t\t% Draw all of the vertices\n\t\t\\foreach \\i in {1, 3, 4} {\\fill (\\i) circle (1.5pt);}\n\t\t\n\t\t\\end{scope}\n\t\t\n\t\t\\end{tikzpicture}\n\n\\end{document}", "original_image": "original_22", "generated_samples": [ "\\documentclass[a4paper,oneside]{amsart}\n\\usepackage{tikz}\n\\usepackage{amssymb}\n\\usepackage{amsmath, mathtools}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}[scale=\\textwidth/10.5cm, inner sep=2mm]\n\t\t\\coordinate (1) at (0,1);\n\t\t\\coordinate (2) at (1, 1);\n\t\t\\coordinate (3) at (1,0);\n\t\t\\coordinate (4) at (0,0);\n\t\t\\coordinate (5) at (-0.6,-0.5);\n\t\t\\coordinate (6) at (1.7, 0.5);\n\t\t\n\t\t% Fill to make it a 2-complex\n\t\t\\fill[orange!75, fill opacity=0.4] (2)--(6)--(3)--(2); \n\t\t\n\t\t% Draw the 1-simplices\n\t\t\\draw[] (5)--(4)--(1)--(2)--(3)--(4); \n\t\t\\draw[] (2)--(6)--(3); \n\t\t\n\t\t% Draw all of the vertices\n\t\t\\foreach \\i in {1, ..., 6} {\\fill (\\i) circle (1.5pt);}\n\t\t\n\t\t%Contracting simplex\n\t\t\\draw[line width=3] (5)--(4);\n\t\t\\foreach \\i in {4, 5} {\\fill (\\i) circle (2pt);}\n\t\t\n\t\t%Arrow to next\n\t\t\\draw[->, line width=2] (2.15, 0.5) -- (2.65, 0.5);\n\t\t\n\t\t% Label the vertices\n\t\t\\begin{scope}[xshift=3cm]\n\t\t\\coordinate (1) at (0,1);\n\t\t\\coordinate (2) at (1, 1);\n\t\t\\coordinate (3) at (1,0);\n\t\t\\coordinate (4) at (0,0);\n\t\t\\coordinate (6) at (1.7, 0.5);\n\t\t\n\t\t% Fill to make it a 2-complex\n\t\t\\fill[brown!56, fill opacity=0.4] (2)--(6)--(3)--(2); \n\t\t\n\t\t% Draw the 1-simplices\n\t\t\\draw[] (4)--(1)--(2)--(3)--(4); \n\t\t\\draw[] (2)--(6)--(3); \n\t\t\n\t\t% Draw all of the vertices\n\t\t\\foreach \\i in {1, ..., 4, 6} {\\fill (\\i) circle (1.5pt);}\n\t\t\n\t\t%Contracting simplex\n\t\t\\draw[line width=3] (3)--(6);\n\t\t\\foreach \\i in {3, 6} {\\fill (\\i) circle (2pt);}\n\t\t\n\t\t%Arrow to next\n\t\t\\draw[->, line width=2] (2.15, 0.5) -- (2.65, 0.5);\n\t\t\n\t\t\\end{scope}\n\t\t\n\t\t\\begin{scope}[xshift=6cm]\n\t\t\\coordinate (1) at (0,1);\n\t\t\\coordinate (2) at (1, 1);\n\t\t\\coordinate (3) at (1,0);\n\t\t\\coordinate (4) at (0,0);\n\t\t\n\t\t% Draw the 1-simplices\n\t\t\\draw[] (4)--(1)--(2)--(3)--(4); \n\t\t\n\t\t% Draw all of the vertices\n\t\t\\foreach \\i in {1, ..., 4} {\\fill (\\i) circle (1.5pt);}\n\t\t\n\t\t%Contracting simplex\n\t\t\\draw[line width=3] (1)--(2);\n\t\t\\foreach \\i in {1, 2} {\\fill (\\i) circle (2pt);}\n\t\t\n\t\t%Arrow to next\n\t\t\\draw[->, line width=2] (1.65, 0.5) -- (2.15, 0.5);\n\t\t\n\t\t\\end{scope}\n\t\t\n\t\t\\begin{scope}[xshift=8.5cm]\n\t\t\\coordinate (1) at (0.5,1);\n\t\t\\coordinate (3) at (1,0);\n\t\t\\coordinate (4) at (0,0);\n\t\t\n\t\t% Draw the 1-simplices\n\t\t\\draw[] (4)--(1)--(3)--(4); \n\t\t\n\t\t% Draw all of the vertices\n\t\t\\foreach \\i in {1, 3, 4} {\\fill (\\i) circle (1.5pt);}\n\t\t\n\t\t\\end{scope}\n\t\t\n\t\t\\end{tikzpicture}\n\n\\end{document}", "\\documentclass[a4paper,oneside]{amsart}\n\\usepackage{tikz}\n\\usepackage{amssymb}\n\\usepackage{amsmath, mathtools}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}[scale=\\textwidth/10.5cm, inner sep=2mm]\n\t\t\\coordinate (1) at (0,1);\n\t\t\\coordinate (2) at (1, 1);\n\t\t\\coordinate (3) at (1,0);\n\t\t\\coordinate (4) at (0,0);\n\t\t\\coordinate (5) at (-0.6,-0.5);\n\t\t\\coordinate (6) at (1.7, 0.5);\n\t\t\n\t\t% Fill to make it a 2-complex\n\t\t\\fill[blue!47, fill opacity=0.4] (2)--(6)--(3)--(2); \n\t\t\n\t\t% Draw the 1-simplices\n\t\t\\draw[] (2)--(6)--(3); \n\t\t\n\t\t% Draw all of the vertices\n\t\t\\foreach \\i in {1, ..., 6} {\\fill (\\i) circle (1.5pt);}\n\t\t\n\t\t%Contracting simplex\n\t\t\\draw[line width=3] (5)--(4);\n\t\t\\foreach \\i in {4, 5} {\\fill (\\i) circle (2pt);}\n\t\t\n\t\t%Arrow to next\n\t\t\\draw[->, line width=2] (2.15, 0.5) -- (2.65, 0.5);\n\t\t\n\t\t% Label the vertices\n\t\t\\begin{scope}[xshift=3cm]\n\t\t\\coordinate (1) at (0,1);\n\t\t\\coordinate (2) at (1, 1);\n\t\t\\coordinate (3) at (1,0);\n\t\t\\coordinate (4) at (0,0);\n\t\t\\coordinate (6) at (1.7, 0.5);\n\t\t\n\t\t% Fill to make it a 2-complex\n\t\t\\fill[black!73, fill opacity=0.4] (2)--(6)--(3)--(2); \n\t\t\n\t\t% Draw the 1-simplices\n\t\t\\draw[] (4)--(1)--(2)--(3)--(4); \n\t\t\\draw[] (2)--(6)--(3); \n\t\t\n\t\t% Draw all of the vertices\n\t\t\\foreach \\i in {1, ..., 4, 6} {\\fill (\\i) circle (1.5pt);}\n\t\t\n\t\t%Contracting simplex\n\t\t\\draw[line width=3] (3)--(6);\n\t\t\\foreach \\i in {3, 6} {\\fill (\\i) circle (2pt);}\n\t\t\n\t\t%Arrow to next\n\t\t\\draw[->, line width=2] (2.15, 0.5) -- (2.65, 0.5);\n\t\t\n\t\t\\end{scope}\n\t\t\n\t\t\\begin{scope}[xshift=6cm]\n\t\t\\coordinate (1) at (0,1);\n\t\t\\coordinate (2) at (1, 1);\n\t\t\\coordinate (3) at (1,0);\n\t\t\\coordinate (4) at (0,0);\n\t\t\n\t\t% Draw the 1-simplices\n\t\t\n\t\t% Draw all of the vertices\n\t\t\\foreach \\i in {1, ..., 4} {\\fill (\\i) circle (1.5pt);}\n\t\t\n\t\t%Contracting simplex\n\t\t\\draw[line width=3] (1)--(2);\n\t\t\\foreach \\i in {1, 2} {\\fill (\\i) circle (2pt);}\n\t\t\n\t\t%Arrow to next\n\t\t\\draw[->, line width=2] (1.65, 0.5) -- (2.15, 0.5);\n\t\t\n\t\t\\end{scope}\n\t\t\n\t\t\\begin{scope}[xshift=8.5cm]\n\t\t\\coordinate (1) at (0.5,1);\n\t\t\\coordinate (3) at (1,0);\n\t\t\\coordinate (4) at (0,0);\n\t\t\n\t\t% Draw the 1-simplices\n\t\t\\draw[] (4)--(1)--(3)--(4); \n\t\t\n\t\t% Draw all of the vertices\n\t\t\\foreach \\i in {1, 3, 4} {\\fill (\\i) circle (1.5pt);}\n\t\t\n\t\t\\end{scope}\n\t\t\n\t\t\\end{tikzpicture}\n\n\\end{document}", "\\documentclass[a4paper,oneside]{amsart}\n\\usepackage{tikz}\n\\usepackage{amssymb}\n\\usepackage{amsmath, mathtools}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}[scale=\\textwidth/10.5cm, inner sep=2mm]\n\t\t\\coordinate (1) at (0,1);\n\t\t\\coordinate (2) at (1, 1);\n\t\t\\coordinate (3) at (1,0);\n\t\t\\coordinate (4) at (0,0);\n\t\t\\coordinate (5) at (-0.6,-0.5);\n\t\t\\coordinate (6) at (1.7, 0.5);\n\t\t\n\t\t% Fill to make it a 2-complex\n\t\t\\fill[brown!60, fill opacity=0.4] (2)--(6)--(3)--(2); \n\t\t\n\t\t% Draw the 1-simplices\n\t\t\\draw[] (5)--(4)--(1)--(2)--(3)--(4); \n\t\t\\draw[] (2)--(6)--(3); \n\t\t\n\t\t% Draw all of the vertices\n\t\t\\foreach \\i in {1, ..., 6} {\\fill (\\i) circle (1.5pt);}\n\t\t\n\t\t%Contracting simplex\n\t\t\\draw[line width=3] (5)--(4);\n\t\t\\foreach \\i in {4, 5} {\\fill (\\i) circle (2pt);}\n\t\t\n\t\t%Arrow to next\n\t\t\\draw[->, line width=2] (2.15, 0.5) -- (2.65, 0.5);\n\t\t\n\t\t% Label the vertices\n\t\t\\begin{scope}[xshift=3cm]\n\t\t\\coordinate (1) at (0,1);\n\t\t\\coordinate (2) at (1, 1);\n\t\t\\coordinate (3) at (1,0);\n\t\t\\coordinate (4) at (0,0);\n\t\t\\coordinate (6) at (1.7, 0.5);\n\t\t\n\t\t% Fill to make it a 2-complex\n\t\t\\fill[cyan!76, fill opacity=0.4] (2)--(6)--(3)--(2); \n\t\t\n\t\t% Draw the 1-simplices\n\t\t\\draw[] (4)--(1)--(2)--(3)--(4); \n\t\t\\draw[] (2)--(6)--(3); \n\t\t\n\t\t% Draw all of the vertices\n\t\t\\foreach \\i in {1, ..., 4, 6} {\\fill (\\i) circle (1.5pt);}\n\t\t\n\t\t%Contracting simplex\n\t\t\\draw[line width=3] (3)--(6);\n\t\t\\foreach \\i in {3, 6} {\\fill (\\i) circle (2pt);}\n\t\t\n\t\t%Arrow to next\n\t\t\\draw[->, line width=2] (2.15, 0.5) -- (2.65, 0.5);\n\t\t\n\t\t\\end{scope}\n\t\t\n\t\t\\begin{scope}[xshift=6cm]\n\t\t\\coordinate (1) at (0,1);\n\t\t\\coordinate (2) at (1, 1);\n\t\t\\coordinate (3) at (1,0);\n\t\t\\coordinate (4) at (0,0);\n\t\t\n\t\t% Draw the 1-simplices\n\t\t\n\t\t% Draw all of the vertices\n\t\t\\foreach \\i in {1, ..., 4} {\\fill (\\i) circle (1.5pt);}\n\t\t\n\t\t%Contracting simplex\n\t\t\\draw[line width=3] (1)--(2);\n\t\t\\foreach \\i in {1, 2} {\\fill (\\i) circle (2pt);}\n\t\t\n\t\t%Arrow to next\n\t\t\\draw[->, line width=2] (1.65, 0.5) -- (2.15, 0.5);\n\t\t\n\t\t\\end{scope}\n\t\t\n\t\t\\begin{scope}[xshift=8.5cm]\n\t\t\\coordinate (1) at (0.5,1);\n\t\t\\coordinate (3) at (1,0);\n\t\t\\coordinate (4) at (0,0);\n\t\t\n\t\t% Draw the 1-simplices\n\t\t\\draw[] (4)--(1)--(3)--(4); \n\t\t\n\t\t% Draw all of the vertices\n\t\t\\foreach \\i in {1, 3, 4} {\\fill (\\i) circle (1.5pt);}\n\t\t\n\t\t\\end{scope}\n\t\t\n\t\t\\end{tikzpicture}\n\n\\end{document}" ], "sample_images": [ "sample_22_0", "sample_22_1", "sample_22_2" ] }, { "tikz_code": "\\documentclass[a4paper,oneside]{amsart}\n\\usepackage{tikz}\n\\usepackage{amssymb}\n\\usepackage{amsmath, mathtools}\n\n\\begin{document}\n\n\\begin{tikzpicture}[scale=1.6, inner sep=2mm]\n\t\t\t\\foreach \\i in {1, 2, ..., 5, 1.7, 2.3, 6, 6.5, 7, 8, 9}\n\t\t\t\\fill (\\i*360/9:1) coordinate (\\i) circle(1.5 pt);\n\t\t\t\n\t\t\t\\fill (1.4,0.5) coordinate (a) circle(1.5 pt);\n\t\t\t\n\t\t\t\\fill[lightgray, fill opacity=0.4](1) --(a)--(9) --(1);\n\t\t\t\\draw[very thick] (3) -- (4) --(5); \n\t\t\t\\draw[very thick] (8)--(9);\n\t\t\t\\draw[very thick] (1) --(a)--(9);\n\t\t\t\\draw[dashed] (1)--(9);\n\t\t\t\n\t\t\t%Labels\n\t\t\t\\coordinate (s) at (-0.7,0.7);\n\t\t\t\\draw (s) node[left ] {$s$};\n\t\t\t\n\t\t\t\\coordinate (A) at (0.85, 0.4);\n\t\t\t\\draw (A) node[right ] {$A$};\n\t\t\t\n\t\t\t\\coordinate (t) at (0.9, 0.3);\n\t\t\t\\draw (t) node[left ] {$\\tau$};\n\t\t\t\n\t\t\t\\end{tikzpicture}\n\n\\end{document}", "original_image": "original_23", "generated_samples": [ "\\documentclass[a4paper,oneside]{amsart}\n\\usepackage{tikz}\n\\usepackage{amssymb}\n\\usepackage{amsmath, mathtools}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}[scale=1.6, inner sep=2mm]\n\t\t\t\\foreach \\i in {1, 2, ..., 5, 1.7, 2.3, 6, 6.5, 7, 8, 9}\n\t\t\t\\fill (\\i*360/9:1) coordinate (\\i) circle(1.5 pt);\n\t\t\t\n\t\t\t\\fill (1.4,0.5) coordinate (a) circle(1.5 pt);\n\t\t\t\n\t\t\t\\fill[black!42, fill opacity=0.4](1) --(a)--(9) --(1);\n\t\t\t\\draw[thin] (3) -- (4) --(5); \n\t\t\t\\draw[thick] (8)--(9);\n\t\t\t\\draw[thick] (1) --(a)--(9);\n\t\t\t\\draw[dotted] (1)--(9);\n\t\t\t\n\t\t\t%Labels\n\t\t\t\\coordinate (s) at (-0.7,0.7);\n\t\t\t\\draw (s) node[left ] {$s$};\n\t\t\t\n\t\t\t\\coordinate (A) at (0.85, 0.4);\n\t\t\t\\draw (A) node[right ] {$A$};\n\t\t\t\n\t\t\t\\coordinate (t) at (0.9, 0.3);\n\t\t\t\n\t\t\t\\end{tikzpicture}\n\n\\end{document}", "\\documentclass[a4paper,oneside]{amsart}\n\\usepackage{tikz}\n\\usepackage{amssymb}\n\\usepackage{amsmath, mathtools}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}[scale=1.6, inner sep=2mm]\n\t\t\t\\foreach \\i in {1, 2, ..., 5, 1.7, 2.3, 6, 6.5, 7, 8, 9}\n\t\t\t\\fill (\\i*360/9:1) coordinate (\\i) circle(1.5 pt);\n\t\t\t\n\t\t\t\\fill (1.4,0.5) coordinate (a) circle(1.5 pt);\n\t\t\t\n\t\t\t\\fill[black!32, fill opacity=0.4](1) --(a)--(9) --(1);\n\t\t\t\\draw[thin] (3) -- (4) --(5); \n\t\t\t\\draw[thick] (1) --(a)--(9);\n\t\t\t\n\t\t\t%Labels\n\t\t\t\\coordinate (s) at (-0.7,0.7);\n\t\t\t\n\t\t\t\\coordinate (A) at (0.85, 0.4);\n\t\t\t\\draw (A) node[right ] {$A$};\n\t\t\t\n\t\t\t\\coordinate (t) at (0.9, 0.3);\n\t\t\t\\draw (t) node[left ] {$\\tau$};\n\t\t\t\n\t\t\t\\end{tikzpicture}\n\n\\end{document}", "\\documentclass[a4paper,oneside]{amsart}\n\\usepackage{tikz}\n\\usepackage{amssymb}\n\\usepackage{amsmath, mathtools}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}[scale=1.6, inner sep=2mm]\n\t\t\t\\foreach \\i in {1, 2, ..., 5, 1.7, 2.3, 6, 6.5, 7, 8, 9}\n\t\t\t\\fill (\\i*360/9:1) coordinate (\\i) circle(1.5 pt);\n\t\t\t\n\t\t\t\\fill (1.4,0.5) coordinate (a) circle(1.5 pt);\n\t\t\t\n\t\t\t\\fill[red!26, fill opacity=0.4](1) --(a)--(9) --(1);\n\t\t\t\\draw[thin] (3) -- (4) --(5); \n\t\t\t\\draw[dotted] (1)--(9);\n\t\t\t\n\t\t\t%Labels\n\t\t\t\\coordinate (s) at (-0.7,0.7);\n\t\t\t\\draw (s) node[left ] {$s$};\n\t\t\t\n\t\t\t\\coordinate (A) at (0.85, 0.4);\n\t\t\t\\draw (A) node[right ] {$A$};\n\t\t\t\n\t\t\t\\coordinate (t) at (0.9, 0.3);\n\t\t\t\\draw (t) node[left ] {$\\tau$};\n\t\t\t\n\t\t\t\\end{tikzpicture}\n\n\\end{document}" ], "sample_images": [ "sample_23_0", "sample_23_1", "sample_23_2" ] }, { "tikz_code": "\\documentclass[a4paper,oneside]{amsart}\n\\usepackage{tikz}\n\\usepackage{amssymb}\n\\usepackage{amsmath, mathtools}\n\n\\begin{document}\n\n\\begin{tikzpicture}[scale=1.6, inner sep=2mm]\n\t\t\t\\foreach \\i in {1, 1.5, 1.7, 7, 7.5, 8, 9}\n\t\t\t\\fill (\\i*360/9:1) coordinate (\\i) circle(1.5 pt);\n\t\t\t\n\t\t\t\\fill (1.4,0.5) coordinate (a) circle(1.5 pt);\n\t\t\t\n\t\t\t\\fill[lightgray, fill opacity=0.4](1) --(a)--(9) --(1);\n\t\t\t\\draw[very thick] (8)--(9);\n\t\t\t\\draw[very thick] (1) --(a)--(9);\n\t\t\t\\draw[dashed] (1)--(9);\n\t\t\t\n\t\t\t%Labels\n\t\t\t\\node at (1.35,0.2){$\\tau'$};\n\t\t\t\\node at (1.0, -0.35){$t$};\n\t\t\t\n\t\t\t\\coordinate (A) at (0.85, 0.4);\n\t\t\t\\draw (A) node[right ] {$A$};\n\t\t\t\n\t\t\t\\coordinate (t) at (0.9, 0.3);\n\t\t\t\\draw (t) node[left ] {$\\tau$};\n\t\t\t\n\t\t\t\\end{tikzpicture}\n\n\\end{document}", "original_image": "original_24", "generated_samples": [ "\\documentclass[a4paper,oneside]{amsart}\n\\usepackage{tikz}\n\\usepackage{amssymb}\n\\usepackage{amsmath, mathtools}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}[scale=1.6, inner sep=2mm]\n\t\t\t\\foreach \\i in {1, 1.5, 1.7, 7, 7.5, 8, 9}\n\t\t\t\\fill (\\i*360/9:1) coordinate (\\i) circle(1.5 pt);\n\t\t\t\n\t\t\t\\fill (1.4,0.5) coordinate (a) circle(1.5 pt);\n\t\t\t\n\t\t\t\\fill[blue!47, fill opacity=0.4](1) --(a)--(9) --(1);\n\t\t\t\\draw[thick] (8)--(9);\n\t\t\t\\draw[thin] (1) --(a)--(9);\n\t\t\t\\draw[dotted] (1)--(9);\n\t\t\t\n\t\t\t%Labels\n\t\t\t\\node at (1.35,0.2){$\\tau'$};\n\t\t\t\\node at (1.0, -0.35){$t$};\n\t\t\t\n\t\t\t\\coordinate (A) at (0.85, 0.4);\n\t\t\t\\draw (A) node[right ] {$A$};\n\t\t\t\n\t\t\t\\coordinate (t) at (0.9, 0.3);\n\t\t\t\\draw (t) node[left ] {$\\tau$};\n\t\t\t\n\t\t\t\\end{tikzpicture}\n\n\\end{document}", "\\documentclass[a4paper,oneside]{amsart}\n\\usepackage{tikz}\n\\usepackage{amssymb}\n\\usepackage{amsmath, mathtools}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}[scale=1.6, inner sep=2mm]\n\t\t\t\\foreach \\i in {1, 1.5, 1.7, 7, 7.5, 8, 9}\n\t\t\t\\fill (\\i*360/9:1) coordinate (\\i) circle(1.5 pt);\n\t\t\t\n\t\t\t\\fill (1.4,0.5) coordinate (a) circle(1.5 pt);\n\t\t\t\n\t\t\t\\fill[blue!100, fill opacity=0.4](1) --(a)--(9) --(1);\n\t\t\t\\draw[thin] (8)--(9);\n\t\t\t\\draw[dotted] (1)--(9);\n\t\t\t\n\t\t\t%Labels\n\t\t\t\\node at (1.35,0.2){$\\tau'$};\n\t\t\t\\node at (1.0, -0.35){$t$};\n\t\t\t\n\t\t\t\\coordinate (A) at (0.85, 0.4);\n\t\t\t\\draw (A) node[right ] {$A$};\n\t\t\t\n\t\t\t\\coordinate (t) at (0.9, 0.3);\n\t\t\t\n\t\t\t\\end{tikzpicture}\n\n\\end{document}", "\\documentclass[a4paper,oneside]{amsart}\n\\usepackage{tikz}\n\\usepackage{amssymb}\n\\usepackage{amsmath, mathtools}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}[scale=1.6, inner sep=2mm]\n\t\t\t\\foreach \\i in {1, 1.5, 1.7, 7, 7.5, 8, 9}\n\t\t\t\\fill (\\i*360/9:1) coordinate (\\i) circle(1.5 pt);\n\t\t\t\n\t\t\t\\fill (1.4,0.5) coordinate (a) circle(1.5 pt);\n\t\t\t\n\t\t\t\\fill[purple!50, fill opacity=0.4](1) --(a)--(9) --(1);\n\t\t\t\\draw[thin] (8)--(9);\n\t\t\t\\draw[thick] (1) --(a)--(9);\n\t\t\t\\draw[dotted] (1)--(9);\n\t\t\t\n\t\t\t%Labels\n\t\t\t\\node at (1.35,0.2){$\\tau'$};\n\t\t\t\\node at (1.0, -0.35){$t$};\n\t\t\t\n\t\t\t\\coordinate (A) at (0.85, 0.4);\n\t\t\t\\draw (A) node[right ] {$A$};\n\t\t\t\n\t\t\t\\coordinate (t) at (0.9, 0.3);\n\t\t\t\\draw (t) node[left ] {$\\tau$};\n\t\t\t\n\t\t\t\\end{tikzpicture}\n\n\\end{document}" ], "sample_images": [ "sample_24_0", "sample_24_1", "sample_24_2" ] }, { "tikz_code": "\\documentclass[a4paper,oneside]{amsart}\n\\usepackage{tikz}\n\\usepackage{amssymb}\n\\usepackage{amsmath, mathtools}\n\n\\begin{document}\n\n\\begin{tikzpicture}[scale=\\textwidth/10.5cm, inner sep=2mm]\n\t\t\\begin{scope}\n\t\t\\coordinate (1) at (0,0.2);\n\t\t\\coordinate (2) at (1,1);\n\t\t\\coordinate (3) at (0.9,-0.6);\n\t\t\\coordinate (4) at (1.9, 0.1);\n\t\t\\coordinate (5) at (2.1, -0.5);\n\t\t\\coordinate (a) at (0.95, 0.15);\n\t\t\n\t\t% Draw the back faces\n\t\t\\fill[lightgray, fill opacity=0.4] (1)--(2)--(4)--(1);\n\t\t\\draw (1) node[left]{1}--(2)node[above]{2}--(4) node[right]{4};\n\t\t\n\t\t\\fill[lightgray, fill opacity=0.4] (1)--(3)--(4)--(1);\n\t\t\\draw (1)--(3)--(4)--(0.95, 0.15);\n\t\t\n\t\t\\fill[lightgray, fill opacity=0.4] (5)--(3)--(4)--(5);\n\t\t\\draw (5)node[right]{5}--(3)node[left]{3}--(4)--(5);\n\t\t\n\t\t% Draw the front simplex\n\t\t\\fill[lightgray, fill opacity=0.4] (1)--(2)--(3)--(1);\n\t\t\\draw (1)--(2)--(3)--(1);\n\t\t\n\t\t\\draw[dashed] (1)--(4);\n\t\t\n\t\t% Draw all of the vertices\n\t\t\\foreach \\i in {1, 2, 3, 4, 5} {\\fill (\\i) circle (1.5pt);}\n\t\t\n\t\t%Contracting simplex\n\t\t\\draw[line width=3] (2) --(5);\n\t\t\\foreach \\i in {5, 2} {\\fill (\\i) circle (2pt);}\n\t\t\n\t\t%Arrow to next\n\t\t\\draw[->, line width=2] (2.8, 0.3) -- (3.3, 0.3);\n\t\t\n\t\t\\end{scope}\t\t\t\n\t\t\\begin{scope}[xshift=3.8cm]\n\t\t\\coordinate (1) at (0.2,0.2);\n\t\t\\coordinate (2) at (0.9,1);\n\t\t\\coordinate (3) at (0.8,-0.6);\n\t\t\\coordinate (4) at (1.9, 0.1);\n\t\t\n\t\t% Draw the back faces\n\t\t\\fill[lightgray, fill opacity=0.4] (1)--(2)--(4)--(1);\n\t\t\\draw (1)--(2)--(4);\n\t\t\n\t\t\\fill[lightgray, fill opacity=0.4] (1)--(3)--(4)--(1);\n\t\t\\draw (1)--(3)--(4);\n\t\t\n\t\t% Draw the front simplex\n\t\t\\fill[lightgray, fill opacity=0.4] (1)--(2)--(3)--(1);\n\t\t\\draw (1)--(2) node[above] {$z$}--(3)--(1); \n\t\t\n\t\t\\draw[dashed] (1)--(4);\n\t\t\n\t\t% Draw all of the vertices\n\t\t\\foreach \\i in {1, 2, 3, 4} {\\fill (\\i) circle (1.5pt);}\n\t\t\n\t\t\\end{scope}\n\t\t\\end{tikzpicture}\n\n\\end{document}", "original_image": "original_25", "generated_samples": [ "\\documentclass[a4paper,oneside]{amsart}\n\\usepackage{tikz}\n\\usepackage{amssymb}\n\\usepackage{amsmath, mathtools}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}[scale=\\textwidth/10.5cm, inner sep=2mm]\n\t\t\\begin{scope}\n\t\t\\coordinate (1) at (0,0.2);\n\t\t\\coordinate (2) at (1,1);\n\t\t\\coordinate (3) at (0.9,-0.6);\n\t\t\\coordinate (4) at (1.9, 0.1);\n\t\t\\coordinate (5) at (2.1, -0.5);\n\t\t\\coordinate (a) at (0.95, 0.15);\n\t\t\n\t\t% Draw the back faces\n\t\t\\fill[orange!65, fill opacity=0.4] (1)--(2)--(4)--(1);\n\t\t\\draw (1) node[left]{1}--(2)node[above]{2}--(4) node[right]{4};\n\t\t\n\t\t\\fill[brown!14, fill opacity=0.4] (1)--(3)--(4)--(1);\n\t\t\\draw (1)--(3)--(4)--(0.95, 0.15);\n\t\t\n\t\t\\fill[red!92, fill opacity=0.4] (5)--(3)--(4)--(5);\n\t\t\\draw (5)node[right]{5}--(3)node[left]{3}--(4)--(5);\n\t\t\n\t\t% Draw the front simplex\n\t\t\\fill[red!32, fill opacity=0.4] (1)--(2)--(3)--(1);\n\t\t\n\t\t\\draw[dotted] (1)--(4);\n\t\t\n\t\t% Draw all of the vertices\n\t\t\\foreach \\i in {1, 2, 3, 4, 5} {\\fill (\\i) circle (1.5pt);}\n\t\t\n\t\t%Contracting simplex\n\t\t\\draw[line width=3] (2) --(5);\n\t\t\\foreach \\i in {5, 2} {\\fill (\\i) circle (2pt);}\n\t\t\n\t\t%Arrow to next\n\t\t\\draw[->, line width=2] (2.8, 0.3) -- (3.3, 0.3);\n\t\t\n\t\t\\end{scope}\t\t\t\n\t\t\\begin{scope}[xshift=3.8cm]\n\t\t\\coordinate (1) at (0.2,0.2);\n\t\t\\coordinate (2) at (0.9,1);\n\t\t\\coordinate (3) at (0.8,-0.6);\n\t\t\\coordinate (4) at (1.9, 0.1);\n\t\t\n\t\t% Draw the back faces\n\t\t\\fill[orange!24, fill opacity=0.4] (1)--(2)--(4)--(1);\n\t\t\\draw (1)--(2)--(4);\n\t\t\n\t\t\\fill[black!44, fill opacity=0.4] (1)--(3)--(4)--(1);\n\t\t\\draw (1)--(3)--(4);\n\t\t\n\t\t% Draw the front simplex\n\t\t\\fill[blue!12, fill opacity=0.4] (1)--(2)--(3)--(1);\n\t\t\n\t\t\\draw[dotted] (1)--(4);\n\t\t\n\t\t% Draw all of the vertices\n\t\t\\foreach \\i in {1, 2, 3, 4} {\\fill (\\i) circle (1.5pt);}\n\t\t\n\t\t\\end{scope}\n\t\t\\end{tikzpicture}\n\n\\end{document}", "\\documentclass[a4paper,oneside]{amsart}\n\\usepackage{tikz}\n\\usepackage{amssymb}\n\\usepackage{amsmath, mathtools}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}[scale=\\textwidth/10.5cm, inner sep=2mm]\n\t\t\\begin{scope}\n\t\t\\coordinate (1) at (0,0.2);\n\t\t\\coordinate (2) at (1,1);\n\t\t\\coordinate (3) at (0.9,-0.6);\n\t\t\\coordinate (4) at (1.9, 0.1);\n\t\t\\coordinate (5) at (2.1, -0.5);\n\t\t\\coordinate (a) at (0.95, 0.15);\n\t\t\n\t\t% Draw the back faces\n\t\t\\fill[green!28, fill opacity=0.4] (1)--(2)--(4)--(1);\n\t\t\\draw (1) node[left]{1}--(2)node[above]{2}--(4) node[right]{4};\n\t\t\n\t\t\\fill[yellow!56, fill opacity=0.4] (1)--(3)--(4)--(1);\n\t\t\\draw (1)--(3)--(4)--(0.95, 0.15);\n\t\t\n\t\t\\fill[yellow!24, fill opacity=0.4] (5)--(3)--(4)--(5);\n\t\t\\draw (5)node[right]{5}--(3)node[left]{3}--(4)--(5);\n\t\t\n\t\t% Draw the front simplex\n\t\t\\fill[blue!68, fill opacity=0.4] (1)--(2)--(3)--(1);\n\t\t\\draw (1)--(2)--(3)--(1);\n\t\t\n\t\t\\draw[dotted] (1)--(4);\n\t\t\n\t\t% Draw all of the vertices\n\t\t\\foreach \\i in {1, 2, 3, 4, 5} {\\fill (\\i) circle (1.5pt);}\n\t\t\n\t\t%Contracting simplex\n\t\t\\draw[line width=3] (2) --(5);\n\t\t\\foreach \\i in {5, 2} {\\fill (\\i) circle (2pt);}\n\t\t\n\t\t%Arrow to next\n\t\t\\draw[->, line width=2] (2.8, 0.3) -- (3.3, 0.3);\n\t\t\n\t\t\\end{scope}\t\t\t\n\t\t\\begin{scope}[xshift=3.8cm]\n\t\t\\coordinate (1) at (0.2,0.2);\n\t\t\\coordinate (2) at (0.9,1);\n\t\t\\coordinate (3) at (0.8,-0.6);\n\t\t\\coordinate (4) at (1.9, 0.1);\n\t\t\n\t\t% Draw the back faces\n\t\t\\fill[yellow!54, fill opacity=0.4] (1)--(2)--(4)--(1);\n\t\t\\draw (1)--(2)--(4);\n\t\t\n\t\t\\fill[red!91, fill opacity=0.4] (1)--(3)--(4)--(1);\n\t\t\\draw (1)--(3)--(4);\n\t\t\n\t\t% Draw the front simplex\n\t\t\\fill[red!28, fill opacity=0.4] (1)--(2)--(3)--(1);\n\t\t\\draw (1)--(2) node[above] {$z$}--(3)--(1); \n\t\t\n\t\t\\draw[dotted] (1)--(4);\n\t\t\n\t\t% Draw all of the vertices\n\t\t\\foreach \\i in {1, 2, 3, 4} {\\fill (\\i) circle (1.5pt);}\n\t\t\n\t\t\\end{scope}\n\t\t\\end{tikzpicture}\n\n\\end{document}", "\\documentclass[a4paper,oneside]{amsart}\n\\usepackage{tikz}\n\\usepackage{amssymb}\n\\usepackage{amsmath, mathtools}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}[scale=\\textwidth/10.5cm, inner sep=2mm]\n\t\t\\begin{scope}\n\t\t\\coordinate (1) at (0,0.2);\n\t\t\\coordinate (2) at (1,1);\n\t\t\\coordinate (3) at (0.9,-0.6);\n\t\t\\coordinate (4) at (1.9, 0.1);\n\t\t\\coordinate (5) at (2.1, -0.5);\n\t\t\\coordinate (a) at (0.95, 0.15);\n\t\t\n\t\t% Draw the back faces\n\t\t\\fill[purple!5, fill opacity=0.4] (1)--(2)--(4)--(1);\n\t\t\\draw (1) node[left]{1}--(2)node[above]{2}--(4) node[right]{4};\n\t\t\n\t\t\\fill[black!95, fill opacity=0.4] (1)--(3)--(4)--(1);\n\t\t\\draw (1)--(3)--(4)--(0.95, 0.15);\n\t\t\n\t\t\\fill[purple!97, fill opacity=0.4] (5)--(3)--(4)--(5);\n\t\t\\draw (5)node[right]{5}--(3)node[left]{3}--(4)--(5);\n\t\t\n\t\t% Draw the front simplex\n\t\t\\fill[red!40, fill opacity=0.4] (1)--(2)--(3)--(1);\n\t\t\\draw (1)--(2)--(3)--(1);\n\t\t\n\t\t\\draw[dotted] (1)--(4);\n\t\t\n\t\t% Draw all of the vertices\n\t\t\\foreach \\i in {1, 2, 3, 4, 5} {\\fill (\\i) circle (1.5pt);}\n\t\t\n\t\t%Contracting simplex\n\t\t\\draw[line width=3] (2) --(5);\n\t\t\\foreach \\i in {5, 2} {\\fill (\\i) circle (2pt);}\n\t\t\n\t\t%Arrow to next\n\t\t\\draw[->, line width=2] (2.8, 0.3) -- (3.3, 0.3);\n\t\t\n\t\t\\end{scope}\t\t\t\n\t\t\\begin{scope}[xshift=3.8cm]\n\t\t\\coordinate (1) at (0.2,0.2);\n\t\t\\coordinate (2) at (0.9,1);\n\t\t\\coordinate (3) at (0.8,-0.6);\n\t\t\\coordinate (4) at (1.9, 0.1);\n\t\t\n\t\t% Draw the back faces\n\t\t\\fill[purple!87, fill opacity=0.4] (1)--(2)--(4)--(1);\n\t\t\\draw (1)--(2)--(4);\n\t\t\n\t\t\\fill[black!44, fill opacity=0.4] (1)--(3)--(4)--(1);\n\t\t\\draw (1)--(3)--(4);\n\t\t\n\t\t% Draw the front simplex\n\t\t\\fill[brown!95, fill opacity=0.4] (1)--(2)--(3)--(1);\n\t\t\\draw (1)--(2) node[above] {$z$}--(3)--(1); \n\t\t\n\t\t\\draw[dotted] (1)--(4);\n\t\t\n\t\t% Draw all of the vertices\n\t\t\\foreach \\i in {1, 2, 3, 4} {\\fill (\\i) circle (1.5pt);}\n\t\t\n\t\t\\end{scope}\n\t\t\\end{tikzpicture}\n\n\\end{document}" ], "sample_images": [ "sample_25_0", "sample_25_1", "sample_25_2" ] }, { "tikz_code": "\\documentclass[a4paper,oneside]{amsart}\n\\usepackage{tikz}\n\\usepackage{amssymb}\n\\usepackage{amsmath, mathtools}\n\n\\begin{document}\n\n\\begin{tikzpicture}[scale=\\textwidth/10.5cm, inner sep=2mm]\n\t\t\\begin{scope}\n\t\t\\coordinate (1) at (0.5,1);\n\t\t\\coordinate (2) at (1,0);\n\t\t\\coordinate (3) at (0,0);\n\t\t\n\t\t% Draw the 1-simplices\n\t\t\\draw[] (3) node[left] {1}--(1)node[left] {2}--(2) node[right] {3}--(3); \n\t\t\n\t\t% Draw all of the vertices\n\t\t\\foreach \\i in {1, 2, 3} {\\fill (\\i) circle (1.5pt);}\n\t\t\n\t\t%Contracting simplex\n\t\t\\draw[line width=3] (1)--(2);\n\t\t\\foreach \\i in {1, 2} {\\fill (\\i) circle (2pt);}\n\t\t\n\t\t%Arrow to next\n\t\t\\draw[->, line width=2] (1.5, 0.5) -- (2.0, 0.5);\n\t\t\n\t\t\\end{scope}\t\t\t\n\t\t\\begin{scope}[xshift=2.5cm]\n\t\t\\coordinate (1) at (0,0.5);\n\t\t\\coordinate (2) at (1,0.5);\n\t\t\n\t\t% Draw the 1-simplices/Contracting simplex\n\t\t\\draw[] (1)--(2) node[above]{$z$}; \n\t\t\n\t\t% Draw all of the vertices\n\t\t\\foreach \\i in {1, 2} {\\fill (\\i) circle (1.5pt);}\n\t\t\n\t\t\n\t\t\\end{scope}\n\t\t\\end{tikzpicture}\n\n\\end{document}", "original_image": "original_26", "generated_samples": [ "\\documentclass[a4paper,oneside]{amsart}\n\\usepackage{tikz}\n\\usepackage{amssymb}\n\\usepackage{amsmath, mathtools}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}[scale=\\textwidth/10.5cm, inner sep=2mm]\n\t\t\\begin{scope}\n\t\t\\coordinate (1) at (0.5,1);\n\t\t\\coordinate (2) at (1,0);\n\t\t\\coordinate (3) at (0,0);\n\t\t\n\t\t% Draw the 1-simplices\n\t\t\\draw[] (3) node[left] {1}--(1)node[left] {2}--(2) node[right] {3}--(3); \n\t\t\n\t\t% Draw all of the vertices\n\t\t\\foreach \\i in {1, 2, 3} {\\fill (\\i) circle (1.5pt);}\n\t\t\n\t\t%Contracting simplex\n\t\t\\draw[line width=3] (1)--(2);\n\t\t\\foreach \\i in {1, 2} {\\fill (\\i) circle (2pt);}\n\t\t\n\t\t%Arrow to next\n\t\t\\draw[->, line width=2] (1.5, 0.5) -- (2.0, 0.5);\n\t\t\n\t\t\\end{scope}\t\t\t\n\t\t\\begin{scope}[xshift=2.5cm]\n\t\t\\coordinate (1) at (0,0.5);\n\t\t\\coordinate (2) at (1,0.5);\n\t\t\n\t\t% Draw the 1-simplices/Contracting simplex\n\t\t\n\t\t% Draw all of the vertices\n\t\t\\foreach \\i in {1, 2} {\\fill (\\i) circle (1.5pt);}\n\t\t\n\t\t\n\t\t\\end{scope}\n\t\t\\end{tikzpicture}\n\n\\end{document}", "\\documentclass[a4paper,oneside]{amsart}\n\\usepackage{tikz}\n\\usepackage{amssymb}\n\\usepackage{amsmath, mathtools}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}[scale=\\textwidth/10.5cm, inner sep=2mm]\n\t\t\\begin{scope}\n\t\t\\coordinate (1) at (0.5,1);\n\t\t\\coordinate (2) at (1,0);\n\t\t\\coordinate (3) at (0,0);\n\t\t\n\t\t% Draw the 1-simplices\n\t\t\\draw[] (3) node[left] {1}--(1)node[left] {2}--(2) node[right] {3}--(3); \n\t\t\n\t\t% Draw all of the vertices\n\t\t\\foreach \\i in {1, 2, 3} {\\fill (\\i) circle (1.5pt);}\n\t\t\n\t\t%Contracting simplex\n\t\t\\draw[line width=3] (1)--(2);\n\t\t\\foreach \\i in {1, 2} {\\fill (\\i) circle (2pt);}\n\t\t\n\t\t%Arrow to next\n\t\t\\draw[->, line width=2] (1.5, 0.5) -- (2.0, 0.5);\n\t\t\n\t\t\\end{scope}\t\t\t\n\t\t\\begin{scope}[xshift=2.5cm]\n\t\t\\coordinate (1) at (0,0.5);\n\t\t\\coordinate (2) at (1,0.5);\n\t\t\n\t\t% Draw the 1-simplices/Contracting simplex\n\t\t\\draw[] (1)--(2) node[above]{$z$}; \n\t\t\n\t\t% Draw all of the vertices\n\t\t\\foreach \\i in {1, 2} {\\fill (\\i) circle (1.5pt);}\n\t\t\n\t\t\n\t\t\\end{scope}\n\t\t\\end{tikzpicture}\n\n\\end{document}", "\\documentclass[a4paper,oneside]{amsart}\n\\usepackage{tikz}\n\\usepackage{amssymb}\n\\usepackage{amsmath, mathtools}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}[scale=\\textwidth/10.5cm, inner sep=2mm]\n\t\t\\begin{scope}\n\t\t\\coordinate (1) at (0.5,1);\n\t\t\\coordinate (2) at (1,0);\n\t\t\\coordinate (3) at (0,0);\n\t\t\n\t\t% Draw the 1-simplices\n\t\t\\draw[] (3) node[left] {1}--(1)node[left] {2}--(2) node[right] {3}--(3); \n\t\t\n\t\t% Draw all of the vertices\n\t\t\\foreach \\i in {1, 2, 3} {\\fill (\\i) circle (1.5pt);}\n\t\t\n\t\t%Contracting simplex\n\t\t\\draw[line width=3] (1)--(2);\n\t\t\\foreach \\i in {1, 2} {\\fill (\\i) circle (2pt);}\n\t\t\n\t\t%Arrow to next\n\t\t\\draw[->, line width=2] (1.5, 0.5) -- (2.0, 0.5);\n\t\t\n\t\t\\end{scope}\t\t\t\n\t\t\\begin{scope}[xshift=2.5cm]\n\t\t\\coordinate (1) at (0,0.5);\n\t\t\\coordinate (2) at (1,0.5);\n\t\t\n\t\t% Draw the 1-simplices/Contracting simplex\n\t\t\\draw[] (1)--(2) node[above]{$z$}; \n\t\t\n\t\t% Draw all of the vertices\n\t\t\\foreach \\i in {1, 2} {\\fill (\\i) circle (1.5pt);}\n\t\t\n\t\t\n\t\t\\end{scope}\n\t\t\\end{tikzpicture}\n\n\\end{document}" ], "sample_images": [ "sample_26_0", "sample_26_1", "sample_26_2" ] }, { "tikz_code": "\\documentclass[a4paper,oneside]{amsart}\n\\usepackage{tikz}\n\\usepackage{amssymb}\n\\usepackage{amsmath, mathtools}\n\n\\begin{document}\n\n\\begin{tikzpicture} [scale=1.5, inner sep=2mm]\n\t\t\t\\coordinate (4) at (-0.15,0);\n\t\t\t\\coordinate (1) at (1,0);\n\t\t\t\\coordinate (2) at (0.6,0.5);\n\t\t\t\\coordinate (3) at (1.7,0.5);\n\t\t\t\\coordinate (5) at (0.8,1.5);\n\t\t\t\\coordinate (6) at (0.8,-1.2);\n\t\t\t\n\t\t\t\\fill[lightgray, fill opacity=0.8] (1)--(3)--(5)--(4)--(6)--(1);\n\t\t\t\\fill[lightgray, fill opacity=0.4] (3)--(5)--(4)--(6)--(3);\n\t\t\t\n\t\t\t\\draw (4) -- (1) node[inner sep=1mm, below right] {1} -- (3) node[right] {3} -- (5) node[above] {5} -- (4) node[left] {4} -- (6) node[below] {6} -- (3); \\draw (5) -- (1) -- (6);\n\t\t\t\\draw[dashed] (5) -- (2) node[below] {2} -- (6); \\draw[dashed] (4) -- (2) -- (3);\n\t\t\t%Contracting simplex\n\t\t\t\\draw[line width=2.7] (1)--(4);\n\t\t\t\n\t\t\t\\foreach \\i in {1,...,6} {\\fill (\\i) circle (1.8pt);}; \n\t\t\t\\end{tikzpicture}\n\n\\end{document}", "original_image": "original_27", "generated_samples": [ "\\documentclass[a4paper,oneside]{amsart}\n\\usepackage{tikz}\n\\usepackage{amssymb}\n\\usepackage{amsmath, mathtools}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture} [scale=1.5, inner sep=2mm]\n\t\t\t\\coordinate (4) at (-0.15,0);\n\t\t\t\\coordinate (1) at (1,0);\n\t\t\t\\coordinate (2) at (0.6,0.5);\n\t\t\t\\coordinate (3) at (1.7,0.5);\n\t\t\t\\coordinate (5) at (0.8,1.5);\n\t\t\t\\coordinate (6) at (0.8,-1.2);\n\t\t\t\n\t\t\t\\fill[black!88, fill opacity=0.8] (1)--(3)--(5)--(4)--(6)--(1);\n\t\t\t\\fill[blue!17, fill opacity=0.4] (3)--(5)--(4)--(6)--(3);\n\t\t\t\n\t\t\t\\draw (4) -- (1) node[inner sep=1mm, below right] {1} -- (3) node[right] {3} -- (5) node[above] {5} -- (4) node[left] {4} -- (6) node[below] {6} -- (3); \\draw (5) -- (1) -- (6);\n\t\t\t\\draw[dotted] (5) -- (2) node[below] {2} -- (6); \\draw[dotted] (4) -- (2) -- (3);\n\t\t\t%Contracting simplex\n\t\t\t\\draw[line width=2.7] (1)--(4);\n\t\t\t\n\t\t\t\\foreach \\i in {1,...,6} {\\fill (\\i) circle (1.8pt);}; \n\t\t\t\\end{tikzpicture}\n\n\\end{document}", "\\documentclass[a4paper,oneside]{amsart}\n\\usepackage{tikz}\n\\usepackage{amssymb}\n\\usepackage{amsmath, mathtools}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture} [scale=1.5, inner sep=2mm]\n\t\t\t\\coordinate (4) at (-0.15,0);\n\t\t\t\\coordinate (1) at (1,0);\n\t\t\t\\coordinate (2) at (0.6,0.5);\n\t\t\t\\coordinate (3) at (1.7,0.5);\n\t\t\t\\coordinate (5) at (0.8,1.5);\n\t\t\t\\coordinate (6) at (0.8,-1.2);\n\t\t\t\n\t\t\t\\fill[orange!44, fill opacity=0.8] (1)--(3)--(5)--(4)--(6)--(1);\n\t\t\t\\fill[green!59, fill opacity=0.4] (3)--(5)--(4)--(6)--(3);\n\t\t\t\n\t\t\t\\draw (4) -- (1) node[inner sep=1mm, below right] {1} -- (3) node[right] {3} -- (5) node[above] {5} -- (4) node[left] {4} -- (6) node[below] {6} -- (3); \\draw (5) -- (1) -- (6);\n\t\t\t\\draw[dotted] (5) -- (2) node[below] {2} -- (6); \\draw[dotted] (4) -- (2) -- (3);\n\t\t\t%Contracting simplex\n\t\t\t\\draw[line width=2.7] (1)--(4);\n\t\t\t\n\t\t\t\\foreach \\i in {1,...,6} {\\fill (\\i) circle (1.8pt);}; \n\t\t\t\\end{tikzpicture}\n\n\\end{document}", "\\documentclass[a4paper,oneside]{amsart}\n\\usepackage{tikz}\n\\usepackage{amssymb}\n\\usepackage{amsmath, mathtools}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture} [scale=1.5, inner sep=2mm]\n\t\t\t\\coordinate (4) at (-0.15,0);\n\t\t\t\\coordinate (1) at (1,0);\n\t\t\t\\coordinate (2) at (0.6,0.5);\n\t\t\t\\coordinate (3) at (1.7,0.5);\n\t\t\t\\coordinate (5) at (0.8,1.5);\n\t\t\t\\coordinate (6) at (0.8,-1.2);\n\t\t\t\n\t\t\t\\fill[black!1, fill opacity=0.8] (1)--(3)--(5)--(4)--(6)--(1);\n\t\t\t\\fill[green!40, fill opacity=0.4] (3)--(5)--(4)--(6)--(3);\n\t\t\t\n\t\t\t\\draw (4) -- (1) node[inner sep=1mm, below right] {1} -- (3) node[right] {3} -- (5) node[above] {5} -- (4) node[left] {4} -- (6) node[below] {6} -- (3); \\draw (5) -- (1) -- (6);\n\t\t\t\\draw[dotted] (5) -- (2) node[below] {2} -- (6); \\draw[dotted] (4) -- (2) -- (3);\n\t\t\t%Contracting simplex\n\t\t\t\\draw[line width=2.7] (1)--(4);\n\t\t\t\n\t\t\t\\foreach \\i in {1,...,6} {\\fill (\\i) circle (1.8pt);}; \n\t\t\t\\end{tikzpicture}\n\n\\end{document}" ], "sample_images": [ "sample_27_0", "sample_27_1", "sample_27_2" ] }, { "tikz_code": "\\documentclass[a4paper,oneside]{amsart}\n\\usepackage{tikz}\n\\usepackage{amssymb}\n\\usepackage{amsmath, mathtools}\n\n\\begin{document}\n\n\\begin{tikzpicture}[scale=1.7, inner sep=2mm]\t\n\t\t\\begin{scope}\n\t\t\n\t\t\\foreach \\i in {1,2, 3, 5}\n\t\t\\fill (\\i*360/6-50-50:0.7) coordinate (\\i) circle(1.5 pt);\n\t\t\n\t\t% Draw the 1-simplices\n\t\t\\draw (1)--(2)--(3);\n\t\t\n\t\t% Label the vertices\n\t\t\\node[left] at (1){$4$};\n\t\t\\node[right] at (2){$3$};\n\t\t\\node[left] at (3){$2$};\n\t\t\\node[right] at (5){$1$};\n\t\t\n\t\t%Contracting simplex\n\t\t\\draw[line width=3] (1)--(2);\n\t\t\\foreach \\i in {1,2} {\\fill (\\i) circle (2pt);}\n\t\t\n\t\t%Arrow to next\n\t\t\\draw[->, line width=2] (2.0, 0) -- (2.5, 0);\n\t\t\n\t\t\\end{scope}\t\t\t\n\t\t\\begin{scope}[xshift=4.5cm]\n\t\t\\foreach \\i in {1, 2,4}\n\t\t\\fill (\\i*360/5-30-60:0.7) coordinate (\\i) circle(1.5 pt);\n\t\t\n\t\t% Draw the 1-simplices\n\t\t\\draw (1)--(2);\n\t\t\n\t\t% Label the vertices\n\t\t\\node[left] at (1){$\\hat{3}$};\n\t\t\\node[left] at (2){$\\hat{2}$};\n\t\t\\node[right] at (4){$\\hat{1}$};\n\t\t\n\t\t\\end{scope}\n\t\t\\end{tikzpicture}\n\n\\end{document}", "original_image": "original_28", "generated_samples": [ "\\documentclass[a4paper,oneside]{amsart}\n\\usepackage{tikz}\n\\usepackage{amssymb}\n\\usepackage{amsmath, mathtools}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}[scale=1.7, inner sep=2mm]\t\n\t\t\\begin{scope}\n\t\t\n\t\t\\foreach \\i in {1,2, 3, 5}\n\t\t\\fill (\\i*360/6-50-50:0.7) coordinate (\\i) circle(1.5 pt);\n\t\t\n\t\t% Draw the 1-simplices\n\t\t\\draw (1)--(2)--(3);\n\t\t\n\t\t% Label the vertices\n\t\t\\node[left] at (1){$\\cos$};\n\t\t\\node[right] at (2){$\\sin$};\n\t\t\\node[left] at (3){$\\tan$};\n\t\t\\node[right] at (5){$\\log$};\n\t\t\n\t\t%Contracting simplex\n\t\t\\draw[line width=3] (1)--(2);\n\t\t\\foreach \\i in {1,2} {\\fill (\\i) circle (2pt);}\n\t\t\n\t\t%Arrow to next\n\t\t\\draw[->, line width=2] (2.0, 0) -- (2.5, 0);\n\t\t\n\t\t\\end{scope}\t\t\t\n\t\t\\begin{scope}[xshift=4.5cm]\n\t\t\\foreach \\i in {1, 2,4}\n\t\t\\fill (\\i*360/5-30-60:0.7) coordinate (\\i) circle(1.5 pt);\n\t\t\n\t\t% Draw the 1-simplices\n\t\t\\draw (1)--(2);\n\t\t\n\t\t% Label the vertices\n\t\t\\node[left] at (1){$\\hat{3}$};\n\t\t\\node[left] at (2){$\\hat{2}$};\n\t\t\\node[right] at (4){$\\hat{1}$};\n\t\t\n\t\t\\end{scope}\n\t\t\\end{tikzpicture}\n\n\\end{document}", "\\documentclass[a4paper,oneside]{amsart}\n\\usepackage{tikz}\n\\usepackage{amssymb}\n\\usepackage{amsmath, mathtools}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}[scale=1.7, inner sep=2mm]\t\n\t\t\\begin{scope}\n\t\t\n\t\t\\foreach \\i in {1,2, 3, 5}\n\t\t\\fill (\\i*360/6-50-50:0.7) coordinate (\\i) circle(1.5 pt);\n\t\t\n\t\t% Draw the 1-simplices\n\t\t\\draw (1)--(2)--(3);\n\t\t\n\t\t% Label the vertices\n\t\t\\node[left] at (1){$\\cos$};\n\t\t\\node[right] at (2){$\\sin$};\n\t\t\\node[left] at (3){$\\tan$};\n\t\t\\node[right] at (5){$\\log$};\n\t\t\n\t\t%Contracting simplex\n\t\t\\draw[line width=3] (1)--(2);\n\t\t\\foreach \\i in {1,2} {\\fill (\\i) circle (2pt);}\n\t\t\n\t\t%Arrow to next\n\t\t\\draw[->, line width=2] (2.0, 0) -- (2.5, 0);\n\t\t\n\t\t\\end{scope}\t\t\t\n\t\t\\begin{scope}[xshift=4.5cm]\n\t\t\\foreach \\i in {1, 2,4}\n\t\t\\fill (\\i*360/5-30-60:0.7) coordinate (\\i) circle(1.5 pt);\n\t\t\n\t\t% Draw the 1-simplices\n\t\t\\draw (1)--(2);\n\t\t\n\t\t% Label the vertices\n\t\t\\node[left] at (1){$\\hat{3}$};\n\t\t\\node[left] at (2){$\\hat{2}$};\n\t\t\\node[right] at (4){$\\hat{1}$};\n\t\t\n\t\t\\end{scope}\n\t\t\\end{tikzpicture}\n\n\\end{document}", "\\documentclass[a4paper,oneside]{amsart}\n\\usepackage{tikz}\n\\usepackage{amssymb}\n\\usepackage{amsmath, mathtools}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}[scale=1.7, inner sep=2mm]\t\n\t\t\\begin{scope}\n\t\t\n\t\t\\foreach \\i in {1,2, 3, 5}\n\t\t\\fill (\\i*360/6-50-50:0.7) coordinate (\\i) circle(1.5 pt);\n\t\t\n\t\t% Draw the 1-simplices\n\t\t\\draw (1)--(2)--(3);\n\t\t\n\t\t% Label the vertices\n\t\t\\node[left] at (1){$\\cos$};\n\t\t\\node[right] at (2){$\\sin$};\n\t\t\\node[left] at (3){$\\tan$};\n\t\t\\node[right] at (5){$\\log$};\n\t\t\n\t\t%Contracting simplex\n\t\t\\draw[line width=3] (1)--(2);\n\t\t\\foreach \\i in {1,2} {\\fill (\\i) circle (2pt);}\n\t\t\n\t\t%Arrow to next\n\t\t\\draw[->, line width=2] (2.0, 0) -- (2.5, 0);\n\t\t\n\t\t\\end{scope}\t\t\t\n\t\t\\begin{scope}[xshift=4.5cm]\n\t\t\\foreach \\i in {1, 2,4}\n\t\t\\fill (\\i*360/5-30-60:0.7) coordinate (\\i) circle(1.5 pt);\n\t\t\n\t\t% Draw the 1-simplices\n\t\t\\draw (1)--(2);\n\t\t\n\t\t% Label the vertices\n\t\t\\node[left] at (1){$\\hat{3}$};\n\t\t\\node[left] at (2){$\\hat{2}$};\n\t\t\\node[right] at (4){$\\hat{1}$};\n\t\t\n\t\t\\end{scope}\n\t\t\\end{tikzpicture}\n\n\\end{document}" ], "sample_images": [ "sample_28_0", "sample_28_1", "sample_28_2" ] }, { "tikz_code": "\\documentclass[a4paper,oneside]{amsart}\n\\usepackage{tikz}\n\\usepackage{amssymb}\n\\usepackage{amsmath, mathtools}\n\n\\begin{document}\n\n\\begin{tikzpicture}\t[scale=0.75, inner sep=2mm]\n\t\t\t\\coordinate (top) at (1, 2.5);\n\t\t\t\n\t\t\t\\foreach \\i in {1, ..., 6}\n\t\t\t\\fill (\\i*360/6:2) coordinate (\\i) circle(2 pt);\n\t\t\t\n\t\t\t\\foreach \\i in {7, ..., 12}\n\t\t\t\\fill (\\i*360/6:1) coordinate (\\i) circle(2 pt);\n\t\t\t\n\t\t\t\n\t\t\t\\fill[white] (top) -- (2)-- (1);\n\t\t\t\\fill (0,0) coordinate (a) circle(2pt);\n\t\t\t\n\t\t\t\\fill[lightgray, fill opacity=0.4](1) --(2)--(3) --(4)--(5)--(6)--(1);\n\t\t\t\n\t\t\t\\draw[very thick] (1) --(2)--(3) --(4)--(5)--(6)--(1);\n\t\t\t\\draw[very thick] (7) --(8)--(9) --(10)--(11)--(12)--(7);\n\t\t\t\\draw[very thick] (1)--(8)--(3)--(10)--(5)--(12)--(1);\n\t\t\t\\draw[very thick] (1)--(7)--(a)--(10)--(4);\n\t\t\t\\draw[very thick] (2)--(8)--(a)--(11)--(5);\n\t\t\t\\draw[very thick] (3)--(9)--(a)--(12)--(6);\n\t\t\t\n\t\t\t% Draw all of the vertices\n\t\t\t\\foreach \\i in {1, ..., 12, a} {\\fill (\\i) circle (4pt);}\n\t\t\t\\end{tikzpicture}\n\n\\end{document}", "original_image": "original_29", "generated_samples": [ "\\documentclass[a4paper,oneside]{amsart}\n\\usepackage{tikz}\n\\usepackage{amssymb}\n\\usepackage{amsmath, mathtools}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}\t[scale=0.75, inner sep=2mm]\n\t\t\t\\coordinate (top) at (1, 2.5);\n\t\t\t\n\t\t\t\\foreach \\i in {1, ..., 6}\n\t\t\t\\fill (\\i*360/6:2) coordinate (\\i) circle(2 pt);\n\t\t\t\n\t\t\t\\foreach \\i in {7, ..., 12}\n\t\t\t\\fill (\\i*360/6:1) coordinate (\\i) circle(2 pt);\n\t\t\t\n\t\t\t\n\t\t\t\\fill[blue!3] (top) -- (2)-- (1);\n\t\t\t\\fill (0,0) coordinate (a) circle(2pt);\n\t\t\t\n\t\t\t\\fill[cyan!40, fill opacity=0.4](1) --(2)--(3) --(4)--(5)--(6)--(1);\n\t\t\t\n\t\t\t\\draw[thin] (1) --(2)--(3) --(4)--(5)--(6)--(1);\n\t\t\t\\draw[thick] (7) --(8)--(9) --(10)--(11)--(12)--(7);\n\t\t\t\\draw[thin] (1)--(8)--(3)--(10)--(5)--(12)--(1);\n\t\t\t\\draw[thick] (2)--(8)--(a)--(11)--(5);\n\t\t\t\\draw[thin] (3)--(9)--(a)--(12)--(6);\n\t\t\t\n\t\t\t% Draw all of the vertices\n\t\t\t\\foreach \\i in {1, ..., 12, a} {\\fill (\\i) circle (4pt);}\n\t\t\t\\end{tikzpicture}\n\n\\end{document}", "\\documentclass[a4paper,oneside]{amsart}\n\\usepackage{tikz}\n\\usepackage{amssymb}\n\\usepackage{amsmath, mathtools}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}\t[scale=0.75, inner sep=2mm]\n\t\t\t\\coordinate (top) at (1, 2.5);\n\t\t\t\n\t\t\t\\foreach \\i in {1, ..., 6}\n\t\t\t\\fill (\\i*360/6:2) coordinate (\\i) circle(2 pt);\n\t\t\t\n\t\t\t\\foreach \\i in {7, ..., 12}\n\t\t\t\\fill (\\i*360/6:1) coordinate (\\i) circle(2 pt);\n\t\t\t\n\t\t\t\n\t\t\t\\fill[blue!17] (top) -- (2)-- (1);\n\t\t\t\\fill (0,0) coordinate (a) circle(2pt);\n\t\t\t\n\t\t\t\\fill[orange!64, fill opacity=0.4](1) --(2)--(3) --(4)--(5)--(6)--(1);\n\t\t\t\n\t\t\t\\draw[thick] (1) --(2)--(3) --(4)--(5)--(6)--(1);\n\t\t\t\\draw[thin] (1)--(8)--(3)--(10)--(5)--(12)--(1);\n\t\t\t\\draw[thin] (1)--(7)--(a)--(10)--(4);\n\t\t\t\\draw[thin] (2)--(8)--(a)--(11)--(5);\n\t\t\t\\draw[thin] (3)--(9)--(a)--(12)--(6);\n\t\t\t\n\t\t\t% Draw all of the vertices\n\t\t\t\\foreach \\i in {1, ..., 12, a} {\\fill (\\i) circle (4pt);}\n\t\t\t\\end{tikzpicture}\n\n\\end{document}", "\\documentclass[a4paper,oneside]{amsart}\n\\usepackage{tikz}\n\\usepackage{amssymb}\n\\usepackage{amsmath, mathtools}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}\t[scale=0.75, inner sep=2mm]\n\t\t\t\\coordinate (top) at (1, 2.5);\n\t\t\t\n\t\t\t\\foreach \\i in {1, ..., 6}\n\t\t\t\\fill (\\i*360/6:2) coordinate (\\i) circle(2 pt);\n\t\t\t\n\t\t\t\\foreach \\i in {7, ..., 12}\n\t\t\t\\fill (\\i*360/6:1) coordinate (\\i) circle(2 pt);\n\t\t\t\n\t\t\t\n\t\t\t\\fill[green!21] (top) -- (2)-- (1);\n\t\t\t\\fill (0,0) coordinate (a) circle(2pt);\n\t\t\t\n\t\t\t\\fill[yellow!18, fill opacity=0.4](1) --(2)--(3) --(4)--(5)--(6)--(1);\n\t\t\t\n\t\t\t\\draw[thin] (1) --(2)--(3) --(4)--(5)--(6)--(1);\n\t\t\t\\draw[thin] (7) --(8)--(9) --(10)--(11)--(12)--(7);\n\t\t\t\\draw[thick] (1)--(7)--(a)--(10)--(4);\n\t\t\t\\draw[thin] (3)--(9)--(a)--(12)--(6);\n\t\t\t\n\t\t\t% Draw all of the vertices\n\t\t\t\\foreach \\i in {1, ..., 12, a} {\\fill (\\i) circle (4pt);}\n\t\t\t\\end{tikzpicture}\n\n\\end{document}" ], "sample_images": [ "sample_29_0", "sample_29_1", "sample_29_2" ] }, { "tikz_code": "\\documentclass[a4paper,oneside]{amsart}\n\\usepackage{tikz}\n\\usepackage{amssymb}\n\\usepackage{amsmath, mathtools}\n\n\\begin{document}\n\n\\begin{tikzpicture}[scale=1.7, inner sep=2mm]\n\t\t\\begin{scope}\n\t\t\\coordinate (5) at (0,1);\n\t\t\\coordinate (1) at (1, 1);\n\t\t\\coordinate (2) at (1.7, 0.5);\n\t\t\\coordinate (3) at (1,0);\n\t\t\\coordinate (4) at (0,0);\n\t\t\\coordinate (e1) at (0.5,1);\n\t\t\\coordinate (e2) at (1,0.5);\n\t\t\\coordinate (e3) at (0.5,0.5);\n\t\t\\coordinate (e4) at (0.5,0);\n\t\t\\coordinate (e5) at (0,0.5);\n\t\t\n\t\t\\fill[lightgray] (2)--(1)--(3)--(2);\n\t\t\n\t\t% Draw the 1-simplices\n\t\t\\draw[] (4) node[left]{$4$} --(5) node[left]{$5$}--(1) node[above]{$1$}--(2)--(3)--(4); \n\t\t\\draw[] (1)--(3); \n\t\t\n\t\t\\node[above] at (1.5,0.6) {$e_1$};\n\t\t\\node[below] at (1.5, 0.3){$e_2$};\n\t\t\\node[left] at (1.1, 0.5){$e_3$};\n\t\t\\node[below] at (0.5,0.1) {$e_4$};\n\t\t\\node[left] at (0, 0.5) {$e_5$};\n\t\t\\node[above] at (0.5, 0.9) {$e_6$};\n\t\t\n\t\t% Draw all of the vertices\n\t\t\\foreach \\i in {1, ..., 5} {\\fill (\\i) circle (1.5pt);}\n\t\t\n\t\t%Contracting simplex\n\t\t\\draw[line width=3] (3)node[below] {$3$}--(2)node[right] {$2$};\n\t\t\\draw[line width=3] (4)--(5);\n\t\t\\foreach \\i in {2, 3,4,5} {\\fill (\\i) circle (2pt);}\n\t\t\n\t\t%Arrow to next\n\t\t\\draw[->, line width=2] (2.6, 0.5) -- (3.1, 0.5);\n\t\t\n\t\t\\end{scope}\t\t\t\n\t\t\\begin{scope}[xshift=4cm]\n\t\t\\coordinate (1) at (0.5,1);\n\t\t\\coordinate (3) at (1,0);\n\t\t\\coordinate (4) at (0,0);\n\t\t\\coordinate (e) at (0.7,0.6);\n\t\t\n\t\t% Draw the 1-simplices\n\t\t\\draw[] (4)--(1) node[above] {$\\hat{1}$}--(3) node[right] {$\\hat{2}$}--(4) node[left] {$\\hat{3}$}; \n\t\t\\draw (e) node[right] {$\\hat{e}$};\n\t\t\n\t\t% Draw all of the vertices\n\t\t\\foreach \\i in {1, 3, 4} {\\fill (\\i) circle (1.5pt);}\n\t\t\\end{scope}\n\t\t\\end{tikzpicture}\n\n\\end{document}", "original_image": "original_30", "generated_samples": [ "\\documentclass[a4paper,oneside]{amsart}\n\\usepackage{tikz}\n\\usepackage{amssymb}\n\\usepackage{amsmath, mathtools}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}[scale=1.7, inner sep=2mm]\n\t\t\\begin{scope}\n\t\t\\coordinate (5) at (0,1);\n\t\t\\coordinate (1) at (1, 1);\n\t\t\\coordinate (2) at (1.7, 0.5);\n\t\t\\coordinate (3) at (1,0);\n\t\t\\coordinate (4) at (0,0);\n\t\t\\coordinate (e1) at (0.5,1);\n\t\t\\coordinate (e2) at (1,0.5);\n\t\t\\coordinate (e3) at (0.5,0.5);\n\t\t\\coordinate (e4) at (0.5,0);\n\t\t\\coordinate (e5) at (0,0.5);\n\t\t\n\t\t\\fill[cyan!44] (2)--(1)--(3)--(2);\n\t\t\n\t\t% Draw the 1-simplices\n\t\t\\draw[] (1)--(3); \n\t\t\n\t\t\\node[above] at (1.5,0.6) {$\\cos$};\n\t\t\\node[below] at (1.5, 0.3){$\\sin$};\n\t\t\\node[left] at (1.1, 0.5){$\\tan$};\n\t\t\\node[below] at (0.5,0.1) {$\\log$};\n\t\t\\node[left] at (0, 0.5) {$\\cos$};\n\t\t\\node[above] at (0.5, 0.9) {$\\sin$};\n\t\t\n\t\t% Draw all of the vertices\n\t\t\\foreach \\i in {1, ..., 5} {\\fill (\\i) circle (1.5pt);}\n\t\t\n\t\t%Contracting simplex\n\t\t\\draw[line width=3] (3)node[below] {$\\tan$}--(2)node[right] {$2$};\n\t\t\\foreach \\i in {2, 3,4,5} {\\fill (\\i) circle (2pt);}\n\t\t\n\t\t%Arrow to next\n\t\t\\draw[->, line width=2] (2.6, 0.5) -- (3.1, 0.5);\n\t\t\n\t\t\\end{scope}\t\t\t\n\t\t\\begin{scope}[xshift=4cm]\n\t\t\\coordinate (1) at (0.5,1);\n\t\t\\coordinate (3) at (1,0);\n\t\t\\coordinate (4) at (0,0);\n\t\t\\coordinate (e) at (0.7,0.6);\n\t\t\n\t\t% Draw the 1-simplices\n\t\t\\draw (e) node[right] {$\\hat{e}$};\n\t\t\n\t\t% Draw all of the vertices\n\t\t\\foreach \\i in {1, 3, 4} {\\fill (\\i) circle (1.5pt);}\n\t\t\\end{scope}\n\t\t\\end{tikzpicture}\n\n\\end{document}", "\\documentclass[a4paper,oneside]{amsart}\n\\usepackage{tikz}\n\\usepackage{amssymb}\n\\usepackage{amsmath, mathtools}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}[scale=1.7, inner sep=2mm]\n\t\t\\begin{scope}\n\t\t\\coordinate (5) at (0,1);\n\t\t\\coordinate (1) at (1, 1);\n\t\t\\coordinate (2) at (1.7, 0.5);\n\t\t\\coordinate (3) at (1,0);\n\t\t\\coordinate (4) at (0,0);\n\t\t\\coordinate (e1) at (0.5,1);\n\t\t\\coordinate (e2) at (1,0.5);\n\t\t\\coordinate (e3) at (0.5,0.5);\n\t\t\\coordinate (e4) at (0.5,0);\n\t\t\\coordinate (e5) at (0,0.5);\n\t\t\n\t\t\\fill[red!51] (2)--(1)--(3)--(2);\n\t\t\n\t\t% Draw the 1-simplices\n\t\t\\draw[] (4) node[left]{$4$} --(5) node[left]{$5$}--(1) node[above]{$1$}--(2)--(3)--(4); \n\t\t\\draw[] (1)--(3); \n\t\t\n\t\t\\node[above] at (1.5,0.6) {$\\cos$};\n\t\t\\node[below] at (1.5, 0.3){$\\sin$};\n\t\t\\node[left] at (1.1, 0.5){$\\tan$};\n\t\t\\node[below] at (0.5,0.1) {$\\log$};\n\t\t\\node[left] at (0, 0.5) {$\\cos$};\n\t\t\\node[above] at (0.5, 0.9) {$\\sin$};\n\t\t\n\t\t% Draw all of the vertices\n\t\t\\foreach \\i in {1, ..., 5} {\\fill (\\i) circle (1.5pt);}\n\t\t\n\t\t%Contracting simplex\n\t\t\\draw[line width=3] (3)node[below] {$\\tan$}--(2)node[right] {$2$};\n\t\t\\draw[line width=3] (4)--(5);\n\t\t\\foreach \\i in {2, 3,4,5} {\\fill (\\i) circle (2pt);}\n\t\t\n\t\t%Arrow to next\n\t\t\\draw[->, line width=2] (2.6, 0.5) -- (3.1, 0.5);\n\t\t\n\t\t\\end{scope}\t\t\t\n\t\t\\begin{scope}[xshift=4cm]\n\t\t\\coordinate (1) at (0.5,1);\n\t\t\\coordinate (3) at (1,0);\n\t\t\\coordinate (4) at (0,0);\n\t\t\\coordinate (e) at (0.7,0.6);\n\t\t\n\t\t% Draw the 1-simplices\n\t\t\\draw (e) node[right] {$\\hat{e}$};\n\t\t\n\t\t% Draw all of the vertices\n\t\t\\foreach \\i in {1, 3, 4} {\\fill (\\i) circle (1.5pt);}\n\t\t\\end{scope}\n\t\t\\end{tikzpicture}\n\n\\end{document}", "\\documentclass[a4paper,oneside]{amsart}\n\\usepackage{tikz}\n\\usepackage{amssymb}\n\\usepackage{amsmath, mathtools}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}[scale=1.7, inner sep=2mm]\n\t\t\\begin{scope}\n\t\t\\coordinate (5) at (0,1);\n\t\t\\coordinate (1) at (1, 1);\n\t\t\\coordinate (2) at (1.7, 0.5);\n\t\t\\coordinate (3) at (1,0);\n\t\t\\coordinate (4) at (0,0);\n\t\t\\coordinate (e1) at (0.5,1);\n\t\t\\coordinate (e2) at (1,0.5);\n\t\t\\coordinate (e3) at (0.5,0.5);\n\t\t\\coordinate (e4) at (0.5,0);\n\t\t\\coordinate (e5) at (0,0.5);\n\t\t\n\t\t\\fill[yellow!76] (2)--(1)--(3)--(2);\n\t\t\n\t\t% Draw the 1-simplices\n\t\t\\draw[] (4) node[left]{$4$} --(5) node[left]{$5$}--(1) node[above]{$1$}--(2)--(3)--(4); \n\t\t\\draw[] (1)--(3); \n\t\t\n\t\t\\node[above] at (1.5,0.6) {$\\cos$};\n\t\t\\node[below] at (1.5, 0.3){$\\sin$};\n\t\t\\node[left] at (1.1, 0.5){$\\tan$};\n\t\t\\node[below] at (0.5,0.1) {$\\log$};\n\t\t\\node[left] at (0, 0.5) {$\\cos$};\n\t\t\\node[above] at (0.5, 0.9) {$\\sin$};\n\t\t\n\t\t% Draw all of the vertices\n\t\t\\foreach \\i in {1, ..., 5} {\\fill (\\i) circle (1.5pt);}\n\t\t\n\t\t%Contracting simplex\n\t\t\\draw[line width=3] (3)node[below] {$\\tan$}--(2)node[right] {$2$};\n\t\t\\draw[line width=3] (4)--(5);\n\t\t\\foreach \\i in {2, 3,4,5} {\\fill (\\i) circle (2pt);}\n\t\t\n\t\t%Arrow to next\n\t\t\\draw[->, line width=2] (2.6, 0.5) -- (3.1, 0.5);\n\t\t\n\t\t\\end{scope}\t\t\t\n\t\t\\begin{scope}[xshift=4cm]\n\t\t\\coordinate (1) at (0.5,1);\n\t\t\\coordinate (3) at (1,0);\n\t\t\\coordinate (4) at (0,0);\n\t\t\\coordinate (e) at (0.7,0.6);\n\t\t\n\t\t% Draw the 1-simplices\n\t\t\\draw (e) node[right] {$\\hat{e}$};\n\t\t\n\t\t% Draw all of the vertices\n\t\t\\foreach \\i in {1, 3, 4} {\\fill (\\i) circle (1.5pt);}\n\t\t\\end{scope}\n\t\t\\end{tikzpicture}\n\n\\end{document}" ], "sample_images": [ "sample_30_0", "sample_30_1", "sample_30_2" ] }, { "tikz_code": "\\documentclass[a4paper,oneside]{amsart}\n\\usepackage{tikz}\n\\usepackage{amssymb}\n\\usepackage{amsmath, mathtools}\n\n\\begin{document}\n\n\\begin{tikzpicture} [scale=1.5, inner sep=2mm]\n\t\t\t\\coordinate (2) at (0,0.4);\n\t\t\t\\coordinate (1) at (0.9,0);\n\t\t\t\\coordinate (3) at (1.7,0.6);\n\t\t\t\\coordinate (5) at (0.8,1.5);\n\t\t\t\\coordinate (6) at (0.8,-1.2);\n\t\t\t\n\t\t\t\\fill[lightgray, fill opacity=0.8] (1)--(3)--(5)--(2)--(6)--(1);\n\t\t\t\\fill[lightgray, fill opacity=0.4] (3)--(5)--(2)--(6)--(3);\n\t\t\t\n\t\t\t\\draw (1) node[inner sep=1mm, below right] {$\\hat{1}$} -- (3) node[right] {$\\hat{3}$} -- (5) node[above] {$\\hat{5}$} --(2) node[left] {$\\hat{2}$}-- (6) node[below] {$\\hat{6}$} -- (3); \\draw (5) -- (1) -- (6); \\draw (1)--(2);\n\t\t\t\\draw[dashed] (2) -- (3);\n\t\t\t\n\t\t\t\\foreach \\i in {1, 2,3,5,6} {\\fill (\\i) circle (1.8pt);}; \n\t\t\t\\end{tikzpicture}\n\n\\end{document}", "original_image": "original_31", "generated_samples": [ "\\documentclass[a4paper,oneside]{amsart}\n\\usepackage{tikz}\n\\usepackage{amssymb}\n\\usepackage{amsmath, mathtools}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture} [scale=1.5, inner sep=2mm]\n\t\t\t\\coordinate (2) at (0,0.4);\n\t\t\t\\coordinate (1) at (0.9,0);\n\t\t\t\\coordinate (3) at (1.7,0.6);\n\t\t\t\\coordinate (5) at (0.8,1.5);\n\t\t\t\\coordinate (6) at (0.8,-1.2);\n\t\t\t\n\t\t\t\\fill[cyan!89, fill opacity=0.8] (1)--(3)--(5)--(2)--(6)--(1);\n\t\t\t\\fill[cyan!8, fill opacity=0.4] (3)--(5)--(2)--(6)--(3);\n\t\t\t\n\t\t\t\\draw[dotted] (2) -- (3);\n\t\t\t\n\t\t\t\\foreach \\i in {1, 2,3,5,6} {\\fill (\\i) circle (1.8pt);}; \n\t\t\t\\end{tikzpicture}\n\n\\end{document}", "\\documentclass[a4paper,oneside]{amsart}\n\\usepackage{tikz}\n\\usepackage{amssymb}\n\\usepackage{amsmath, mathtools}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture} [scale=1.5, inner sep=2mm]\n\t\t\t\\coordinate (2) at (0,0.4);\n\t\t\t\\coordinate (1) at (0.9,0);\n\t\t\t\\coordinate (3) at (1.7,0.6);\n\t\t\t\\coordinate (5) at (0.8,1.5);\n\t\t\t\\coordinate (6) at (0.8,-1.2);\n\t\t\t\n\t\t\t\\fill[cyan!95, fill opacity=0.8] (1)--(3)--(5)--(2)--(6)--(1);\n\t\t\t\\fill[yellow!51, fill opacity=0.4] (3)--(5)--(2)--(6)--(3);\n\t\t\t\n\t\t\t\\draw (1) node[inner sep=1mm, below right] {$\\hat{1}$} -- (3) node[right] {$\\hat{3}$} -- (5) node[above] {$\\hat{5}$} --(2) node[left] {$\\hat{2}$}-- (6) node[below] {$\\hat{6}$} -- (3); \\draw (5) -- (1) -- (6); \\draw (1)--(2);\n\t\t\t\\draw[dotted] (2) -- (3);\n\t\t\t\n\t\t\t\\foreach \\i in {1, 2,3,5,6} {\\fill (\\i) circle (1.8pt);}; \n\t\t\t\\end{tikzpicture}\n\n\\end{document}", "\\documentclass[a4paper,oneside]{amsart}\n\\usepackage{tikz}\n\\usepackage{amssymb}\n\\usepackage{amsmath, mathtools}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture} [scale=1.5, inner sep=2mm]\n\t\t\t\\coordinate (2) at (0,0.4);\n\t\t\t\\coordinate (1) at (0.9,0);\n\t\t\t\\coordinate (3) at (1.7,0.6);\n\t\t\t\\coordinate (5) at (0.8,1.5);\n\t\t\t\\coordinate (6) at (0.8,-1.2);\n\t\t\t\n\t\t\t\\fill[green!66, fill opacity=0.8] (1)--(3)--(5)--(2)--(6)--(1);\n\t\t\t\\fill[orange!26, fill opacity=0.4] (3)--(5)--(2)--(6)--(3);\n\t\t\t\n\t\t\t\\draw (1) node[inner sep=1mm, below right] {$\\hat{1}$} -- (3) node[right] {$\\hat{3}$} -- (5) node[above] {$\\hat{5}$} --(2) node[left] {$\\hat{2}$}-- (6) node[below] {$\\hat{6}$} -- (3); \\draw (5) -- (1) -- (6); \\draw (1)--(2);\n\t\t\t\n\t\t\t\\foreach \\i in {1, 2,3,5,6} {\\fill (\\i) circle (1.8pt);}; \n\t\t\t\\end{tikzpicture}\n\n\\end{document}" ], "sample_images": [ "sample_31_0", "sample_31_1", "sample_31_2" ] }, { "tikz_code": "\\documentclass[a4paper,oneside]{amsart}\n\\usepackage{tikz}\n\\usepackage{amssymb}\n\\usepackage{amsmath, mathtools}\n\n\\begin{document}\n\n\\begin{tikzpicture}[scale=1.7, inner sep=2mm]\t\n\t\t\\begin{scope}\n\t\t\\foreach \\i in {1, ..., 5}\n\t\t\\fill (\\i*360/5-55:0.7) coordinate (\\i) circle(1.5 pt);\n\t\t\n\t\t% Draw the 1-simplices\n\t\t\\draw (1)--(2)--(3)--(4)--(5);\n\t\t\n\t\t% Label the vertices\n\t\t\\node[right] at (1){$3$};\n\t\t\\node[above] at (2){$2$};\n\t\t\\node[left] at (3){$4$};\n\t\t\\node[left] at (4){$1$};\n\t\t\\node[right] at (5){$5$};\n\t\t\n\t\t%Contracting simplex\n\t\t\\draw[line width=3] (1)--(2);\n\t\t\\foreach \\i in {1,2} {\\fill (\\i) circle (2pt);}\n\t\t\n\t\t%Arrow to next\n\t\t\\draw[->, line width=2] (1.5, 0) -- (2, 0);\n\t\t\n\t\t\\end{scope}\t\t\t\n\t\t\\begin{scope}[xshift=3.5cm]\n\t\t\\foreach \\i in {1, ..., 4}\n\t\t\\fill (\\i*360/4-45:0.7) coordinate (\\i) circle(1.5 pt);\n\t\t\n\t\t% Draw the 1-simplices\n\t\t\\draw (1)--(2)--(3)--(4);\n\t\t\n\t\t% Label the vertices\n\t\t\\node[right] at (1){$\\hat{2}$};\n\t\t\\node[left] at (2){$\\hat{4}$};\n\t\t\\node[left] at (3){$\\hat{1}$};\n\t\t\\node[right] at (4){$\\hat{5}$};\n\t\t\n\t\t\\end{scope}\n\t\t\\end{tikzpicture}\n\n\\end{document}", "original_image": "original_32", "generated_samples": [ "\\documentclass[a4paper,oneside]{amsart}\n\\usepackage{tikz}\n\\usepackage{amssymb}\n\\usepackage{amsmath, mathtools}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}[scale=1.7, inner sep=2mm]\t\n\t\t\\begin{scope}\n\t\t\\foreach \\i in {1, ..., 5}\n\t\t\\fill (\\i*360/5-55:0.7) coordinate (\\i) circle(1.5 pt);\n\t\t\n\t\t% Draw the 1-simplices\n\t\t\\draw (1)--(2)--(3)--(4)--(5);\n\t\t\n\t\t% Label the vertices\n\t\t\\node[right] at (1){$\\cos$};\n\t\t\\node[above] at (2){$\\sin$};\n\t\t\\node[left] at (3){$\\tan$};\n\t\t\\node[left] at (4){$\\log$};\n\t\t\\node[right] at (5){$\\cos$};\n\t\t\n\t\t%Contracting simplex\n\t\t\\draw[line width=3] (1)--(2);\n\t\t\\foreach \\i in {1,2} {\\fill (\\i) circle (2pt);}\n\t\t\n\t\t%Arrow to next\n\t\t\\draw[->, line width=2] (1.5, 0) -- (2, 0);\n\t\t\n\t\t\\end{scope}\t\t\t\n\t\t\\begin{scope}[xshift=3.5cm]\n\t\t\\foreach \\i in {1, ..., 4}\n\t\t\\fill (\\i*360/4-45:0.7) coordinate (\\i) circle(1.5 pt);\n\t\t\n\t\t% Draw the 1-simplices\n\t\t\\draw (1)--(2)--(3)--(4);\n\t\t\n\t\t% Label the vertices\n\t\t\\node[right] at (1){$\\hat{2}$};\n\t\t\\node[left] at (2){$\\hat{4}$};\n\t\t\\node[left] at (3){$\\hat{1}$};\n\t\t\\node[right] at (4){$\\hat{5}$};\n\t\t\n\t\t\\end{scope}\n\t\t\\end{tikzpicture}\n\n\\end{document}", "\\documentclass[a4paper,oneside]{amsart}\n\\usepackage{tikz}\n\\usepackage{amssymb}\n\\usepackage{amsmath, mathtools}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}[scale=1.7, inner sep=2mm]\t\n\t\t\\begin{scope}\n\t\t\\foreach \\i in {1, ..., 5}\n\t\t\\fill (\\i*360/5-55:0.7) coordinate (\\i) circle(1.5 pt);\n\t\t\n\t\t% Draw the 1-simplices\n\t\t\\draw (1)--(2)--(3)--(4)--(5);\n\t\t\n\t\t% Label the vertices\n\t\t\\node[right] at (1){$\\cos$};\n\t\t\\node[above] at (2){$\\sin$};\n\t\t\\node[left] at (3){$\\tan$};\n\t\t\\node[left] at (4){$\\log$};\n\t\t\\node[right] at (5){$\\cos$};\n\t\t\n\t\t%Contracting simplex\n\t\t\\foreach \\i in {1,2} {\\fill (\\i) circle (2pt);}\n\t\t\n\t\t%Arrow to next\n\t\t\\draw[->, line width=2] (1.5, 0) -- (2, 0);\n\t\t\n\t\t\\end{scope}\t\t\t\n\t\t\\begin{scope}[xshift=3.5cm]\n\t\t\\foreach \\i in {1, ..., 4}\n\t\t\\fill (\\i*360/4-45:0.7) coordinate (\\i) circle(1.5 pt);\n\t\t\n\t\t% Draw the 1-simplices\n\t\t\\draw (1)--(2)--(3)--(4);\n\t\t\n\t\t% Label the vertices\n\t\t\\node[right] at (1){$\\hat{2}$};\n\t\t\\node[left] at (2){$\\hat{4}$};\n\t\t\\node[left] at (3){$\\hat{1}$};\n\t\t\\node[right] at (4){$\\hat{5}$};\n\t\t\n\t\t\\end{scope}\n\t\t\\end{tikzpicture}\n\n\\end{document}", "\\documentclass[a4paper,oneside]{amsart}\n\\usepackage{tikz}\n\\usepackage{amssymb}\n\\usepackage{amsmath, mathtools}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}[scale=1.7, inner sep=2mm]\t\n\t\t\\begin{scope}\n\t\t\\foreach \\i in {1, ..., 5}\n\t\t\\fill (\\i*360/5-55:0.7) coordinate (\\i) circle(1.5 pt);\n\t\t\n\t\t% Draw the 1-simplices\n\t\t\\draw (1)--(2)--(3)--(4)--(5);\n\t\t\n\t\t% Label the vertices\n\t\t\\node[right] at (1){$\\cos$};\n\t\t\\node[above] at (2){$\\sin$};\n\t\t\\node[left] at (3){$\\tan$};\n\t\t\\node[left] at (4){$\\log$};\n\t\t\\node[right] at (5){$\\cos$};\n\t\t\n\t\t%Contracting simplex\n\t\t\\foreach \\i in {1,2} {\\fill (\\i) circle (2pt);}\n\t\t\n\t\t%Arrow to next\n\t\t\\draw[->, line width=2] (1.5, 0) -- (2, 0);\n\t\t\n\t\t\\end{scope}\t\t\t\n\t\t\\begin{scope}[xshift=3.5cm]\n\t\t\\foreach \\i in {1, ..., 4}\n\t\t\\fill (\\i*360/4-45:0.7) coordinate (\\i) circle(1.5 pt);\n\t\t\n\t\t% Draw the 1-simplices\n\t\t\\draw (1)--(2)--(3)--(4);\n\t\t\n\t\t% Label the vertices\n\t\t\\node[right] at (1){$\\hat{2}$};\n\t\t\\node[left] at (2){$\\hat{4}$};\n\t\t\\node[left] at (3){$\\hat{1}$};\n\t\t\\node[right] at (4){$\\hat{5}$};\n\t\t\n\t\t\\end{scope}\n\t\t\\end{tikzpicture}\n\n\\end{document}" ], "sample_images": [ "sample_32_0", "sample_32_1", "sample_32_2" ] }, { "tikz_code": "\\documentclass[a4paper,oneside]{amsart}\n\\usepackage{tikz}\n\\usepackage{amssymb}\n\\usepackage{amsmath, mathtools}\n\n\\begin{document}\n\n\\begin{tikzpicture}[scale=2, inner sep=2mm]\n\t\t\t\\coordinate (5) at (0,0);\n\t\t\t\\coordinate (3) at (1,0); \n\t\t\t\\coordinate (6) at (2, -0.4);\n\t\t\t\\coordinate (2) at (0.5, -0.7);\n\t\t\t\\coordinate (1) at (1.5, -0.7);\n\t\t\t\\coordinate (4) at (1.1, -1.4);\n\t\t\t\n\t\t\t\\coordinate (b1) at (1, 1);\n\t\t\t\n\t\t\t\\coordinate (01) at (0.6, -1.6);\n\t\t\t\\coordinate (02) at (0.1, -1.5);\n\t\t\t\\coordinate (03) at (-0.2, -1.3);\n\t\t\t\\coordinate\t(04) at (-0.3, -1.2);\n\t\t\t\\coordinate (05) at (-0.35, -1.07);\n\t\t\t\\coordinate (06) at (-0.4, -0.7);\n\t\t\t\\coordinate (07) at (-0.3, -0.3);\n\t\t\t\n\t\t\t\n\t\t\t% Fill to make it a 2-complex\n\t\t\t\\fill[lightgray, fill opacity=0.4] (5) -- (b1)--(6)--(3)--(2)--(5); \n\t\t\t\n\t\t\t% Draw the 1-simplices\n\t\t\t\\draw[thick] (5) -- (3) -- (6); \\draw[thick] (5) -- (2) -- (3)--(b1); \\draw[thick] (2) -- (4) -- (6) -- (b1)--(5);\n\t\t\t\n\t\t\t\n\t\t\t% Draw all of the vertices\n\t\t\t\\foreach \\i in {2,3, 4, 5, 6} {\\fill (\\i) circle (2pt);}\n\t\t\t\\fill (b1) circle (2pt);\n\t\t\t\\fill[magenta] (b1) circle (1.7pt); \\filldraw[magenta](2) circle (1.7pt);\n\t\t\t\\fill[cyan] (3) circle (1.7pt); \\fill[cyan] (4) circle (1.7pt);\n\t\t\t\\fill[green] (5) circle (1.7pt); \\filldraw[green] (6) circle (1.7pt);\n\t\t\t\n\t\t\t\n\t\t\t% Label the vertices\n\t\t\t\\draw (2)node[right] {$\\hat{2}$};\\draw (3)node[below] {$\\hat{3}$};\\draw (4)node[below] {$\\hat{4}$};\\draw (5)node[left] {$\\hat{5}$};\\draw (6)node[right] {$\\hat{6}$};\n\t\t\t\\draw (b1) node[right] {$\\hat{b}_0$};\n\t\t\t\n\t\t\t\\end{tikzpicture}\n\n\\end{document}", "original_image": "original_33", "generated_samples": [ "\\documentclass[a4paper,oneside]{amsart}\n\\usepackage{tikz}\n\\usepackage{amssymb}\n\\usepackage{amsmath, mathtools}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}[scale=2, inner sep=2mm]\n\t\t\t\\coordinate (5) at (0,0);\n\t\t\t\\coordinate (3) at (1,0); \n\t\t\t\\coordinate (6) at (2, -0.4);\n\t\t\t\\coordinate (2) at (0.5, -0.7);\n\t\t\t\\coordinate (1) at (1.5, -0.7);\n\t\t\t\\coordinate (4) at (1.1, -1.4);\n\t\t\t\n\t\t\t\\coordinate (b1) at (1, 1);\n\t\t\t\n\t\t\t\\coordinate (01) at (0.6, -1.6);\n\t\t\t\\coordinate (02) at (0.1, -1.5);\n\t\t\t\\coordinate (03) at (-0.2, -1.3);\n\t\t\t\\coordinate\t(04) at (-0.3, -1.2);\n\t\t\t\\coordinate (05) at (-0.35, -1.07);\n\t\t\t\\coordinate (06) at (-0.4, -0.7);\n\t\t\t\\coordinate (07) at (-0.3, -0.3);\n\t\t\t\n\t\t\t\n\t\t\t% Fill to make it a 2-complex\n\t\t\t\\fill[yellow!30, fill opacity=0.4] (5) -- (b1)--(6)--(3)--(2)--(5); \n\t\t\t\n\t\t\t% Draw the 1-simplices\n\t\t\t\\draw[thin] (5) -- (3) -- (6); \\draw[thin] (5) -- (2) -- (3)--(b1); \\draw[thick] (2) -- (4) -- (6) -- (b1)--(5);\n\t\t\t\n\t\t\t\n\t\t\t% Draw all of the vertices\n\t\t\t\\foreach \\i in {2,3, 4, 5, 6} {\\fill (\\i) circle (2pt);}\n\t\t\t\\fill (b1) circle (2pt);\n\t\t\t\\fill[red!15] (b1) circle (1.7pt); \\filldraw[cyan](2) circle (1.7pt);\n\t\t\t\\fill[green!27] (3) circle (1.7pt); \\fill[cyan!63] (4) circle (1.7pt);\n\t\t\t\\fill[black!96] (5) circle (1.7pt); \\filldraw[blue] (6) circle (1.7pt);\n\t\t\t\n\t\t\t\n\t\t\t% Label the vertices\n\t\t\t\\draw (2)node[right] {$\\hat{2}$};\\draw (3)node[below] {$\\hat{3}$};\\draw (4)node[below] {$\\hat{4}$};\\draw (5)node[left] {$\\hat{5}$};\\draw (6)node[right] {$\\hat{6}$};\n\t\t\t\n\t\t\t\\end{tikzpicture}\n\n\\end{document}", "\\documentclass[a4paper,oneside]{amsart}\n\\usepackage{tikz}\n\\usepackage{amssymb}\n\\usepackage{amsmath, mathtools}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}[scale=2, inner sep=2mm]\n\t\t\t\\coordinate (5) at (0,0);\n\t\t\t\\coordinate (3) at (1,0); \n\t\t\t\\coordinate (6) at (2, -0.4);\n\t\t\t\\coordinate (2) at (0.5, -0.7);\n\t\t\t\\coordinate (1) at (1.5, -0.7);\n\t\t\t\\coordinate (4) at (1.1, -1.4);\n\t\t\t\n\t\t\t\\coordinate (b1) at (1, 1);\n\t\t\t\n\t\t\t\\coordinate (01) at (0.6, -1.6);\n\t\t\t\\coordinate (02) at (0.1, -1.5);\n\t\t\t\\coordinate (03) at (-0.2, -1.3);\n\t\t\t\\coordinate\t(04) at (-0.3, -1.2);\n\t\t\t\\coordinate (05) at (-0.35, -1.07);\n\t\t\t\\coordinate (06) at (-0.4, -0.7);\n\t\t\t\\coordinate (07) at (-0.3, -0.3);\n\t\t\t\n\t\t\t\n\t\t\t% Fill to make it a 2-complex\n\t\t\t\\fill[purple!92, fill opacity=0.4] (5) -- (b1)--(6)--(3)--(2)--(5); \n\t\t\t\n\t\t\t% Draw the 1-simplices\n\t\t\t\\draw[thick] (5) -- (3) -- (6); \\draw[thick] (5) -- (2) -- (3)--(b1); \\draw[thin] (2) -- (4) -- (6) -- (b1)--(5);\n\t\t\t\n\t\t\t\n\t\t\t% Draw all of the vertices\n\t\t\t\\foreach \\i in {2,3, 4, 5, 6} {\\fill (\\i) circle (2pt);}\n\t\t\t\\fill (b1) circle (2pt);\n\t\t\t\\fill[black!3] (b1) circle (1.7pt); \\filldraw[cyan](2) circle (1.7pt);\n\t\t\t\\fill[orange!6] (3) circle (1.7pt); \\fill[orange!15] (4) circle (1.7pt);\n\t\t\t\\fill[black!79] (5) circle (1.7pt); \\filldraw[purple] (6) circle (1.7pt);\n\t\t\t\n\t\t\t\n\t\t\t% Label the vertices\n\t\t\t\\draw (2)node[right] {$\\hat{2}$};\\draw (3)node[below] {$\\hat{3}$};\\draw (4)node[below] {$\\hat{4}$};\\draw (5)node[left] {$\\hat{5}$};\\draw (6)node[right] {$\\hat{6}$};\n\t\t\t\\draw (b1) node[right] {$\\hat{b}_0$};\n\t\t\t\n\t\t\t\\end{tikzpicture}\n\n\\end{document}", "\\documentclass[a4paper,oneside]{amsart}\n\\usepackage{tikz}\n\\usepackage{amssymb}\n\\usepackage{amsmath, mathtools}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}[scale=2, inner sep=2mm]\n\t\t\t\\coordinate (5) at (0,0);\n\t\t\t\\coordinate (3) at (1,0); \n\t\t\t\\coordinate (6) at (2, -0.4);\n\t\t\t\\coordinate (2) at (0.5, -0.7);\n\t\t\t\\coordinate (1) at (1.5, -0.7);\n\t\t\t\\coordinate (4) at (1.1, -1.4);\n\t\t\t\n\t\t\t\\coordinate (b1) at (1, 1);\n\t\t\t\n\t\t\t\\coordinate (01) at (0.6, -1.6);\n\t\t\t\\coordinate (02) at (0.1, -1.5);\n\t\t\t\\coordinate (03) at (-0.2, -1.3);\n\t\t\t\\coordinate\t(04) at (-0.3, -1.2);\n\t\t\t\\coordinate (05) at (-0.35, -1.07);\n\t\t\t\\coordinate (06) at (-0.4, -0.7);\n\t\t\t\\coordinate (07) at (-0.3, -0.3);\n\t\t\t\n\t\t\t\n\t\t\t% Fill to make it a 2-complex\n\t\t\t\\fill[black!58, fill opacity=0.4] (5) -- (b1)--(6)--(3)--(2)--(5); \n\t\t\t\n\t\t\t% Draw the 1-simplices\n\t\t\t\n\t\t\t\n\t\t\t% Draw all of the vertices\n\t\t\t\\foreach \\i in {2,3, 4, 5, 6} {\\fill (\\i) circle (2pt);}\n\t\t\t\\fill (b1) circle (2pt);\n\t\t\t\\fill[cyan!3] (b1) circle (1.7pt); \\filldraw[cyan](2) circle (1.7pt);\n\t\t\t\\fill[brown!3] (3) circle (1.7pt); \\fill[brown!67] (4) circle (1.7pt);\n\t\t\t\\fill[red!19] (5) circle (1.7pt); \\filldraw[black] (6) circle (1.7pt);\n\t\t\t\n\t\t\t\n\t\t\t% Label the vertices\n\t\t\t\\draw (2)node[right] {$\\hat{2}$};\\draw (3)node[below] {$\\hat{3}$};\\draw (4)node[below] {$\\hat{4}$};\\draw (5)node[left] {$\\hat{5}$};\\draw (6)node[right] {$\\hat{6}$};\n\t\t\t\\draw (b1) node[right] {$\\hat{b}_0$};\n\t\t\t\n\t\t\t\\end{tikzpicture}\n\n\\end{document}" ], "sample_images": [ "sample_33_0", "sample_33_1", "sample_33_2" ] }, { "tikz_code": "\\documentclass[a4paper,oneside]{amsart}\n\\usepackage{tikz}\n\\usepackage{amssymb}\n\\usepackage{amsmath, mathtools}\n\n\\begin{document}\n\n\\begin{tikzpicture}[scale=1.3, inner sep=2mm]\n\t\t\t\t\\coordinate (bottom) at (0, 0);\n\t\t\t\t\\coordinate (top) at (0, 3);\n\t\t\t\t\n\t\t\t\t\\coordinate (3) at (0,0);\n\t\t\t\t\\coordinate (5) at (1,0);\n\t\t\t\t\\coordinate (6) at (0,1);\n\t\t\t\t\\coordinate (2) at (1,1);\n\t\t\t\t\\coordinate (4) at (0,2);\n\t\t\t\t\\coordinate (1) at (-1,-1);\n\t\t\t\t\n\t\t\t\t\\fill[white] (top) -- (bottom);\n\t\t\t\t\n\t\t\t\t% Fill to make it a 2-complex\n\t\t\t\t\\fill[lightgray, fill opacity=0.4] (1) to [out=90,in=-135] (4) -- (2)--(6) --(3);\n\t\t\t\t \\fill[lightgray, fill opacity=0.4] (1) to [out=0,in=-140] (5) -- (3);\n\t\t\t\t\t\t\t\t\n\t\t\t\t% Draw the edges\n\t\t\t\t\\draw[thick] (1) -- (3) -- (5) -- (2) --(4) -- (6) -- (3);\n\t\t\t\t\\draw[thick] (1) to [out=90,in=-135] (4);\n\t\t\t\t\\draw[thick] (1) to [out=0,in=-140] (5);\n\t\t\t\t\\draw[thick] (1) -- (6);\n\t\t\t\t\\draw[thick] (2)--(6);\n\t\t\t\t\n\t\t\t\t% Draw all of the vertices\n\t\t\t\t\\foreach \\i in {1, ..., 6} {\\fill (\\i) circle (3pt);}\n\t\t\t\t\\foreach \\i in {1,2} {\\fill[green] (\\i) circle (2.5pt);}\n\t\t\t\t\\foreach \\i in {3,4} {\\fill[magenta] (\\i) circle (2.5pt);}\n\t\t\t\t\\foreach \\i in {5,6} {\\fill[cyan] (\\i) circle (2.5pt);}\n\t\t\t\t\n\t\t\t\t% Label the vertices\n\t\t\t\t\\draw (1) node[left] {$a$};\n\t\t\t\t\\draw (2) node[right] {$b$};\n\t\t\t\t\\draw (3) node[below] {$c$};\n\t\t\t\t\\draw (4) node[right] {$d$};\n\t\t\t\t\\draw (5) node[right] {$e$};\n\t\t\t\t\\draw (6) node[left] {$f$};\n\t\t\t\t\\end{tikzpicture}\n\n\\end{document}", "original_image": "original_34", "generated_samples": [ "\\documentclass[a4paper,oneside]{amsart}\n\\usepackage{tikz}\n\\usepackage{amssymb}\n\\usepackage{amsmath, mathtools}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}[scale=1.3, inner sep=2mm]\n\t\t\t\t\\coordinate (bottom) at (0, 0);\n\t\t\t\t\\coordinate (top) at (0, 3);\n\t\t\t\t\n\t\t\t\t\\coordinate (3) at (0,0);\n\t\t\t\t\\coordinate (5) at (1,0);\n\t\t\t\t\\coordinate (6) at (0,1);\n\t\t\t\t\\coordinate (2) at (1,1);\n\t\t\t\t\\coordinate (4) at (0,2);\n\t\t\t\t\\coordinate (1) at (-1,-1);\n\t\t\t\t\n\t\t\t\t\\fill[blue!59] (top) -- (bottom);\n\t\t\t\t\n\t\t\t\t% Fill to make it a 2-complex\n\t\t\t\t\\fill[yellow!87, fill opacity=0.4] (1) to [out=90,in=-135] (4) -- (2)--(6) --(3);\n\t\t\t\t \\fill[purple!20, fill opacity=0.4] (1) to [out=0,in=-140] (5) -- (3);\n\t\t\t\t\t\t\t\t\n\t\t\t\t% Draw the edges\n\t\t\t\t\\draw[thin] (1) -- (3) -- (5) -- (2) --(4) -- (6) -- (3);\n\t\t\t\t\\draw[thin] (1) to [out=90,in=-135] (4);\n\t\t\t\t\\draw[thin] (1) -- (6);\n\t\t\t\t\\draw[thick] (2)--(6);\n\t\t\t\t\n\t\t\t\t% Draw all of the vertices\n\t\t\t\t\\foreach \\i in {1, ..., 6} {\\fill (\\i) circle (3pt);}\n\t\t\t\t\\foreach \\i in {1,2} {\\fill[red!47] (\\i) circle (2.5pt);}\n\t\t\t\t\\foreach \\i in {3,4} {\\fill[blue!90] (\\i) circle (2.5pt);}\n\t\t\t\t\\foreach \\i in {5,6} {\\fill[cyan!4] (\\i) circle (2.5pt);}\n\t\t\t\t\n\t\t\t\t% Label the vertices\n\t\t\t\t\\draw (1) node[left] {$a$};\n\t\t\t\t\\draw (2) node[right] {$b$};\n\t\t\t\t\\draw (4) node[right] {$d$};\n\t\t\t\t\\draw (5) node[right] {$e$};\n\t\t\t\t\\draw (6) node[left] {$f$};\n\t\t\t\t\\end{tikzpicture}\n\n\\end{document}", "\\documentclass[a4paper,oneside]{amsart}\n\\usepackage{tikz}\n\\usepackage{amssymb}\n\\usepackage{amsmath, mathtools}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}[scale=1.3, inner sep=2mm]\n\t\t\t\t\\coordinate (bottom) at (0, 0);\n\t\t\t\t\\coordinate (top) at (0, 3);\n\t\t\t\t\n\t\t\t\t\\coordinate (3) at (0,0);\n\t\t\t\t\\coordinate (5) at (1,0);\n\t\t\t\t\\coordinate (6) at (0,1);\n\t\t\t\t\\coordinate (2) at (1,1);\n\t\t\t\t\\coordinate (4) at (0,2);\n\t\t\t\t\\coordinate (1) at (-1,-1);\n\t\t\t\t\n\t\t\t\t\\fill[blue!73] (top) -- (bottom);\n\t\t\t\t\n\t\t\t\t% Fill to make it a 2-complex\n\t\t\t\t\\fill[red!62, fill opacity=0.4] (1) to [out=90,in=-135] (4) -- (2)--(6) --(3);\n\t\t\t\t \\fill[red!96, fill opacity=0.4] (1) to [out=0,in=-140] (5) -- (3);\n\t\t\t\t\t\t\t\t\n\t\t\t\t% Draw the edges\n\t\t\t\t\\draw[thick] (1) -- (3) -- (5) -- (2) --(4) -- (6) -- (3);\n\t\t\t\t\\draw[thick] (1) to [out=90,in=-135] (4);\n\t\t\t\t\\draw[thin] (1) to [out=0,in=-140] (5);\n\t\t\t\t\\draw[thin] (1) -- (6);\n\t\t\t\t\n\t\t\t\t% Draw all of the vertices\n\t\t\t\t\\foreach \\i in {1, ..., 6} {\\fill (\\i) circle (3pt);}\n\t\t\t\t\\foreach \\i in {1,2} {\\fill[cyan!32] (\\i) circle (2.5pt);}\n\t\t\t\t\\foreach \\i in {3,4} {\\fill[orange!31] (\\i) circle (2.5pt);}\n\t\t\t\t\\foreach \\i in {5,6} {\\fill[green!79] (\\i) circle (2.5pt);}\n\t\t\t\t\n\t\t\t\t% Label the vertices\n\t\t\t\t\\draw (1) node[left] {$a$};\n\t\t\t\t\\draw (2) node[right] {$b$};\n\t\t\t\t\\draw (4) node[right] {$d$};\n\t\t\t\t\\draw (5) node[right] {$e$};\n\t\t\t\t\\draw (6) node[left] {$f$};\n\t\t\t\t\\end{tikzpicture}\n\n\\end{document}", "\\documentclass[a4paper,oneside]{amsart}\n\\usepackage{tikz}\n\\usepackage{amssymb}\n\\usepackage{amsmath, mathtools}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}[scale=1.3, inner sep=2mm]\n\t\t\t\t\\coordinate (bottom) at (0, 0);\n\t\t\t\t\\coordinate (top) at (0, 3);\n\t\t\t\t\n\t\t\t\t\\coordinate (3) at (0,0);\n\t\t\t\t\\coordinate (5) at (1,0);\n\t\t\t\t\\coordinate (6) at (0,1);\n\t\t\t\t\\coordinate (2) at (1,1);\n\t\t\t\t\\coordinate (4) at (0,2);\n\t\t\t\t\\coordinate (1) at (-1,-1);\n\t\t\t\t\n\t\t\t\t\\fill[black!37] (top) -- (bottom);\n\t\t\t\t\n\t\t\t\t% Fill to make it a 2-complex\n\t\t\t\t\\fill[purple!86, fill opacity=0.4] (1) to [out=90,in=-135] (4) -- (2)--(6) --(3);\n\t\t\t\t \\fill[cyan!67, fill opacity=0.4] (1) to [out=0,in=-140] (5) -- (3);\n\t\t\t\t\t\t\t\t\n\t\t\t\t% Draw the edges\n\t\t\t\t\\draw[thin] (1) -- (3) -- (5) -- (2) --(4) -- (6) -- (3);\n\t\t\t\t\\draw[thick] (1) to [out=90,in=-135] (4);\n\t\t\t\t\\draw[thick] (1) to [out=0,in=-140] (5);\n\t\t\t\t\\draw[thin] (1) -- (6);\n\t\t\t\t\\draw[thick] (2)--(6);\n\t\t\t\t\n\t\t\t\t% Draw all of the vertices\n\t\t\t\t\\foreach \\i in {1, ..., 6} {\\fill (\\i) circle (3pt);}\n\t\t\t\t\\foreach \\i in {1,2} {\\fill[yellow!28] (\\i) circle (2.5pt);}\n\t\t\t\t\\foreach \\i in {3,4} {\\fill[black!100] (\\i) circle (2.5pt);}\n\t\t\t\t\\foreach \\i in {5,6} {\\fill[red!35] (\\i) circle (2.5pt);}\n\t\t\t\t\n\t\t\t\t% Label the vertices\n\t\t\t\t\\draw (1) node[left] {$a$};\n\t\t\t\t\\draw (2) node[right] {$b$};\n\t\t\t\t\\draw (3) node[below] {$c$};\n\t\t\t\t\\draw (4) node[right] {$d$};\n\t\t\t\t\\draw (5) node[right] {$e$};\n\t\t\t\t\\draw (6) node[left] {$f$};\n\t\t\t\t\\end{tikzpicture}\n\n\\end{document}" ], "sample_images": [ "sample_34_0", "sample_34_1", "sample_34_2" ] }, { "tikz_code": "\\documentclass[a4paper,oneside]{amsart}\n\\usepackage{tikz}\n\\usepackage{amssymb}\n\\usepackage{amsmath, mathtools}\n\n\\begin{document}\n\n\\begin{tikzpicture}[scale=2, inner sep=2mm]\n\t\t\t\\coordinate (b1) at (0,-0.2);\n\t\t\t\\coordinate (6) at (0.8,-0.2);\n\t\t\t\\coordinate (5) at (0,0.7);\n\t\t\t\\coordinate (4) at (0.8,0.7);\n\t\t\t\\coordinate (2) at (0,1.6);\n\t\t\t\\coordinate (3) at (-0.7,-0.7);\n\t\t\t\\coordinate (bottom) at (1.1, -1);\n\t\t\t\\coordinate (top) at (1, 1.6);\n\t\t\t\n\t\t\t\\fill[white] (top) -- (2)-- (bottom);\n\t\t\t\n\t\t\t% Fill to make it a 2-complex\n\t\t\t\\fill[lightgray, fill opacity=0.4] (3) to [out=90,in=-135] (2) --(5) --(b1); \n\t\t\t\\fill[lightgray, fill opacity=0.4] (2)--(5)--(4);\n\t\t\t\n\t\t\t\\draw[thick] (3)node[left] {$\\hat{5}$} -- (b1) node[below] {\\ \\ \\ $\\hat{2}$} -- (6)node[right] {$\\hat{4}$} -- (4) node[right] {$\\hat{6}$} --(2) node[right] {$\\hat{b}_0$} -- (5) node[inner sep=1mm, below] {\\ \\ \\ \\ $\\hat{3}$}-- (b1);\n\t\t\t\\draw[thick] (3) to [out=90,in=-135] (2);\n\t\t\t\\draw[thick] (3) -- (5)--(4);\n\t\t\t\n\t\t\t% Draw all of the vertices\n\t\t\t\\foreach \\i in {2,3, 4, 5, 6} {\\fill (\\i) circle (2pt);}\n\t\t\t\\fill (b1) circle (2pt);\n\t\t\t\\fill[magenta] (b1) circle (1.7pt);\\fill[cyan] (6) circle (1.7pt);\\fill[cyan] (5) circle (1.7pt);\n\t\t\t\\fill[green] (4) circle (1.7pt);\\fill[magenta] (2) circle (1.7pt);\\fill[green] (3) circle (1.7pt);\n\t\t\t\\end{tikzpicture}\n\n\\end{document}", "original_image": "original_35", "generated_samples": [ "\\documentclass[a4paper,oneside]{amsart}\n\\usepackage{tikz}\n\\usepackage{amssymb}\n\\usepackage{amsmath, mathtools}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}[scale=2, inner sep=2mm]\n\t\t\t\\coordinate (b1) at (0,-0.2);\n\t\t\t\\coordinate (6) at (0.8,-0.2);\n\t\t\t\\coordinate (5) at (0,0.7);\n\t\t\t\\coordinate (4) at (0.8,0.7);\n\t\t\t\\coordinate (2) at (0,1.6);\n\t\t\t\\coordinate (3) at (-0.7,-0.7);\n\t\t\t\\coordinate (bottom) at (1.1, -1);\n\t\t\t\\coordinate (top) at (1, 1.6);\n\t\t\t\n\t\t\t\\fill[purple!85] (top) -- (2)-- (bottom);\n\t\t\t\n\t\t\t% Fill to make it a 2-complex\n\t\t\t\\fill[green!63, fill opacity=0.4] (3) to [out=90,in=-135] (2) --(5) --(b1); \n\t\t\t\\fill[red!36, fill opacity=0.4] (2)--(5)--(4);\n\t\t\t\n\t\t\t\\draw[thin] (3)node[left] {$\\hat{5}$} -- (b1) node[below] {\\ \\ \\ $\\hat{2}$} -- (6)node[right] {$\\hat{4}$} -- (4) node[right] {$\\hat{6}$} --(2) node[right] {$\\hat{b}_0$} -- (5) node[inner sep=1mm, below] {\\ \\ \\ \\ $\\hat{3}$}-- (b1);\n\t\t\t\\draw[thin] (3) to [out=90,in=-135] (2);\n\t\t\t\n\t\t\t% Draw all of the vertices\n\t\t\t\\foreach \\i in {2,3, 4, 5, 6} {\\fill (\\i) circle (2pt);}\n\t\t\t\\fill (b1) circle (2pt);\n\t\t\t\\fill[brown!48] (b1) circle (1.7pt);\\fill[purple!95] (6) circle (1.7pt);\\fill[purple!85] (5) circle (1.7pt);\n\t\t\t\\fill[orange!39] (4) circle (1.7pt);\\fill[cyan!49] (2) circle (1.7pt);\\fill[brown!93] (3) circle (1.7pt);\n\t\t\t\\end{tikzpicture}\n\n\\end{document}", "\\documentclass[a4paper,oneside]{amsart}\n\\usepackage{tikz}\n\\usepackage{amssymb}\n\\usepackage{amsmath, mathtools}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}[scale=2, inner sep=2mm]\n\t\t\t\\coordinate (b1) at (0,-0.2);\n\t\t\t\\coordinate (6) at (0.8,-0.2);\n\t\t\t\\coordinate (5) at (0,0.7);\n\t\t\t\\coordinate (4) at (0.8,0.7);\n\t\t\t\\coordinate (2) at (0,1.6);\n\t\t\t\\coordinate (3) at (-0.7,-0.7);\n\t\t\t\\coordinate (bottom) at (1.1, -1);\n\t\t\t\\coordinate (top) at (1, 1.6);\n\t\t\t\n\t\t\t\\fill[black!37] (top) -- (2)-- (bottom);\n\t\t\t\n\t\t\t% Fill to make it a 2-complex\n\t\t\t\\fill[purple!61, fill opacity=0.4] (3) to [out=90,in=-135] (2) --(5) --(b1); \n\t\t\t\\fill[black!17, fill opacity=0.4] (2)--(5)--(4);\n\t\t\t\n\t\t\t\\draw[thick] (3)node[left] {$\\hat{5}$} -- (b1) node[below] {\\ \\ \\ $\\hat{2}$} -- (6)node[right] {$\\hat{4}$} -- (4) node[right] {$\\hat{6}$} --(2) node[right] {$\\hat{b}_0$} -- (5) node[inner sep=1mm, below] {\\ \\ \\ \\ $\\hat{3}$}-- (b1);\n\t\t\t\\draw[thick] (3) to [out=90,in=-135] (2);\n\t\t\t\n\t\t\t% Draw all of the vertices\n\t\t\t\\foreach \\i in {2,3, 4, 5, 6} {\\fill (\\i) circle (2pt);}\n\t\t\t\\fill (b1) circle (2pt);\n\t\t\t\\fill[green!35] (b1) circle (1.7pt);\\fill[yellow!36] (6) circle (1.7pt);\\fill[purple!4] (5) circle (1.7pt);\n\t\t\t\\fill[brown!10] (4) circle (1.7pt);\\fill[blue!22] (2) circle (1.7pt);\\fill[purple!89] (3) circle (1.7pt);\n\t\t\t\\end{tikzpicture}\n\n\\end{document}", "\\documentclass[a4paper,oneside]{amsart}\n\\usepackage{tikz}\n\\usepackage{amssymb}\n\\usepackage{amsmath, mathtools}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}[scale=2, inner sep=2mm]\n\t\t\t\\coordinate (b1) at (0,-0.2);\n\t\t\t\\coordinate (6) at (0.8,-0.2);\n\t\t\t\\coordinate (5) at (0,0.7);\n\t\t\t\\coordinate (4) at (0.8,0.7);\n\t\t\t\\coordinate (2) at (0,1.6);\n\t\t\t\\coordinate (3) at (-0.7,-0.7);\n\t\t\t\\coordinate (bottom) at (1.1, -1);\n\t\t\t\\coordinate (top) at (1, 1.6);\n\t\t\t\n\t\t\t\\fill[brown!48] (top) -- (2)-- (bottom);\n\t\t\t\n\t\t\t% Fill to make it a 2-complex\n\t\t\t\\fill[black!10, fill opacity=0.4] (3) to [out=90,in=-135] (2) --(5) --(b1); \n\t\t\t\\fill[blue!35, fill opacity=0.4] (2)--(5)--(4);\n\t\t\t\n\t\t\t\\draw[thin] (3) -- (5)--(4);\n\t\t\t\n\t\t\t% Draw all of the vertices\n\t\t\t\\foreach \\i in {2,3, 4, 5, 6} {\\fill (\\i) circle (2pt);}\n\t\t\t\\fill (b1) circle (2pt);\n\t\t\t\\fill[black!55] (b1) circle (1.7pt);\\fill[brown!49] (6) circle (1.7pt);\\fill[purple!8] (5) circle (1.7pt);\n\t\t\t\\fill[orange!85] (4) circle (1.7pt);\\fill[purple!59] (2) circle (1.7pt);\\fill[black!79] (3) circle (1.7pt);\n\t\t\t\\end{tikzpicture}\n\n\\end{document}" ], "sample_images": [ "sample_35_0", "sample_35_1", "sample_35_2" ] }, { "tikz_code": "\\documentclass[a4paper,oneside]{amsart}\n\\usepackage{tikz}\n\\usepackage{amssymb}\n\\usepackage{amsmath, mathtools}\n\n\\begin{document}\n\n\\begin{tikzpicture}\t[scale=1.2, inner sep=3mm]\n\t\t\t\t\\foreach \\i in {1, ..., 6}\n\t\t\t\t\\fill (\\i*360/6:2) coordinate (\\i) circle(2 pt);\n\t\t\t\t\n\t\t\t\t\\foreach \\i in {7, ..., 12}\n\t\t\t\t\\fill (\\i*360/6:1) coordinate (\\i) circle(2 pt);\n\n\t\t\t\t\\fill (0,0) coordinate (a) circle(2pt);\n\t\t\t\t\n\t\t\t\t\\fill[lightgray, fill opacity=0.4](1) --(2)--(3) --(4)--(5)--(6)--(1);\n\t\t\t\t\n\t\t\t\t\\draw[dashed] (1) --(2)--(3) --(4)--(5)--(6)--(1);\n\t\t\t\t\\draw[dashed] (7) --(8)--(9) --(10)--(11)--(12)--(7);\n\t\t\t\t\\draw[dashed] (1)--(8)--(3)--(10)--(5)--(12)--(1);\n\t\t\t\t\\draw[dashed] (1)--(7)--(a)--(10)--(4);\n\t\t\t\t\\draw[dashed] (2)--(8)--(a)--(11)--(5);\n\t\t\t\t\\draw[dashed] (3)--(9)--(a)--(12)--(6);\n\t\t\t\t\n\t\t\t\t\\draw[very thick] (1)--(8)--(9)--(a)--(10)--(5)--(6)--(1);\n\t\t\t\t\\draw[very thick] (8)--(a)--(9);\n\t\t\t\t\\draw[very thick] (10)--(11)--(5)--(12)--(a);\n\t\t\t\t\\draw[very thick] (1)--(12)--(6);\n\t\t\t\t\\draw[very thick] (11)--(12);\n\n\t\t\t\t\\draw[ultra thick, magenta] (9)--(10); \n\t\t\t\t\\draw[ultra thick, cyan] (a)--(11);\n\t\t\t\t\\draw[ultra thick, green] (5)--(6); \n\t\t\t\t\n\t\t\t\t% Label the vertices\n\t\t\t\t\\node[right] at (1){$v_{134}$};\n\t\t\t\t\\node[left] at (2){$v_{14}$};\n\t\t\t\t\\node[left] at (3){$v_{124}$};\n\t\t\t\t\\node[left] at (4){$v_{24}$};\n\t\t\t\t\\node[right] at (5){$v_{234}$};\n\t\t\t\t\\node[right] at (6){$v_{34}$};\n\t\t\t\t\\node[below left, inner sep=1.5mm] at (7){$v_{13}$};\n\t\t\t\t\\node[left] at (8){$v_{1}$};\n\t\t\t\t\\node[below left, inner sep=1.5mm] at (9){$v_{12}$};\n\t\t\t\t\\node[left] at (10){$v_{2}$};\n\t\t\t\t\\node[below left, inner sep=1.5mm] at (11){$v_{23}$};\n\t\t\t\t\\node[below right, inner sep=1.5mm] at (12){$v_{3}$};\n\t\t\t\t\\node[below left, inner sep=1.5mm] at (a){$v_{123}$};\n\n\t\t\t\t% Draw all of the vertices\n\t\t\t\t\\foreach \\i in {1, ..., 12} {\\fill (\\i) circle (2pt);}\n\t\t\t\t\\foreach \\i in {1, 5, 6, 8, 9, 10, 11, 12, a} {\\fill (\\i) circle (4pt);}\n\t\t\t\t%Colour vertices\n\t\t\t\t\\foreach \\i in {8, 5, 6} {\\fill[green] (\\i) circle (3.5pt);}\n\t\t\t\t\\foreach \\i in {9,10, 12} {\\fill[magenta] (\\i) circle (3.5pt);}\n\t\t\t\t\\foreach \\i in {a, 11, 1} {\\fill[cyan] (\\i) circle (3.5pt);}\n\t\t\t\t\t\t\t\t\n\t\t\t\t\\end{tikzpicture}\n\n\\end{document}", "original_image": "original_36", "generated_samples": [ "\\documentclass[a4paper,oneside]{amsart}\n\\usepackage{tikz}\n\\usepackage{amssymb}\n\\usepackage{amsmath, mathtools}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}\t[scale=1.2, inner sep=3mm]\n\t\t\t\t\\foreach \\i in {1, ..., 6}\n\t\t\t\t\\fill (\\i*360/6:2) coordinate (\\i) circle(2 pt);\n\t\t\t\t\n\t\t\t\t\\foreach \\i in {7, ..., 12}\n\t\t\t\t\\fill (\\i*360/6:1) coordinate (\\i) circle(2 pt);\n\n\t\t\t\t\\fill (0,0) coordinate (a) circle(2pt);\n\t\t\t\t\n\t\t\t\t\\fill[purple!5, fill opacity=0.4](1) --(2)--(3) --(4)--(5)--(6)--(1);\n\t\t\t\t\n\t\t\t\t\\draw[dotted] (1) --(2)--(3) --(4)--(5)--(6)--(1);\n\t\t\t\t\\draw[dotted] (7) --(8)--(9) --(10)--(11)--(12)--(7);\n\t\t\t\t\\draw[dotted] (1)--(8)--(3)--(10)--(5)--(12)--(1);\n\t\t\t\t\\draw[dotted] (1)--(7)--(a)--(10)--(4);\n\t\t\t\t\\draw[dotted] (2)--(8)--(a)--(11)--(5);\n\t\t\t\t\\draw[dotted] (3)--(9)--(a)--(12)--(6);\n\t\t\t\t\n\t\t\t\t\\draw[thin] (10)--(11)--(5)--(12)--(a);\n\t\t\t\t\\draw[thick] (11)--(12);\n\n\t\t\t\t\\draw[ultra thin, orange] (9)--(10); \n\t\t\t\t\\draw[ultra thin, purple] (a)--(11);\n\t\t\t\t\\draw[ultra thick, red] (5)--(6); \n\t\t\t\t\n\t\t\t\t% Label the vertices\n\t\t\t\t\\node[right] at (1){$v_{134}$};\n\t\t\t\t\\node[left] at (2){$v_{14}$};\n\t\t\t\t\\node[left] at (3){$v_{124}$};\n\t\t\t\t\\node[left] at (4){$v_{24}$};\n\t\t\t\t\\node[right] at (5){$v_{234}$};\n\t\t\t\t\\node[right] at (6){$v_{34}$};\n\t\t\t\t\\node[below left, inner sep=1.5mm] at (7){$v_{13}$};\n\t\t\t\t\\node[left] at (8){$v_{1}$};\n\t\t\t\t\\node[below left, inner sep=1.5mm] at (9){$v_{12}$};\n\t\t\t\t\\node[left] at (10){$v_{2}$};\n\t\t\t\t\\node[below left, inner sep=1.5mm] at (11){$v_{23}$};\n\t\t\t\t\\node[below right, inner sep=1.5mm] at (12){$v_{3}$};\n\t\t\t\t\\node[below left, inner sep=1.5mm] at (a){$v_{123}$};\n\n\t\t\t\t% Draw all of the vertices\n\t\t\t\t\\foreach \\i in {1, ..., 12} {\\fill (\\i) circle (2pt);}\n\t\t\t\t\\foreach \\i in {1, 5, 6, 8, 9, 10, 11, 12, a} {\\fill (\\i) circle (4pt);}\n\t\t\t\t%Colour vertices\n\t\t\t\t\\foreach \\i in {8, 5, 6} {\\fill[green!30] (\\i) circle (3.5pt);}\n\t\t\t\t\\foreach \\i in {9,10, 12} {\\fill[red!68] (\\i) circle (3.5pt);}\n\t\t\t\t\\foreach \\i in {a, 11, 1} {\\fill[red!49] (\\i) circle (3.5pt);}\n\t\t\t\t\t\t\t\t\n\t\t\t\t\\end{tikzpicture}\n\n\\end{document}", "\\documentclass[a4paper,oneside]{amsart}\n\\usepackage{tikz}\n\\usepackage{amssymb}\n\\usepackage{amsmath, mathtools}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}\t[scale=1.2, inner sep=3mm]\n\t\t\t\t\\foreach \\i in {1, ..., 6}\n\t\t\t\t\\fill (\\i*360/6:2) coordinate (\\i) circle(2 pt);\n\t\t\t\t\n\t\t\t\t\\foreach \\i in {7, ..., 12}\n\t\t\t\t\\fill (\\i*360/6:1) coordinate (\\i) circle(2 pt);\n\n\t\t\t\t\\fill (0,0) coordinate (a) circle(2pt);\n\t\t\t\t\n\t\t\t\t\\fill[cyan!4, fill opacity=0.4](1) --(2)--(3) --(4)--(5)--(6)--(1);\n\t\t\t\t\n\t\t\t\t\\draw[dotted] (1) --(2)--(3) --(4)--(5)--(6)--(1);\n\t\t\t\t\\draw[dotted] (1)--(8)--(3)--(10)--(5)--(12)--(1);\n\t\t\t\t\\draw[dotted] (2)--(8)--(a)--(11)--(5);\n\t\t\t\t\\draw[dotted] (3)--(9)--(a)--(12)--(6);\n\t\t\t\t\n\t\t\t\t\\draw[thin] (10)--(11)--(5)--(12)--(a);\n\t\t\t\t\\draw[thick] (1)--(12)--(6);\n\t\t\t\t\\draw[thin] (11)--(12);\n\n\t\t\t\t\\draw[ultra thick, yellow] (9)--(10); \n\t\t\t\t\\draw[ultra thin, yellow] (a)--(11);\n\t\t\t\t\\draw[ultra thick, blue] (5)--(6); \n\t\t\t\t\n\t\t\t\t% Label the vertices\n\t\t\t\t\\node[right] at (1){$v_{134}$};\n\t\t\t\t\\node[left] at (2){$v_{14}$};\n\t\t\t\t\\node[left] at (3){$v_{124}$};\n\t\t\t\t\\node[left] at (4){$v_{24}$};\n\t\t\t\t\\node[right] at (5){$v_{234}$};\n\t\t\t\t\\node[right] at (6){$v_{34}$};\n\t\t\t\t\\node[below left, inner sep=1.5mm] at (7){$v_{13}$};\n\t\t\t\t\\node[left] at (8){$v_{1}$};\n\t\t\t\t\\node[below left, inner sep=1.5mm] at (9){$v_{12}$};\n\t\t\t\t\\node[left] at (10){$v_{2}$};\n\t\t\t\t\\node[below left, inner sep=1.5mm] at (11){$v_{23}$};\n\t\t\t\t\\node[below right, inner sep=1.5mm] at (12){$v_{3}$};\n\t\t\t\t\\node[below left, inner sep=1.5mm] at (a){$v_{123}$};\n\n\t\t\t\t% Draw all of the vertices\n\t\t\t\t\\foreach \\i in {1, ..., 12} {\\fill (\\i) circle (2pt);}\n\t\t\t\t\\foreach \\i in {1, 5, 6, 8, 9, 10, 11, 12, a} {\\fill (\\i) circle (4pt);}\n\t\t\t\t%Colour vertices\n\t\t\t\t\\foreach \\i in {8, 5, 6} {\\fill[orange!74] (\\i) circle (3.5pt);}\n\t\t\t\t\\foreach \\i in {9,10, 12} {\\fill[purple!100] (\\i) circle (3.5pt);}\n\t\t\t\t\\foreach \\i in {a, 11, 1} {\\fill[orange!94] (\\i) circle (3.5pt);}\n\t\t\t\t\t\t\t\t\n\t\t\t\t\\end{tikzpicture}\n\n\\end{document}", "\\documentclass[a4paper,oneside]{amsart}\n\\usepackage{tikz}\n\\usepackage{amssymb}\n\\usepackage{amsmath, mathtools}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}\t[scale=1.2, inner sep=3mm]\n\t\t\t\t\\foreach \\i in {1, ..., 6}\n\t\t\t\t\\fill (\\i*360/6:2) coordinate (\\i) circle(2 pt);\n\t\t\t\t\n\t\t\t\t\\foreach \\i in {7, ..., 12}\n\t\t\t\t\\fill (\\i*360/6:1) coordinate (\\i) circle(2 pt);\n\n\t\t\t\t\\fill (0,0) coordinate (a) circle(2pt);\n\t\t\t\t\n\t\t\t\t\\fill[yellow!67, fill opacity=0.4](1) --(2)--(3) --(4)--(5)--(6)--(1);\n\t\t\t\t\n\t\t\t\t\\draw[dotted] (1) --(2)--(3) --(4)--(5)--(6)--(1);\n\t\t\t\t\\draw[dotted] (7) --(8)--(9) --(10)--(11)--(12)--(7);\n\t\t\t\t\\draw[dotted] (1)--(8)--(3)--(10)--(5)--(12)--(1);\n\t\t\t\t\\draw[dotted] (1)--(7)--(a)--(10)--(4);\n\t\t\t\t\\draw[dotted] (2)--(8)--(a)--(11)--(5);\n\t\t\t\t\\draw[dotted] (3)--(9)--(a)--(12)--(6);\n\t\t\t\t\n\t\t\t\t\\draw[thin] (1)--(8)--(9)--(a)--(10)--(5)--(6)--(1);\n\t\t\t\t\\draw[thick] (10)--(11)--(5)--(12)--(a);\n\t\t\t\t\\draw[thick] (1)--(12)--(6);\n\t\t\t\t\\draw[thick] (11)--(12);\n\n\t\t\t\t\\draw[ultra thin, orange] (9)--(10); \n\t\t\t\t\n\t\t\t\t% Label the vertices\n\t\t\t\t\\node[right] at (1){$v_{134}$};\n\t\t\t\t\\node[left] at (2){$v_{14}$};\n\t\t\t\t\\node[left] at (3){$v_{124}$};\n\t\t\t\t\\node[left] at (4){$v_{24}$};\n\t\t\t\t\\node[right] at (5){$v_{234}$};\n\t\t\t\t\\node[right] at (6){$v_{34}$};\n\t\t\t\t\\node[below left, inner sep=1.5mm] at (7){$v_{13}$};\n\t\t\t\t\\node[left] at (8){$v_{1}$};\n\t\t\t\t\\node[below left, inner sep=1.5mm] at (9){$v_{12}$};\n\t\t\t\t\\node[left] at (10){$v_{2}$};\n\t\t\t\t\\node[below left, inner sep=1.5mm] at (11){$v_{23}$};\n\t\t\t\t\\node[below right, inner sep=1.5mm] at (12){$v_{3}$};\n\t\t\t\t\\node[below left, inner sep=1.5mm] at (a){$v_{123}$};\n\n\t\t\t\t% Draw all of the vertices\n\t\t\t\t\\foreach \\i in {1, ..., 12} {\\fill (\\i) circle (2pt);}\n\t\t\t\t\\foreach \\i in {1, 5, 6, 8, 9, 10, 11, 12, a} {\\fill (\\i) circle (4pt);}\n\t\t\t\t%Colour vertices\n\t\t\t\t\\foreach \\i in {8, 5, 6} {\\fill[cyan!81] (\\i) circle (3.5pt);}\n\t\t\t\t\\foreach \\i in {9,10, 12} {\\fill[red!51] (\\i) circle (3.5pt);}\n\t\t\t\t\\foreach \\i in {a, 11, 1} {\\fill[black!60] (\\i) circle (3.5pt);}\n\t\t\t\t\t\t\t\t\n\t\t\t\t\\end{tikzpicture}\n\n\\end{document}" ], "sample_images": [ "sample_36_0", "sample_36_1", "sample_36_2" ] }, { "tikz_code": "\\documentclass[12pt]{amsart}\n\\usepackage{amsmath,amsthm,amssymb,amscd,mathdots,enumerate,float,shuffle,hyperref}\n\\usepackage{tikz}\n\\usetikzlibrary{decorations.pathreplacing,angles,quotes}\n\n\\begin{document}\n\n\\begin{tikzpicture}[scale=0.6]\n\n\\draw (-1,3) node{{$\\lambda = $}};\n\\draw (0,2.5) -- (0,0) -- (1,0) -- (1,1.5) -- (2,1.5) -- (2,2.5);\n\\draw [densely dotted] (0,2.5) -- (0,3.5);\n\\draw [densely dotted] (2,2.5) -- (3,2.5) -- (3,3.5);\n\\draw (3,3.5) -- (4,3.5) -- (4,4.5) -- (6.2,4.5) -- (6.2,5.5) -- (0,5.5) -- (0,3.5);\n\n\\draw [thick, red] (0,5.5) -- (6.2,5.5); \n\\draw [thick, blue] (0,5.5) -- (0,3.5); \n\\draw [thick, blue, densely dotted] (0,2.5) -- (0,3.5);\n\\draw [thick, blue] (0,0) -- (0,2.5);\n\n\n\\draw[decoration={brace,raise=2pt},decorate] (0,5.5) -- node[above=2pt] {\\small $m_1$} (6.2,5.5);\n\\draw[decoration={brace,raise=2pt},decorate] (0,4.5) -- node[above=2pt] {\\small $m_2$} (4,4.5);\n\\draw[decoration={brace,raise=2pt},decorate] (0,2.5) -- node[above=2pt] {\\small $m_{r-1}$} (2,2.5);\n\\draw[decoration={brace,raise=2pt},decorate] (0,1.5) -- node[above=2pt] {\\small $m_{r}$} (1,1.5);\n\n\\draw[decoration={brace,raise=2pt},decorate] (6.2,5.5) -- node[right=2pt] {\\small $n_{1}$} (6.2,4.5);\n\\draw[decoration={brace,raise=2pt},decorate] (4,4.5) -- node[right=2pt] {\\small $n_{2}$} (4,3.5);\n\\draw[decoration={brace,raise=2pt},decorate] (2,2.5) -- node[right=2pt] {\\small $n_{r-1}$} (2,1.5);\n\\draw[decoration={brace,raise=2pt},decorate] (1,1.5) -- node[right=2pt] {\\small $n_{r}$} (1,0);\n\n\\draw [lightgray,ultra thin] (4,5.5) -- (4,4.7);\n\\draw [lightgray,ultra thin] (4.3,5.5) -- (4.3,4.7);\n\\draw [lightgray,ultra thin] (4.6,5.5) -- (4.6,4.7);\n\\draw [lightgray,ultra thin] (4.9,5.5) -- (4.9,4.7);\n\\draw [lightgray,ultra thin] (5.2,5.5) -- (5.2,4.7);\n\\draw [lightgray,ultra thin] (5.5,5.5) -- (5.5,4.7);\n\\draw [lightgray,ultra thin] (5.8,5.5) -- (5.8,4.7);\n\\draw [lightgray,ultra thin] (3.7,5.5) -- (3.7,3.7);\n\\draw [lightgray,ultra thin] (3.4,5.5) -- (3.4,3.7);\n\\draw [lightgray,ultra thin] (3.1,5.5) -- (3.1,3.7);\n\\draw [lightgray,ultra thin] (2.8,5.5) -- (2.8,2.7);\n\\draw [lightgray,ultra thin] (2.5,5.5) -- (2.5,2.7);\n\\draw [lightgray,ultra thin] (2.2,4.7) -- (2.2,2.7);\n\\draw [lightgray,ultra thin] (1.9,4.7) -- (1.9,2.7);\n\\draw [lightgray,ultra thin] (1.6,4.7) -- (1.6,1.7);\n\\draw [lightgray,ultra thin] (1.3,5.5) -- (1.3,3.1);\n\\draw [lightgray,ultra thin] (1,5.5) -- (1,3.3);\n\\draw [lightgray,ultra thin] (0.7,5.5) -- (0.7,3.3);\n\\draw [lightgray,ultra thin] (0.4,5.5) -- (0.4,2.4);\n\\draw [lightgray,ultra thin] (1.3,2.7) -- (1.3,1.6);\n\\draw [lightgray,ultra thin] (1,2.7) -- (1,1.5);\n\\draw [lightgray,ultra thin] (0.7,2.7) -- (0.7,2);\n\\draw [lightgray,ultra thin] (0.4,1.7) -- (0.4,0);\n\\draw [lightgray,ultra thin] (0.7,1.7) -- (0.7,0);\n\n\\draw [lightgray,ultra thin] (0.1,0.3) -- (0.9,0.3);\n\\draw [lightgray,ultra thin] (0.1,0.6) -- (0.9,0.6);\n\\draw [lightgray,ultra thin] (0.1,0.9) -- (0.9,0.9);\n\\draw [lightgray,ultra thin] (0.1,1.2) -- (0.9,1.2);\n\\draw [lightgray,ultra thin] (0.1,1.5) -- (0.9,1.5);\n\n\\draw [lightgray,ultra thin] (0.9,1.9) -- (1.9,1.9);\n\\draw [lightgray,ultra thin] (0.9,2.2) -- (1.9,2.2);\n\\draw [lightgray,ultra thin] (0.1,2.5) -- (1.9,2.5);\n\n\\draw [lightgray,ultra thin] (0.1,3.5) -- (2.9,3.5);\n\\draw [lightgray,ultra thin] (1.1,3.2) -- (2.9,3.2);\n\\draw [lightgray,ultra thin] (1.8,2.9) -- (2.9,2.9);\n\n\\draw [lightgray,ultra thin] (0.1,4.5) -- (3.9,4.5);\n\\draw [lightgray,ultra thin] (0.1,4.16) -- (3.9,4.16);\n\\draw [lightgray,ultra thin] (0.1,3.85) -- (3.9,3.85);\n\n\\draw [lightgray,ultra thin] (0.1,4.85) -- (1.4,4.85);\n\\draw [lightgray,ultra thin] (0.1,5.2) -- (1.4,5.2);\n\\draw [lightgray,ultra thin] (2.3,5.2) -- (6,5.2);\n\\draw [lightgray,ultra thin] (2.3,4.85) -- (6,4.85);\n\n\n\\end{tikzpicture}\n\n\\end{document}", "original_image": "original_37", "generated_samples": [ "\\documentclass[12pt]{amsart}\n\\usepackage{amsmath,amsthm,amssymb,amscd,mathdots,enumerate,float,shuffle,hyperref}\n\\usepackage{tikz}\n\\usetikzlibrary{decorations.pathreplacing,angles,quotes}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}[scale=0.6]\n\n\\draw (-1,3) node{{$\\lambda = $}};\n\\draw (0,2.5) -- (0,0) -- (1,0) -- (1,1.5) -- (2,1.5) -- (2,2.5);\n\n\\draw [thin, orange] (0,5.5) -- (6.2,5.5); \n\\draw [thin, green] (0,5.5) -- (0,3.5); \n\\draw [thin, brown, densely dashed] (0.23,2.72) -- (0.23,3.52);\n\\draw [thick, yellow] (0.15,0.01) -- (0.23,2.53);\n\n\n\\draw[decoration={brace,raise=2pt},decorate] (0,5.5) -- node[above=2pt] {\\small $m_1$} (6.2,5.5);\n\\draw[decoration={brace,raise=2pt},decorate] (0,4.5) -- node[above=2pt] {\\small $m_2$} (4,4.5);\n\\draw[decoration={brace,raise=2pt},decorate] (0,2.5) -- node[above=2pt] {\\small $m_{r-1}$} (2,2.5);\n\\draw[decoration={brace,raise=2pt},decorate] (0,1.5) -- node[above=2pt] {\\small $m_{r}$} (1,1.5);\n\n\\draw[decoration={brace,raise=2pt},decorate] (6.2,5.5) -- node[right=1.11pt] {\\small $n_{1}$} (6.2,4.5);\n\\draw[decoration={brace,raise=2pt},decorate] (4,4.5) -- node[right=1.2pt] {\\small $n_{2}$} (4,3.5);\n\\draw[decoration={brace,raise=2pt},decorate] (1,1.5) -- node[right=1.45pt] {\\small $n_{r}$} (1,0);\n\n\\draw [red,ultra thin] (4,5.5) -- (4,4.7);\n\\draw [purple,ultra thin] (4.6,5.5) -- (4.6,4.7);\n\\draw [blue,ultra thick] (4.9,5.5) -- (4.9,4.7);\n\\draw [orange,ultra thin] (5.2,5.5) -- (5.2,4.7);\n\\draw [yellow,ultra thin] (5.8,5.5) -- (5.8,4.7);\n\\draw [cyan,ultra thin] (3.7,5.5) -- (3.7,3.7);\n\\draw [red,ultra thin] (3.4,5.5) -- (3.4,3.7);\n\\draw [purple,ultra thick] (3.1,5.5) -- (3.1,3.7);\n\\draw [orange,ultra thin] (2.8,5.5) -- (2.8,2.7);\n\\draw [cyan,ultra thick] (2.5,5.5) -- (2.5,2.7);\n\\draw [black,ultra thin] (2.2,4.7) -- (2.2,2.7);\n\\draw [cyan,ultra thin] (1.9,4.7) -- (1.9,2.7);\n\\draw [green,ultra thin] (1.6,4.7) -- (1.6,1.7);\n\\draw [orange,ultra thick] (1.3,5.5) -- (1.3,3.1);\n\\draw [black,ultra thin] (1,5.5) -- (1,3.3);\n\\draw [purple,ultra thin] (0.4,5.5) -- (0.4,2.4);\n\\draw [cyan,ultra thick] (1.3,2.7) -- (1.3,1.6);\n\\draw [purple,ultra thick] (1,2.7) -- (1,1.5);\n\\draw [cyan,ultra thick] (0.7,2.7) -- (0.7,2);\n\\draw [cyan,ultra thick] (0.4,1.7) -- (0.4,0);\n\\draw [green,ultra thin] (0.7,1.7) -- (0.7,0);\n\n\\draw [blue,ultra thin] (0.1,0.3) -- (0.9,0.3);\n\\draw [brown,ultra thin] (0.1,0.6) -- (0.9,0.6);\n\\draw [cyan,ultra thin] (0.1,0.9) -- (0.9,0.9);\n\\draw [brown,ultra thick] (0.1,1.2) -- (0.9,1.2);\n\\draw [purple,ultra thin] (0.1,1.5) -- (0.9,1.5);\n\n\\draw [black,ultra thick] (0.9,1.9) -- (1.9,1.9);\n\\draw [red,ultra thin] (0.9,2.2) -- (1.9,2.2);\n\\draw [brown,ultra thin] (0.1,2.5) -- (1.9,2.5);\n\n\\draw [brown,ultra thick] (0.1,3.5) -- (2.9,3.5);\n\\draw [cyan,ultra thick] (1.1,3.2) -- (2.9,3.2);\n\\draw [green,ultra thin] (1.8,2.9) -- (2.9,2.9);\n\n\\draw [orange,ultra thin] (0.1,4.16) -- (3.9,4.16);\n\n\\draw [purple,ultra thin] (0.1,5.2) -- (1.4,5.2);\n\\draw [blue,ultra thin] (2.3,5.2) -- (6,5.2);\n\n\n\\end{tikzpicture}\n\n\\end{document}", "\\documentclass[12pt]{amsart}\n\\usepackage{amsmath,amsthm,amssymb,amscd,mathdots,enumerate,float,shuffle,hyperref}\n\\usepackage{tikz}\n\\usetikzlibrary{decorations.pathreplacing,angles,quotes}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}[scale=0.6]\n\n\\draw (-1,3) node{{$\\lambda = $}};\n\\draw (0,2.5) -- (0,0) -- (1,0) -- (1,1.5) -- (2,1.5) -- (2,2.5);\n\\draw [densely dashed] (0.01,2.73) -- (0.21,3.62);\n\\draw [densely dashed] (2,2.5) -- (3,2.5) -- (3,3.5);\n\\draw (3,3.5) -- (4,3.5) -- (4,4.5) -- (6.2,4.5) -- (6.2,5.5) -- (0,5.5) -- (0,3.5);\n\n\\draw [thin, purple] (0,5.5) -- (0,3.5); \n\\draw [thick, black, densely dashed] (0,2.5) -- (0,3.5);\n\\draw [thick, cyan] (0.03,0.16) -- (0.18,2.58);\n\n\n\\draw[decoration={brace,raise=2pt},decorate] (0,5.5) -- node[above=2pt] {\\small $m_1$} (6.2,5.5);\n\\draw[decoration={brace,raise=2pt},decorate] (0,4.5) -- node[above=2pt] {\\small $m_2$} (4,4.5);\n\\draw[decoration={brace,raise=2pt},decorate] (0,1.5) -- node[above=2pt] {\\small $m_{r}$} (1,1.5);\n\n\\draw[decoration={brace,raise=2pt},decorate] (6.2,5.5) -- node[right=2.51pt] {\\small $n_{1}$} (6.2,4.5);\n\\draw[decoration={brace,raise=2pt},decorate] (4,4.5) -- node[right=1.1pt] {\\small $n_{2}$} (4,3.5);\n\\draw[decoration={brace,raise=2pt},decorate] (1,1.5) -- node[right=1.93pt] {\\small $n_{r}$} (1,0);\n\n\\draw [cyan,ultra thin] (4,5.5) -- (4,4.7);\n\\draw [green,ultra thin] (4.6,5.5) -- (4.6,4.7);\n\\draw [red,ultra thin] (4.9,5.5) -- (4.9,4.7);\n\\draw [purple,ultra thick] (5.2,5.5) -- (5.2,4.7);\n\\draw [purple,ultra thick] (5.5,5.5) -- (5.5,4.7);\n\\draw [red,ultra thin] (5.8,5.5) -- (5.8,4.7);\n\\draw [yellow,ultra thick] (3.7,5.5) -- (3.7,3.7);\n\\draw [purple,ultra thick] (3.1,5.5) -- (3.1,3.7);\n\\draw [cyan,ultra thin] (2.5,5.5) -- (2.5,2.7);\n\\draw [cyan,ultra thin] (2.2,4.7) -- (2.2,2.7);\n\\draw [purple,ultra thick] (1.9,4.7) -- (1.9,2.7);\n\\draw [red,ultra thin] (1.6,4.7) -- (1.6,1.7);\n\\draw [brown,ultra thin] (1.3,5.5) -- (1.3,3.1);\n\\draw [green,ultra thick] (0.7,5.5) -- (0.7,3.3);\n\\draw [black,ultra thick] (0.4,5.5) -- (0.4,2.4);\n\\draw [red,ultra thin] (1.3,2.7) -- (1.3,1.6);\n\\draw [orange,ultra thin] (1,2.7) -- (1,1.5);\n\\draw [black,ultra thin] (0.7,2.7) -- (0.7,2);\n\\draw [black,ultra thin] (0.4,1.7) -- (0.4,0);\n\\draw [red,ultra thick] (0.7,1.7) -- (0.7,0);\n\n\\draw [brown,ultra thin] (0.1,0.6) -- (0.9,0.6);\n\\draw [red,ultra thick] (0.1,0.9) -- (0.9,0.9);\n\\draw [orange,ultra thin] (0.1,1.2) -- (0.9,1.2);\n\n\\draw [brown,ultra thin] (0.9,1.9) -- (1.9,1.9);\n\\draw [cyan,ultra thin] (0.9,2.2) -- (1.9,2.2);\n\\draw [black,ultra thick] (0.1,2.5) -- (1.9,2.5);\n\n\\draw [brown,ultra thin] (0.1,3.5) -- (2.9,3.5);\n\\draw [green,ultra thick] (1.1,3.2) -- (2.9,3.2);\n\n\\draw [blue,ultra thin] (0.1,4.16) -- (3.9,4.16);\n\\draw [brown,ultra thick] (0.1,3.85) -- (3.9,3.85);\n\n\\draw [purple,ultra thick] (0.1,4.85) -- (1.4,4.85);\n\\draw [purple,ultra thin] (0.1,5.2) -- (1.4,5.2);\n\\draw [blue,ultra thin] (2.3,5.2) -- (6,5.2);\n\\draw [blue,ultra thick] (2.3,4.85) -- (6,4.85);\n\n\n\\end{tikzpicture}\n\n\\end{document}", 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(0,2.5) -- node[above=2pt] {\\small $m_{r-1}$} (2,2.5);\n\n\\draw[decoration={brace,raise=2pt},decorate] (6.2,5.5) -- node[right=2.04pt] {\\small $n_{1}$} (6.2,4.5);\n\\draw[decoration={brace,raise=2pt},decorate] (4,4.5) -- node[right=2.27pt] {\\small $n_{2}$} (4,3.5);\n\\draw[decoration={brace,raise=2pt},decorate] (2,2.5) -- node[right=2.32pt] {\\small $n_{r-1}$} (2,1.5);\n\\draw[decoration={brace,raise=2pt},decorate] (1,1.5) -- node[right=1.46pt] {\\small $n_{r}$} (1,0);\n\n\\draw [cyan,ultra thick] (4,5.5) -- (4,4.7);\n\\draw [cyan,ultra thin] (4.3,5.5) -- (4.3,4.7);\n\\draw [cyan,ultra thick] (4.6,5.5) -- (4.6,4.7);\n\\draw [yellow,ultra thick] (4.9,5.5) -- (4.9,4.7);\n\\draw [cyan,ultra thin] (5.2,5.5) -- (5.2,4.7);\n\\draw [black,ultra thick] (5.5,5.5) -- (5.5,4.7);\n\\draw [purple,ultra thick] (5.8,5.5) -- (5.8,4.7);\n\\draw [cyan,ultra thick] (3.4,5.5) -- (3.4,3.7);\n\\draw [green,ultra thick] (3.1,5.5) -- (3.1,3.7);\n\\draw [orange,ultra thick] (2.8,5.5) -- (2.8,2.7);\n\\draw 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red] (0,5.5) -- (6.2,5.5); \n\\draw [thick, blue] (0,5.5) -- (0,3.5); \n\\draw [thick, blue, densely dotted] (0,2.5) -- (0,3.5);\n\\draw [thick, blue] (0,0) -- (0,2.5);\n\n\n\\draw[decoration={brace,raise=2pt},decorate] (0,5.5) -- node[above=2pt] {\\small $m_1$} (6.2,5.5);\n\\draw[decoration={brace,raise=2pt},decorate] (0,4.5) -- node[above=2pt] {\\small $m_2$} (4,4.5);\n\\draw[decoration={brace,raise=2pt},decorate] (0,2.5) -- node[above=2pt] {\\small $m_{r-1}$} (2,2.5);\n\\draw[decoration={brace,raise=2pt},decorate] (0,1.5) -- node[above=2pt] {\\small $m_{r}$} (1,1.5);\n\n\\draw[decoration={brace,raise=2pt},decorate] (6.2,5.5) -- node[right=2pt] {\\small $n_{1}$} (6.2,4.5);\n\\draw[decoration={brace,raise=2pt},decorate] (4,4.5) -- node[right=2pt] {\\small $n_{2}$} (4,3.5);\n\\draw[decoration={brace,raise=2pt},decorate] (2,2.5) -- node[right=2pt] {\\small $n_{r-1}$} (2,1.5);\n\\draw[decoration={brace,raise=2pt},decorate] (1,1.5) -- node[right=2pt] {\\small $n_{r}$} (1,0);\n\n\\draw [lightgray,ultra thin] (4,5.5) -- (4,4.7);\n\\draw [lightgray,ultra thin] (4.3,5.5) -- (4.3,4.7);\n\\draw [lightgray,ultra thin] (4.6,5.5) -- (4.6,4.7);\n\\draw [lightgray,ultra thin] (4.9,5.5) -- (4.9,4.7);\n\\draw [lightgray,ultra thin] (5.2,5.5) -- (5.2,4.7);\n\\draw [lightgray,ultra thin] (5.5,5.5) -- (5.5,4.7);\n\\draw [lightgray,ultra thin] (5.8,5.5) -- (5.8,4.7);\n\\draw [lightgray,ultra thin] (3.7,5.5) -- (3.7,3.7);\n\\draw [lightgray,ultra thin] (3.4,5.5) -- (3.4,3.7);\n\\draw [lightgray,ultra thin] (3.1,5.5) -- (3.1,3.7);\n\\draw [lightgray,ultra thin] (2.8,5.5) -- (2.8,2.7);\n\\draw [lightgray,ultra thin] (2.5,5.5) -- (2.5,2.7);\n\\draw [lightgray,ultra thin] (2.2,4.7) -- (2.2,2.7);\n\\draw [lightgray,ultra thin] (1.9,4.7) -- (1.9,2.7);\n\\draw [lightgray,ultra thin] (1.6,4.7) -- (1.6,1.7);\n\\draw [lightgray,ultra thin] (1.3,5.5) -- (1.3,3.1);\n\\draw [lightgray,ultra thin] (1,5.5) -- (1,3.3);\n\\draw [lightgray,ultra thin] (0.7,5.5) -- (0.7,3.3);\n\\draw [lightgray,ultra 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thin] (0.1,-0.3) -- (0.9,-0.3);\n\\draw [lightgray,ultra thin] (0.1,0) -- (0.9,0);\n\\draw [lightgray,ultra thin] (0.1,0.3) -- (0.9,0.3);\n\\draw [lightgray,ultra thin] (0.1,0.6) -- (0.9,0.6);\n\\draw [lightgray,ultra thin] (0.1,0.9) -- (0.9,0.9);\n\\draw [lightgray,ultra thin] (0.1,1.2) -- (0.9,1.2);\n\\draw [lightgray,ultra thin] (0.1,1.5) -- (0.9,1.5);\n\n\\draw [lightgray,ultra thin] (0.9,1.9) -- (1.9,1.9);\n\\draw [lightgray,ultra thin] (0.9,2.2) -- (1.9,2.2);\n\\draw [lightgray,ultra thin] (0.1,2.5) -- (1.9,2.5);\n\n\\draw [lightgray,ultra thin] (0.1,3.5) -- (2.9,3.5);\n\\draw [lightgray,ultra thin] (1.1,3.2) -- (2.9,3.2);\n\\draw [lightgray,ultra thin] (1.8,2.9) -- (2.9,2.9);\n\n\\draw [lightgray,ultra thin] (0.1,4.5) -- (3.9,4.5);\n\\draw [lightgray,ultra thin] (0.1,4.16) -- (3.9,4.16);\n\\draw [lightgray,ultra thin] (0.1,3.85) -- (3.9,3.85);\n\n\\draw [lightgray,ultra thin] (0.1,4.85) -- (1.4,4.85);\n\\draw [lightgray,ultra thin] (0.1,5.2) -- (1.4,5.2);\n\\draw 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(6.2,5.5);\n\\draw[decoration={brace,raise=2pt},decorate] (0,4.5) -- node[above=2pt] {\\small $m_2$} (4,4.5);\n\\draw[decoration={brace,raise=2pt},decorate] (0,2.5) -- node[above=2pt] {\\small $m_{r-1}$} (2,2.5);\n\\draw[decoration={brace,raise=2pt},decorate] (0,1.5) -- node[above=2pt] {\\small $m_{r}$} (1,1.5);\n\n\\draw[decoration={brace,raise=2pt},decorate] (2,2.5) -- node[right=2.33pt] {\\small $n_{r-1}$} (2,1.5);\n\\draw[decoration={brace,raise=2pt},decorate] (1,1.5) -- node[right=2.95pt] {\\small $n_{r}$} (1,0);\n\n\\draw [red,ultra thin] (4.3,5.5) -- (4.3,4.7);\n\\draw [orange,ultra thick] (4.9,5.5) -- (4.9,4.7);\n\\draw [red,ultra thick] (5.2,5.5) -- (5.2,4.7);\n\\draw [yellow,ultra thick] (5.5,5.5) -- (5.5,4.7);\n\\draw [cyan,ultra thin] (5.8,5.5) -- (5.8,4.7);\n\\draw [black,ultra thick] (3.7,5.5) -- (3.7,3.7);\n\\draw [red,ultra thin] (3.1,5.5) -- (3.1,3.7);\n\\draw [cyan,ultra thin] (2.8,5.5) -- (2.8,2.7);\n\\draw [cyan,ultra thick] (2.5,5.5) -- (2.5,2.7);\n\\draw [green,ultra thick] (2.2,4.7) -- (2.2,2.7);\n\\draw [orange,ultra thick] (1.9,4.7) -- (1.9,2.7);\n\\draw [red,ultra thin] (1.6,4.7) -- (1.6,1.7);\n\\draw [green,ultra thin] (1,5.5) -- (1,3.3);\n\\draw [green,ultra thin] (1.3,2.7) -- (1.3,1.6);\n\\draw [green,ultra thick] (1,2.7) -- (1,1.5);\n\\draw [black,ultra thick] (0.7,2.7) -- (0.7,2);\n\\draw [green,ultra thin] (0.4,1.7) -- (0.4,0);\n\n\\draw [blue,ultra thick] (0.1,0.3) -- (0.9,0.3);\n\\draw [orange,ultra thin] (0.1,0.6) -- (0.9,0.6);\n\\draw [purple,ultra thin] (0.1,0.9) -- (0.9,0.9);\n\\draw [brown,ultra thick] (0.1,1.2) -- (0.9,1.2);\n\\draw [brown,ultra thin] (0.1,1.5) -- (0.9,1.5);\n\n\\draw [green,ultra thick] (0.9,1.9) -- (1.9,1.9);\n\\draw [cyan,ultra thin] (0.9,2.2) -- (1.9,2.2);\n\n\\draw [red,ultra thin] (0.1,3.5) -- (2.9,3.5);\n\\draw [orange,ultra thick] (1.1,3.2) -- (2.9,3.2);\n\\draw [purple,ultra thick] (1.8,2.9) -- (2.9,2.9);\n\n\\draw [green,ultra thick] (0.1,4.16) -- (3.9,4.16);\n\\draw [green,ultra thick] 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[purple,ultra thin] (1.6,4.7) -- (1.6,1.7);\n\\draw [purple,ultra thick] (1,5.5) -- (1,3.3);\n\\draw [orange,ultra thick] (0.74,5.59) -- (0.8,3.49);\n\\draw [cyan,ultra thick] (0.4,5.5) -- (0.4,2.4);\n\\draw [brown,ultra thick] (1.3,2.7) -- (1.3,1.6);\n\\draw [purple,ultra thick] (1,2.7) -- (1,1.5);\n\\draw [yellow,ultra thick] (0.4,1.7) -- (0.4,-0.5);\n\\draw [green,ultra thin] (0.7,1.7) -- (0.7,-0.5);\n\\draw [cyan,ultra thick] (0.1,-0.3) -- (0.9,-0.3);\n\\draw [brown,ultra thin] (0.1,0.3) -- (0.9,0.3);\n\\draw [purple,ultra thick] (0.1,0.6) -- (0.9,0.6);\n\\draw [brown,ultra thin] (0.1,1.2) -- (0.9,1.2);\n\\draw [blue,ultra thick] (0.1,1.5) -- (0.9,1.5);\n\n\\draw [black,ultra thick] (0.9,1.9) -- (1.9,1.9);\n\\draw [red,ultra thin] (0.9,2.2) -- (1.9,2.2);\n\\draw [black,ultra thin] (0.1,2.5) -- (1.9,2.5);\n\n\\draw [cyan,ultra thin] (0.1,3.5) -- (2.9,3.5);\n\\draw [brown,ultra thin] (1.8,2.9) -- (2.9,2.9);\n\n\\draw [red,ultra thick] (0.1,4.5) -- (3.9,4.5);\n\\draw [green,ultra thick] (0.1,4.16) -- (3.9,4.16);\n\\draw [brown,ultra thin] (0.1,3.85) -- (3.9,3.85);\n\n\\draw [red,ultra thin] (2.3,4.85) -- (5.4,4.85);\n\\end{scope}\n\\end{tikzpicture}\n\n\\end{document}", "\\documentclass[12pt]{amsart}\n\\usepackage{amsmath,amsthm,amssymb,amscd,mathdots,enumerate,float,shuffle,hyperref}\n\\usepackage{tikz}\n\\usetikzlibrary{decorations.pathreplacing,angles,quotes}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}[scale=0.6]\n\n\n\n\n\n\n\n \\draw (-1,3) node{{$\\lambda = $}};\n\\draw (0,2.5) -- (0,0) -- (1,0) -- (1,1.5) -- (2,1.5) -- (2,2.5);\n\\draw [densely dashed] (0,2.5) -- (0,3.5);\n\\draw [densely dashed] (2,2.5) -- (3,2.5) -- (3,3.5);\n\\draw (3,3.5) -- (4,3.5) -- (4,4.5) -- (6.2,4.5) -- (6.2,5.5) -- (0,5.5) -- (0,3.5);\n\n\\draw [thin, black] (0,5.5) -- (6.2,5.5); \n\\draw [thin, blue] (0,5.5) -- (0,3.5); \n\\draw [thin, blue, densely dashed] (0,2.5) -- (0,3.5);\n\n\n\\draw[decoration={brace,raise=2pt},decorate] (0,5.5) -- node[above=2pt] {\\small $m_1$} (6.2,5.5);\n\\draw[decoration={brace,raise=2pt},decorate] (0,1.5) -- node[above=2pt] {\\small $m_{r}$} (1,1.5);\n\n\\draw[decoration={brace,raise=2pt},decorate] (4,4.5) -- node[right=1.11pt] {\\small $n_{2}$} (4,3.5);\n\\draw[decoration={brace,raise=2pt},decorate] (2,2.5) -- node[right=1.72pt] {\\small $n_{r-1}$} (2,1.5);\n\n\\draw [purple,ultra thin] (4.02,5.61) -- (4.23,4.83);\n\\draw [brown,ultra thick] (4.3,5.5) -- (4.3,4.7);\n\\draw [brown,ultra thin] (4.6,5.5) -- (4.6,4.7);\n\\draw [cyan,ultra thick] (5.2,5.5) -- (5.2,4.7);\n\\draw [green,ultra thin] (5.5,5.5) -- (5.5,4.7);\n\\draw [black,ultra thin] (5.8,5.5) -- (5.8,4.7);\n\\draw [black,ultra thick] (3.4,5.5) -- (3.4,3.7);\n\\draw [purple,ultra thick] (3.1,5.5) -- (3.1,3.7);\n\\draw [brown,ultra thin] (2.8,5.5) -- (2.8,2.7);\n\\draw [blue,ultra thick] (2.2,4.7) -- (2.2,2.7);\n\\draw [purple,ultra thick] (1.9,4.7) -- (1.9,2.7);\n\\draw [black,ultra thin] (1.6,4.7) -- (1.6,1.7);\n\\draw [blue,ultra thin] (1.3,5.5) -- (1.3,3.1);\n\\draw [green,ultra thick] (1,5.5) -- (1,3.3);\n\\draw [green,ultra thick] (0.4,5.5) -- (0.4,2.4);\n\\draw [yellow,ultra thin] (0.7,2.7) -- (0.7,2);\n\n\\draw [yellow,ultra thick] (0.1,0.3) -- (0.9,0.3);\n\\draw [black,ultra thick] (0.1,0.9) -- (0.9,0.9);\n\\draw [green,ultra thick] (0.1,1.2) -- (0.9,1.2);\n\\draw [yellow,ultra thin] (0.1,1.5) -- (0.9,1.5);\n\n\\draw [red,ultra thin] (0.9,1.9) -- (1.9,1.9);\n\\draw [brown,ultra thick] (0.9,2.2) -- (1.9,2.2);\n\\draw [orange,ultra thin] (0.1,2.5) -- (1.9,2.5);\n\n\\draw [yellow,ultra thin] (0.1,3.5) -- (2.9,3.5);\n\\draw [brown,ultra thin] (1.8,2.9) -- (2.9,2.9);\n\n\\draw [blue,ultra thin] (0.1,4.16) -- (3.9,4.16);\n\\draw [brown,ultra thin] (0.1,3.85) -- (3.9,3.85);\n\n\\draw [green,ultra thick] (0.1,4.85) -- (1.4,4.85);\n\\draw [cyan,ultra thin] (0.1,5.2) -- (1.4,5.2);\n\\draw [blue,ultra thin] (2.3,4.85) -- (6,4.85);\n\n\\draw [->,thin] (7.4,3) -- node[above=2pt]{$\\rho$} (10.4,3);\n\n\n\\begin{scope}[shift={(12,0.3)}]\n\n\\draw (9,3) node{{$= \\rho(\\lambda)$}};\n\\draw (0,2.5) -- (0,-0.6) -- (1,-0.6) -- (1,1.5) -- (2,1.5) -- (2,2.5);\n\\draw [densely dashed] (0,2.5) -- (0,3.5);\n\\draw [densely dashed] (2,2.5) -- (3,2.5) -- (3,3.5);\n\\draw (3,3.5) -- (4,3.5) -- (4,4.5) -- (5.5,4.5) -- (5.5,5.5) -- (0,5.5) -- (0,3.5);\n\n\\draw [thin, black] (0,5.5) -- (5.5,5.5); \n\\draw [thick, black, densely dashed] (0,2.5) -- (0,3.5);\n\\draw [thick, red] (0,-0.6) -- (0,2.5);\n\n\\draw[decoration={brace,raise=2pt},decorate] (0,5.5) -- node[above=2pt] {\\small $n_1 + \\dots + n_r$} (5.5,5.5);\n\\draw[decoration={brace,raise=2pt},decorate] (0,4.5) -- node[above=2pt] {\\tiny $n_1 + \\dots + n_{r-1}$} (4,4.5);\n\\draw[decoration={brace,raise=2pt},decorate] (0,2.5) -- node[above=2pt] {\\tiny $n_1+n_2$} (2,2.5);\n\\draw[decoration={brace,raise=2pt},decorate] (0,1.5) -- node[above=2pt] {\\tiny $n_1$} (1,1.5);\n\n\\draw[decoration={brace,raise=2pt},decorate] (5.5,5.5) -- node[right=2.03pt] {\\small $m_r$} (5.5,4.5);\n\\draw[decoration={brace,raise=2pt},decorate] (4,4.5) -- node[right=2.09pt] {\\small $m_{r-1}-m_r$} (4,3.5);\n\\draw[decoration={brace,raise=2pt},decorate] (2,2.5) -- node[right=1.8pt] {\\small $m_2-m_3$} (2,1.5);\n\\draw[decoration={brace,raise=2pt},decorate] (1,1.5) -- node[right=2.16pt] {\\small $m_1-m_2$} (1,-0.6);\n\n\\draw [green,ultra thick] (4.3,5.5) -- (4.3,4.7);\n\\draw [green,ultra thick] (4.6,5.5) -- (4.6,4.7);\n\\draw [black,ultra thick] (4.9,5.5) -- (4.9,4.7);\n\\draw [yellow,ultra thick] (5.2,5.5) -- (5.2,4.7);\n\\draw [orange,ultra thin] (3.7,5.5) -- (3.7,3.7);\n\\draw [cyan,ultra thick] (3.1,5.5) -- (3.1,3.7);\n\\draw [brown,ultra thin] (2.8,5.5) -- (2.8,2.7);\n\\draw [yellow,ultra thin] (2.5,5.5) -- (2.5,2.7);\n\\draw [black,ultra thin] (2.2,4.7) -- (2.2,2.7);\n\\draw [orange,ultra thick] (1.9,4.7) -- (1.9,2.7);\n\\draw [yellow,ultra thick] (1.6,4.7) -- (1.6,1.7);\n\\draw [cyan,ultra thick] (1.3,5.5) -- (1.3,3.1);\n\\draw [blue,ultra thick] (1.19,5.52) -- (1.11,3.53);\n\\draw [purple,ultra thick] (0.7,5.5) -- (0.7,3.3);\n\\draw [green,ultra thin] (1.3,2.7) -- (1.3,1.6);\n\\draw [brown,ultra thin] (1,2.7) -- (1,1.5);\n\\draw [cyan,ultra thin] (0.4,1.7) -- (0.4,-0.5);\n\\draw [red,ultra thin] (0.7,1.7) -- (0.7,-0.5);\n\\draw [brown,ultra thick] (0.1,-0.3) -- (0.9,-0.3);\n\\draw [blue,ultra thin] (0.1,0) -- (0.9,0);\n\\draw [brown,ultra thick] (0.1,0.3) -- (0.9,0.3);\n\\draw [blue,ultra thin] (0.1,0.6) -- (0.9,0.6);\n\\draw [yellow,ultra thin] (0.1,0.9) -- (0.9,0.9);\n\\draw [black,ultra thin] (0.1,1.2) -- (0.9,1.2);\n\\draw [red,ultra thick] (0.1,1.5) -- (0.9,1.5);\n\n\\draw [yellow,ultra thick] (0.9,1.9) -- (1.9,1.9);\n\n\\draw [cyan,ultra thick] (1.1,3.2) -- (2.9,3.2);\n\\draw [black,ultra thin] (1.8,2.9) -- (2.9,2.9);\n\n\\draw [brown,ultra thin] (0.1,4.5) -- (3.9,4.5);\n\\draw [orange,ultra thick] (0.1,4.16) -- (3.9,4.16);\n\\draw [red,ultra thick] (0.1,3.85) -- (3.9,3.85);\n\n\\draw [cyan,ultra thin] (0.1,4.85) -- (1.4,4.85);\n\\draw [yellow,ultra thick] (0.1,5.2) -- (1.4,5.2);\n\\draw [black,ultra thick] (2.3,5.2) -- (5.4,5.2);\n\\end{scope}\n\\end{tikzpicture}\n\n\\end{document}", "\\documentclass[12pt]{amsart}\n\\usepackage{amsmath,amsthm,amssymb,amscd,mathdots,enumerate,float,shuffle,hyperref}\n\\usepackage{tikz}\n\\usetikzlibrary{decorations.pathreplacing,angles,quotes}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}[scale=0.6]\n\n\n\n\n\n\n\n \\draw (-1,3) node{{$\\lambda = $}};\n\\draw (0,2.5) -- (0,0) -- (1,0) -- (1,1.5) -- (2,1.5) -- (2,2.5);\n\\draw [densely dashed] (0,2.5) -- (0,3.5);\n\\draw [densely dashed] (2,2.5) -- (3,2.5) -- (3,3.5);\n\\draw (3,3.5) -- (4,3.5) -- (4,4.5) -- (6.2,4.5) -- (6.2,5.5) -- (0,5.5) -- (0,3.5);\n\n\\draw [thick, green] (0,5.5) -- (6.2,5.5); \n\\draw [thick, orange] (0,5.5) -- (0,3.5); \n\\draw [thin, green, densely dashed] (0,2.5) -- (0,3.5);\n\\draw [thick, purple] (0,0) -- (0,2.5);\n\n\n\\draw[decoration={brace,raise=2pt},decorate] (0,5.5) -- node[above=2pt] {\\small $m_1$} (6.2,5.5);\n\\draw[decoration={brace,raise=2pt},decorate] (0,4.5) -- node[above=2pt] {\\small $m_2$} (4,4.5);\n\\draw[decoration={brace,raise=2pt},decorate] (0,2.5) -- node[above=2pt] {\\small $m_{r-1}$} (2,2.5);\n\\draw[decoration={brace,raise=2pt},decorate] (0,1.5) -- node[above=2pt] {\\small $m_{r}$} (1,1.5);\n\n\\draw[decoration={brace,raise=2pt},decorate] (6.2,5.5) -- node[right=1.47pt] {\\small $n_{1}$} (6.2,4.5);\n\\draw[decoration={brace,raise=2pt},decorate] (4,4.5) -- node[right=1.21pt] {\\small $n_{2}$} (4,3.5);\n\\draw[decoration={brace,raise=2pt},decorate] (2,2.5) -- node[right=1.1pt] {\\small $n_{r-1}$} (2,1.5);\n\\draw[decoration={brace,raise=2pt},decorate] (1,1.5) -- node[right=2.41pt] {\\small $n_{r}$} (1,0);\n\n\\draw [blue,ultra thin] (4,5.5) -- (4,4.7);\n\\draw [yellow,ultra thick] (4.9,5.5) -- (4.9,4.7);\n\\draw [red,ultra thick] (5.2,5.5) -- (5.2,4.7);\n\\draw [green,ultra thin] (5.5,5.5) -- (5.5,4.7);\n\\draw [yellow,ultra thick] (3.7,5.5) -- (3.7,3.7);\n\\draw [red,ultra thin] (3.4,5.5) -- (3.4,3.7);\n\\draw [red,ultra thick] (3.1,5.5) -- (3.1,3.7);\n\\draw [black,ultra thick] (2.8,5.5) -- (2.8,2.7);\n\\draw [black,ultra thick] (2.5,5.5) -- (2.5,2.7);\n\\draw [red,ultra thin] (2.2,4.7) -- (2.2,2.7);\n\\draw [brown,ultra thin] (1.9,4.7) -- (1.9,2.7);\n\\draw [blue,ultra thin] (1.3,5.5) -- (1.3,3.1);\n\\draw [purple,ultra thick] (1,5.5) -- (1,3.3);\n\\draw [blue,ultra thick] (1.3,2.7) -- (1.3,1.6);\n\\draw [black,ultra thin] (1,2.7) -- (1,1.5);\n\\draw [blue,ultra thin] (0.7,2.7) -- (0.7,2);\n\\draw [cyan,ultra thick] (0.4,1.7) -- (0.4,0);\n\\draw [cyan,ultra thin] (0.7,1.7) -- (0.7,0);\n\n\\draw [blue,ultra thin] (0.1,0.3) -- (0.9,0.3);\n\\draw [orange,ultra thick] (0.1,0.6) -- (0.9,0.6);\n\\draw [green,ultra thick] (0.1,1.2) -- (0.9,1.2);\n\n\\draw [black,ultra thick] (0.9,1.9) -- (1.9,1.9);\n\\draw [purple,ultra thick] (0.9,2.2) -- (1.9,2.2);\n\n\\draw [brown,ultra thin] (0.1,3.5) -- (2.9,3.5);\n\n\\draw [blue,ultra thin] (0.1,4.5) -- (3.9,4.5);\n\\draw [purple,ultra thick] (0.1,3.85) -- (3.9,3.85);\n\n\\draw [purple,ultra thick] (0.1,4.85) -- (1.4,4.85);\n\\draw [red,ultra thick] (0.1,5.2) -- (1.4,5.2);\n\\draw [yellow,ultra thick] (2.3,5.2) -- (6,5.2);\n\n\\draw [->,thin] (7.4,3) -- node[above=2pt]{$\\rho$} (10.4,3);\n\n\n\\begin{scope}[shift={(12,0.3)}]\n\n\\draw (9,3) node{{$= \\rho(\\lambda)$}};\n\\draw (0,2.5) -- (0,-0.6) -- (1,-0.6) -- (1,1.5) -- (2,1.5) -- (2,2.5);\n\\draw [densely dashed] (0,2.5) -- (0,3.5);\n\\draw [densely dashed] (2,2.5) -- (3,2.5) -- (3,3.5);\n\\draw (3,3.5) -- (4,3.5) -- (4,4.5) -- (5.5,4.5) -- (5.5,5.5) -- (0,5.5) -- (0,3.5);\n\n\\draw [thick, blue] (0,5.5) -- (5.5,5.5); \n\\draw [thin, cyan] (0,5.5) -- (0,3.5); \n\\draw [thin, black] (0,-0.6) -- (0,2.5);\n\n\\draw[decoration={brace,raise=2pt},decorate] (0,5.5) -- node[above=2pt] {\\small $n_1 + \\dots + n_r$} (5.5,5.5);\n\\draw[decoration={brace,raise=2pt},decorate] (0,4.5) -- node[above=2pt] {\\tiny $n_1 + \\dots + n_{r-1}$} (4,4.5);\n\\draw[decoration={brace,raise=2pt},decorate] (0,1.5) -- node[above=2pt] {\\tiny $n_1$} (1,1.5);\n\n\\draw[decoration={brace,raise=2pt},decorate] (5.5,5.5) -- node[right=2.42pt] {\\small $m_r$} (5.5,4.5);\n\\draw[decoration={brace,raise=2pt},decorate] (4,4.5) -- node[right=2.82pt] {\\small $m_{r-1}-m_r$} (4,3.5);\n\\draw[decoration={brace,raise=2pt},decorate] (2,2.5) -- node[right=2.71pt] {\\small $m_2-m_3$} (2,1.5);\n\\draw[decoration={brace,raise=2pt},decorate] (1,1.5) -- node[right=1.17pt] {\\small $m_1-m_2$} (1,-0.6);\n\n\\draw [cyan,ultra thin] (4,5.5) -- (4,4.7);\n\\draw [green,ultra thick] (4.6,5.5) -- (4.6,4.7);\n\\draw [yellow,ultra thick] (4.9,5.5) -- (4.9,4.7);\n\\draw [yellow,ultra thin] (3.7,5.5) -- (3.7,3.7);\n\\draw [red,ultra thin] (3.4,5.5) -- (3.4,3.7);\n\\draw [yellow,ultra thin] (3.1,5.5) -- (3.1,3.7);\n\\draw [brown,ultra thick] (2.5,5.5) -- (2.5,2.7);\n\\draw [green,ultra thick] (2.2,4.7) -- (2.2,2.7);\n\\draw [black,ultra thick] (1.9,4.7) -- (1.9,2.7);\n\\draw [cyan,ultra thick] (1.6,4.7) -- (1.6,1.7);\n\\draw [green,ultra thick] (0.7,5.5) -- (0.7,3.3);\n\\draw [black,ultra thick] (0.4,5.5) -- (0.4,2.4);\n\\draw [brown,ultra thick] (1.3,2.7) -- (1.3,1.6);\n\\draw [green,ultra thin] (0.7,2.7) -- (0.7,2);\n\\draw [blue,ultra thick] (0.4,1.7) -- (0.4,-0.5);\n\\draw [black,ultra thin] (0.7,1.7) -- (0.7,-0.5);\n\\draw [orange,ultra thick] (0.1,-0.3) -- (0.9,-0.3);\n\\draw [blue,ultra thick] (0.1,0) -- (0.9,0);\n\\draw [orange,ultra thick] (0.1,0.3) -- (0.9,0.3);\n\\draw [red,ultra thick] (0.1,0.6) -- (0.9,0.6);\n\\draw [yellow,ultra thick] (0.1,1.2) -- (0.9,1.2);\n\\draw [black,ultra thick] (0.1,1.5) -- (0.9,1.5);\n\n\\draw [orange,ultra thin] (0.9,1.9) -- (1.9,1.9);\n\\draw [brown,ultra thin] (0.9,2.2) -- (1.9,2.2);\n\\draw [purple,ultra thick] (0.1,2.5) -- (1.9,2.5);\n\n\\draw [purple,ultra thick] (0.1,3.5) -- (2.9,3.5);\n\\draw [black,ultra thick] (1.1,3.2) -- (2.9,3.2);\n\\draw [yellow,ultra thin] (1.8,2.9) -- (2.9,2.9);\n\n\\draw [brown,ultra thin] (0.1,4.5) -- (3.9,4.5);\n\\draw [blue,ultra thick] (0.1,4.16) -- (3.9,4.16);\n\n\\draw [cyan,ultra thin] (0.1,4.85) -- (1.4,4.85);\n\\draw [black,ultra thin] (0.1,5.2) -- (1.4,5.2);\n\\draw [green,ultra thin] (2.3,5.2) -- (5.4,5.2);\n\\end{scope}\n\\end{tikzpicture}\n\n\\end{document}" ], "sample_images": [ "sample_38_0", "sample_38_1", "sample_38_2" ] }, { "tikz_code": "\\documentclass[a4paper,11pt]{article}\n\\usepackage[utf8]{inputenc}\n\\usepackage[T1]{fontenc}\n\\usepackage[usenames,dvipsnames]{xcolor}\n\\usepackage{amsmath}\n\\usepackage{amssymb}\n\\usepackage[colorlinks=true,urlcolor=Mahogany,linkcolor=Mahogany,citecolor=Mahogany,plainpages=false,pdfpagelabels, breaklinks]{hyperref}\n\\usepackage{tikz}\n\\usetikzlibrary{shapes.geometric,plotmarks,backgrounds,fit,calc,circuits.ee.IEC}\n\\usetikzlibrary{decorations.pathreplacing}\n\n\\begin{document}\n\n\\begin{tikzpicture}[scale=0.5]\n \\draw \n (0,0) node[draw, minimum size=3mm] (canal1) {$\\mathcal{W}$}\n (canal1) ++(0, -1.5) node[draw, minimum size=3mm] (canal2) {$\\mathcal{W}$}\n ($.5*(canal1)+.5*(canal2)$) ++(-2.2, 0) node[draw, minimum height=1.5cm] (C) {$C$}\n ;\n\n \\draw\n (canal1 -| C.east) to node[above] {} (canal1)\n (canal2 -| C.east) to node[above] {} (canal2)\n (canal1 -| C.west) to ++(-0.75, 0) node[left] {$A'_1$}\n (canal2 -| C.west) to ++(-0.75, 0) node[left] {$A'_2$}\n (canal1.east) to ++(0.75, 0) node[right] {$B_1$}\n (canal2.east) to ++(0.75, 0) node[right] {$B_2$}\n ;\n \n \\node[draw, dashed,minimum height = 22mm, fit=(C) (canal1) (canal2)] (combined) {};\n \\end{tikzpicture}\n\n\\end{document}", "original_image": "original_39", "generated_samples": [ "\\documentclass[a4paper,11pt]{article}\n\\usepackage[utf8]{inputenc}\n\\usepackage[T1]{fontenc}\n\\usepackage[usenames,dvipsnames]{xcolor}\n\\usepackage{amsmath}\n\\usepackage{amssymb}\n\\usepackage[colorlinks=true,urlcolor=Mahogany,linkcolor=Mahogany,citecolor=Mahogany,plainpages=false,pdfpagelabels, breaklinks]{hyperref}\n\\usepackage{tikz}\n\\usetikzlibrary{shapes.geometric,plotmarks,backgrounds,fit,calc,circuits.ee.IEC}\n\\usetikzlibrary{decorations.pathreplacing}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}[scale=0.5]\n \\draw \n (0.09,0.1) node[draw, minimum size=3mm] (canal1) {$\\mathcal{W}$}\n (canal1) ++(0, -1.5) node[draw, minimum size=3mm] (canal2) {$\\mathcal{W}$}\n ($.5*(canal1)+.5*(canal2)$) ++(-2.2, 0) node[draw, minimum height=1.65cm] (C) {$C$}\n ;\n\n \\draw\n (canal1 -| C.east) to node[above] {} (canal1)\n (canal2 -| C.east) to node[above] {} (canal2)\n (canal1 -| C.west) to ++(-0.75, 0) node[left] {$A'_1$}\n (canal2 -| C.west) to ++(-0.75, 0) node[left] {$A'_2$}\n (canal1.east) to ++(0.75, 0) node[right] {$B_1$}\n (canal2.east) to ++(0.75, 0) node[right] {$B_2$}\n ;\n \n \\node[draw, dotted,minimum height = 22mm, fit=(C) (canal1) (canal2)] (combined) {};\n \\end{tikzpicture}\n\n\\end{document}", "\\documentclass[a4paper,11pt]{article}\n\\usepackage[utf8]{inputenc}\n\\usepackage[T1]{fontenc}\n\\usepackage[usenames,dvipsnames]{xcolor}\n\\usepackage{amsmath}\n\\usepackage{amssymb}\n\\usepackage[colorlinks=true,urlcolor=Mahogany,linkcolor=Mahogany,citecolor=Mahogany,plainpages=false,pdfpagelabels, breaklinks]{hyperref}\n\\usepackage{tikz}\n\\usetikzlibrary{shapes.geometric,plotmarks,backgrounds,fit,calc,circuits.ee.IEC}\n\\usetikzlibrary{decorations.pathreplacing}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}[scale=0.5]\n \\draw \n (0.05,0.01) node[draw, minimum size=3mm] (canal1) {$\\mathcal{W}$}\n (canal1) ++(0, -1.5) node[draw, minimum size=3mm] (canal2) {$\\mathcal{W}$}\n ($.5*(canal1)+.5*(canal2)$) ++(-2.2, 0) node[draw, minimum height=1.69cm] (C) {$C$}\n ;\n\n \\draw\n (canal1 -| C.east) to node[above] {} (canal1)\n (canal2 -| C.east) to node[above] {} (canal2)\n (canal1 -| C.west) to ++(-0.75, 0) node[left] {$A'_1$}\n (canal2 -| C.west) to ++(-0.75, 0) node[left] {$A'_2$}\n (canal1.east) to ++(0.75, 0) node[right] {$B_1$}\n (canal2.east) to ++(0.75, 0) node[right] {$B_2$}\n ;\n \n \\node[draw, dotted,minimum height = 22mm, fit=(C) (canal1) (canal2)] (combined) {};\n \\end{tikzpicture}\n\n\\end{document}", "\\documentclass[a4paper,11pt]{article}\n\\usepackage[utf8]{inputenc}\n\\usepackage[T1]{fontenc}\n\\usepackage[usenames,dvipsnames]{xcolor}\n\\usepackage{amsmath}\n\\usepackage{amssymb}\n\\usepackage[colorlinks=true,urlcolor=Mahogany,linkcolor=Mahogany,citecolor=Mahogany,plainpages=false,pdfpagelabels, breaklinks]{hyperref}\n\\usepackage{tikz}\n\\usetikzlibrary{shapes.geometric,plotmarks,backgrounds,fit,calc,circuits.ee.IEC}\n\\usetikzlibrary{decorations.pathreplacing}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}[scale=0.5]\n \\draw \n (0,0) node[draw, minimum size=3mm] (canal1) {$\\mathcal{W}$}\n (canal1) ++(0, -1.5) node[draw, minimum size=3mm] (canal2) {$\\mathcal{W}$}\n ($.5*(canal1)+.5*(canal2)$) ++(-2.2, 0) node[draw, minimum height=1.69cm] (C) {$C$}\n ;\n\n \\draw\n (canal1 -| C.east) to node[above] {} (canal1)\n (canal2 -| C.east) to node[above] {} (canal2)\n (canal1 -| C.west) to ++(-0.75, 0) node[left] {$A'_1$}\n (canal2 -| C.west) to ++(-0.75, 0) node[left] {$A'_2$}\n (canal1.east) to ++(0.75, 0) node[right] {$B_1$}\n (canal2.east) to ++(0.75, 0) node[right] {$B_2$}\n ;\n \n \\node[draw, dotted,minimum height = 22mm, fit=(C) (canal1) (canal2)] (combined) {};\n \\end{tikzpicture}\n\n\\end{document}" ], "sample_images": [ "sample_39_0", "sample_39_1", "sample_39_2" ] }, { "tikz_code": "\\documentclass[a4paper,11pt]{article}\n\\usepackage[utf8]{inputenc}\n\\usepackage[T1]{fontenc}\n\\usepackage[usenames,dvipsnames]{xcolor}\n\\usepackage{amsmath}\n\\usepackage{amssymb}\n\\usepackage[colorlinks=true,urlcolor=Mahogany,linkcolor=Mahogany,citecolor=Mahogany,plainpages=false,pdfpagelabels, breaklinks]{hyperref}\n\\usepackage{tikz}\n\\usetikzlibrary{shapes.geometric,plotmarks,backgrounds,fit,calc,circuits.ee.IEC}\n\\usetikzlibrary{decorations.pathreplacing}\n\n\\begin{document}\n\n\\begin{tikzpicture}[scale=0.5]\n \\draw \n (0,0) node[draw, minimum size=3mm] (canal1) {$\\mathcal{W}$}\n (canal1) ++(0, -1.5) node[draw, minimum size=3mm] (canal2) {$\\mathcal{W}$}\n ($.5*(canal1)+.5*(canal2)$) ++(-2.2, 0) node[draw, minimum height=1.5cm] (C) {$C$}\n ;\n\n \\draw\n (canal1 -| C.east) to node[above] {} (canal1)\n (canal2 -| C.east) to node[above] {} (canal2)\n (canal2 -| C.west) to ++(-4.2, 0) node[left] {$A'_2$} \n (canal1.east) to ++(0.75, 0) node[right] (y1) {$B_1$}\n (canal2.east) to ++(0.75, 0) node[right] {$B_2$}\n (canal1 -| C.west) to ++(-0.5, 0) to ++(-.5, .5) node[left] (EPR) {$\\Phi_{A_1A'_1}$} coordinate (coude) to ++(.5, 1.0) coordinate (topline) to (topline -| y1.west) node[right] (R) {$A_1$}\n ;\n\n \\node[draw, dashed, fit=(EPR) (C) (coude) (topline) (canal2)] { };\n \\end{tikzpicture}\n\n\\end{document}", "original_image": "original_40", "generated_samples": [ "\\documentclass[a4paper,11pt]{article}\n\\usepackage[utf8]{inputenc}\n\\usepackage[T1]{fontenc}\n\\usepackage[usenames,dvipsnames]{xcolor}\n\\usepackage{amsmath}\n\\usepackage{amssymb}\n\\usepackage[colorlinks=true,urlcolor=Mahogany,linkcolor=Mahogany,citecolor=Mahogany,plainpages=false,pdfpagelabels, breaklinks]{hyperref}\n\\usepackage{tikz}\n\\usetikzlibrary{shapes.geometric,plotmarks,backgrounds,fit,calc,circuits.ee.IEC}\n\\usetikzlibrary{decorations.pathreplacing}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}[scale=0.5]\n \\draw \n (0,0) node[draw, minimum size=3mm] (canal1) {$\\mathcal{W}$}\n (canal1) ++(0, -1.5) node[draw, minimum size=3mm] (canal2) {$\\mathcal{W}$}\n ($.5*(canal1)+.5*(canal2)$) ++(-2.2, 0) node[draw, minimum height=1.66cm] (C) {$C$}\n ;\n\n \\draw\n (canal1 -| C.east) to node[above] {} (canal1)\n (canal2 -| C.east) to node[above] {} (canal2)\n (canal2 -| C.west) to ++(-4.2, 0) node[left] {$A'_2$} \n (canal1.east) to ++(0.75, 0) node[right] (y1) {$B_1$}\n (canal2.east) to ++(0.75, 0) node[right] {$B_2$}\n (canal1 -| C.west) to ++(-0.5, 0) to ++(-.5, .5) node[left] (EPR) {$\\Phi_{A_1A'_1}$} coordinate (coude) to ++(.5, 1.0) coordinate (topline) to (topline -| y1.west) node[right] (R) {$A_1$}\n ;\n\n \\node[draw,dotted,fit=(EPR)(C)(coude)(topline)(canal2)]{};\n \\end{tikzpicture}\n\n\\end{document}", "\\documentclass[a4paper,11pt]{article}\n\\usepackage[utf8]{inputenc}\n\\usepackage[T1]{fontenc}\n\\usepackage[usenames,dvipsnames]{xcolor}\n\\usepackage{amsmath}\n\\usepackage{amssymb}\n\\usepackage[colorlinks=true,urlcolor=Mahogany,linkcolor=Mahogany,citecolor=Mahogany,plainpages=false,pdfpagelabels, breaklinks]{hyperref}\n\\usepackage{tikz}\n\\usetikzlibrary{shapes.geometric,plotmarks,backgrounds,fit,calc,circuits.ee.IEC}\n\\usetikzlibrary{decorations.pathreplacing}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}[scale=0.5]\n \\draw \n (0.19,0.04) node[draw, minimum size=3mm] (canal1) {$\\mathcal{W}$}\n (canal1) ++(0, -1.5) node[draw, minimum size=3mm] (canal2) {$\\mathcal{W}$}\n ($.5*(canal1)+.5*(canal2)$) ++(-2.2, 0) node[draw, minimum height=1.63cm] (C) {$C$}\n ;\n\n \\draw\n (canal1 -| C.east) to node[above] {} (canal1)\n (canal2 -| C.east) to node[above] {} (canal2)\n (canal2 -| C.west) to ++(-4.2, 0) node[left] {$A'_2$} \n (canal1.east) to ++(0.75, 0) node[right] (y1) {$B_1$}\n (canal2.east) to ++(0.75, 0) node[right] {$B_2$}\n (canal1 -| C.west) to ++(-0.5, 0) to ++(-.5, .5) node[left] (EPR) {$\\Phi_{A_1A'_1}$} coordinate (coude) to ++(.5, 1.0) coordinate (topline) to (topline -| y1.west) node[right] (R) {$A_1$}\n ;\n\n \\node[draw,dotted,fit=(EPR)(C)(coude)(topline)(canal2)]{};\n \\end{tikzpicture}\n\n\\end{document}", "\\documentclass[a4paper,11pt]{article}\n\\usepackage[utf8]{inputenc}\n\\usepackage[T1]{fontenc}\n\\usepackage[usenames,dvipsnames]{xcolor}\n\\usepackage{amsmath}\n\\usepackage{amssymb}\n\\usepackage[colorlinks=true,urlcolor=Mahogany,linkcolor=Mahogany,citecolor=Mahogany,plainpages=false,pdfpagelabels, breaklinks]{hyperref}\n\\usepackage{tikz}\n\\usetikzlibrary{shapes.geometric,plotmarks,backgrounds,fit,calc,circuits.ee.IEC}\n\\usetikzlibrary{decorations.pathreplacing}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}[scale=0.5]\n \\draw \n (0,0) node[draw, minimum size=3mm] (canal1) {$\\mathcal{W}$}\n (canal1) ++(0, -1.5) node[draw, minimum size=3mm] (canal2) {$\\mathcal{W}$}\n ($.5*(canal1)+.5*(canal2)$) ++(-2.2, 0) node[draw, minimum height=1.04cm] (C) {$C$}\n ;\n\n \\draw\n (canal1 -| C.east) to node[above] {} (canal1)\n (canal2 -| C.east) to node[above] {} (canal2)\n (canal2 -| C.west) to ++(-4.2, 0) node[left] {$A'_2$} \n (canal1.east) to ++(0.75, 0) node[right] (y1) {$B_1$}\n (canal2.east) to ++(0.75, 0) node[right] {$B_2$}\n (canal1 -| C.west) to ++(-0.5, 0) to ++(-.5, .5) node[left] (EPR) {$\\Phi_{A_1A'_1}$} coordinate (coude) to ++(.5, 1.0) coordinate (topline) to (topline -| y1.west) node[right] (R) {$A_1$}\n ;\n\n \\node[draw,dotted,fit=(EPR)(C)(coude)(topline)(canal2)]{};\n \\end{tikzpicture}\n\n\\end{document}" ], "sample_images": [ "sample_40_0", "sample_40_1", "sample_40_2" ] }, { "tikz_code": "\\documentclass[runningheads]{llncs}\n\\usepackage{amsmath}\n\\usepackage{amssymb}\n\\usepackage{xcolor}\n\\usepackage[utf8]{inputenc}\n\\usepackage[T1]{fontenc}\n\\usepackage{tikz}\n\n\\begin{document}\n\n\\begin{tikzpicture}[scale=0.40]\n \\foreach \\i in {0,...,10}\n \\foreach \\j in {0,...,6}{\n \\draw (\\i,\\j) circle(3pt); }\n \\draw[gray] (0,0) grid (10,6);\n \\foreach \\i in {0,...,10}\n \\foreach \\j in {0,...,6}{\n \\fill[white] (\\i,\\j) circle(3pt); }\n \\foreach \\i in {0,...,6}{\n \\fill[black] (1,\\i) circle(3pt); }\n \\foreach \\i in {0,...,6}{\n \\fill[black] (9,\\i) circle(3pt); }\n \\foreach \\i in {2,...,8}{\n \\fill[black] (\\i,1) circle(3pt); }\n \\foreach \\i in {2,...,6}{\n \\fill[black] (4,\\i) circle(3pt); }\n \\foreach \\i in {2,...,6}{\n \\fill[black] (7,\\i) circle(3pt); }\n \\end{tikzpicture}\n\n\\end{document}", "original_image": "original_41", "generated_samples": [ "\\documentclass[runningheads]{llncs}\n\\usepackage{amsmath}\n\\usepackage{amssymb}\n\\usepackage{xcolor}\n\\usepackage[utf8]{inputenc}\n\\usepackage[T1]{fontenc}\n\\usepackage{tikz}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}[scale=0.40]\n \\foreach \\i in {0,...,10}\n \\foreach \\j in {0,...,6}{\n \\draw (\\i,\\j) circle(3pt); }\n \\draw[gray] (0.04,0.09) grid (10.21,6.06);\n \\foreach \\i in {0,...,10}\n \\foreach \\j in {0,...,6}{\n \\fill[green!40] (\\i,\\j) circle(3pt); }\n \\foreach \\i in {0,...,6}{\n \\fill[yellow!4] (1,\\i) circle(3pt); }\n \\foreach \\i in {0,...,6}{\n \\fill[cyan!70] (9,\\i) circle(3pt); }\n \\foreach \\i in {2,...,8}{\n \\fill[cyan!48] (\\i,1) circle(3pt); }\n \\foreach \\i in {2,...,6}{\n \\fill[green!29] (4,\\i) circle(3pt); }\n \\foreach \\i in {2,...,6}{\n \\fill[green!91] (7,\\i) circle(3pt); }\n \\end{tikzpicture}\n\n\\end{document}", "\\documentclass[runningheads]{llncs}\n\\usepackage{amsmath}\n\\usepackage{amssymb}\n\\usepackage{xcolor}\n\\usepackage[utf8]{inputenc}\n\\usepackage[T1]{fontenc}\n\\usepackage{tikz}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}[scale=0.40]\n \\foreach \\i in {0,...,10}\n \\foreach \\j in {0,...,6}{\n \\draw (\\i,\\j) circle(3pt); }\n \\draw[gray] (0,0) grid (10,6);\n \\foreach \\i in {0,...,10}\n \\foreach \\j in {0,...,6}{\n \\fill[yellow!27] (\\i,\\j) circle(3pt); }\n \\foreach \\i in {0,...,6}{\n \\fill[orange!67] (1,\\i) circle(3pt); }\n \\foreach \\i in {0,...,6}{\n \\fill[brown!88] (9,\\i) circle(3pt); }\n \\foreach \\i in {2,...,8}{\n \\fill[orange!69] (\\i,1) circle(3pt); }\n \\foreach \\i in {2,...,6}{\n \\fill[brown!2] (4,\\i) circle(3pt); }\n \\foreach \\i in {2,...,6}{\n \\fill[red!85] (7,\\i) circle(3pt); }\n \\end{tikzpicture}\n\n\\end{document}", "\\documentclass[runningheads]{llncs}\n\\usepackage{amsmath}\n\\usepackage{amssymb}\n\\usepackage{xcolor}\n\\usepackage[utf8]{inputenc}\n\\usepackage[T1]{fontenc}\n\\usepackage{tikz}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}[scale=0.40]\n \\foreach \\i in {0,...,10}\n \\foreach \\j in {0,...,6}{\n \\draw (\\i,\\j) circle(3pt); }\n \\draw[gray] (0,0) grid (10,6);\n \\foreach \\i in {0,...,10}\n \\foreach \\j in {0,...,6}{\n \\fill[orange!10] (\\i,\\j) circle(3pt); }\n \\foreach \\i in {0,...,6}{\n \\fill[yellow!18] (1,\\i) circle(3pt); }\n \\foreach \\i in {0,...,6}{\n \\fill[black!47] (9,\\i) circle(3pt); }\n \\foreach \\i in {2,...,8}{\n \\fill[cyan!63] (\\i,1) circle(3pt); }\n \\foreach \\i in {2,...,6}{\n \\fill[green!56] (4,\\i) circle(3pt); }\n \\foreach \\i in {2,...,6}{\n \\fill[purple!70] (7,\\i) circle(3pt); }\n \\end{tikzpicture}\n\n\\end{document}" ], "sample_images": [ "sample_41_0", "sample_41_1", "sample_41_2" ] }, { "tikz_code": "\\documentclass[runningheads]{llncs}\n\\usepackage{amsmath}\n\\usepackage{amssymb}\n\\usepackage{xcolor}\n\\usepackage[utf8]{inputenc}\n\\usepackage[T1]{fontenc}\n\\usepackage{tikz}\n\n\\begin{document}\n\n\\begin{tikzpicture}[scale=0.40]\n \\foreach \\i in {0,...,10}\n \\foreach \\j in {0,...,6}{\n \\draw (\\i,\\j) circle(3pt); }\n \\draw[gray] (0,0) grid (10,6);\n \\foreach \\i in {0,...,10}\n \\foreach \\j in {0,...,6}{\n \\fill[white] (\\i,\\j) circle(3pt); }\n \\foreach \\i in {0,...,10}{\n \\fill[black](\\i,1) circle(3pt);}\n \\foreach \\i in {0,...,10}{\n \\fill[black](\\i,5) circle(3pt);}\n \\foreach \\i in {2,...,10}{\n \\fill[black](\\i,4) circle(3pt);}\n \\foreach \\i in {2,...,4}{\n \\fill[black](1,\\i) circle(3pt);}\n \\end{tikzpicture}\n\n\\end{document}", "original_image": "original_42", "generated_samples": [ "\\documentclass[runningheads]{llncs}\n\\usepackage{amsmath}\n\\usepackage{amssymb}\n\\usepackage{xcolor}\n\\usepackage[utf8]{inputenc}\n\\usepackage[T1]{fontenc}\n\\usepackage{tikz}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}[scale=0.40]\n \\foreach \\i in {0,...,10}\n \\foreach \\j in {0,...,6}{\n \\draw (\\i,\\j) circle(3pt); }\n \\draw[gray] (0.04,0.16) grid (10.06,6.1);\n \\foreach \\i in {0,...,10}\n \\foreach \\j in {0,...,6}{\n \\fill[blue!8] (\\i,\\j) circle(3pt); }\n \\foreach \\i in {0,...,10}{\n \\fill[blue!26](\\i,1) circle(3pt);}\n \\foreach \\i in {0,...,10}{\n \\fill[blue!61](\\i,5) circle(3pt);}\n \\foreach \\i in {2,...,10}{\n \\fill[blue!80](\\i,4) circle(3pt);}\n \\foreach \\i in {2,...,4}{\n \\fill[purple!96](1,\\i) circle(3pt);}\n \\end{tikzpicture}\n\n\\end{document}", "\\documentclass[runningheads]{llncs}\n\\usepackage{amsmath}\n\\usepackage{amssymb}\n\\usepackage{xcolor}\n\\usepackage[utf8]{inputenc}\n\\usepackage[T1]{fontenc}\n\\usepackage{tikz}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}[scale=0.40]\n \\foreach \\i in {0,...,10}\n \\foreach \\j in {0,...,6}{\n \\draw (\\i,\\j) circle(3pt); }\n \\draw[gray] (0.19,0.07) grid (10.09,6.12);\n \\foreach \\i in {0,...,10}\n \\foreach \\j in {0,...,6}{\n \\fill[purple!30] (\\i,\\j) circle(3pt); }\n \\foreach \\i in {0,...,10}{\n \\fill[orange!18](\\i,1) circle(3pt);}\n \\foreach \\i in {0,...,10}{\n \\fill[blue!64](\\i,5) circle(3pt);}\n \\foreach \\i in {2,...,10}{\n \\fill[orange!30](\\i,4) circle(3pt);}\n \\foreach \\i in {2,...,4}{\n \\fill[yellow!41](1,\\i) circle(3pt);}\n \\end{tikzpicture}\n\n\\end{document}", "\\documentclass[runningheads]{llncs}\n\\usepackage{amsmath}\n\\usepackage{amssymb}\n\\usepackage{xcolor}\n\\usepackage[utf8]{inputenc}\n\\usepackage[T1]{fontenc}\n\\usepackage{tikz}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}[scale=0.40]\n \\foreach \\i in {0,...,10}\n \\foreach \\j in {0,...,6}{\n \\draw (\\i,\\j) circle(3pt); }\n \\draw[gray] (0,0) grid (10,6);\n \\foreach \\i in {0,...,10}\n \\foreach \\j in {0,...,6}{\n \\fill[blue!23] (\\i,\\j) circle(3pt); }\n \\foreach \\i in {0,...,10}{\n \\fill[black!38](\\i,1) circle(3pt);}\n \\foreach \\i in {0,...,10}{\n \\fill[brown!24](\\i,5) circle(3pt);}\n \\foreach \\i in {2,...,10}{\n \\fill[yellow!81](\\i,4) circle(3pt);}\n \\foreach \\i in {2,...,4}{\n \\fill[orange!69](1,\\i) circle(3pt);}\n \\end{tikzpicture}\n\n\\end{document}" ], "sample_images": [ "sample_42_0", "sample_42_1", "sample_42_2" ] }, { "tikz_code": "\\documentclass[11pt,notitlepage]{article}\n\\usepackage{amsmath}\n\\usepackage{tikz}\n\\usetikzlibrary{calc}\n\\usetikzlibrary{arrows,positioning}\n\\tikzset{\n\t \t%Define standard arrow tip\n\t \t >=stealth',\n\t \t%Define style for boxes and arrows\n\t \t diskret/.style={rectangle,rounded corners,draw=black,text width=8em,minimum height=2em,text centered},\n\t\t osynlig/.style={rectangle,rounded corners,draw=white,text width=8em,minimum height=2em,text centered},\n\t\t streckad/.style={rectangle,rounded corners,draw=black,dashed,text width=8em,minimum height=2em,text centered},\n\t \t stor/.style={rectangle, rounded corners,draw=white, text width=12em, minimum height=1em},\n\t \t pil/.style={->,shorten <=3pt,shorten >=3pt,},\n\t \t pils/.style={->,draw=aqua, thick,shorten <=3pt,shorten >=3pt,}\n\t\t}\n\n\\begin{document}\n\n\\begin{tikzpicture}[node distance=1cm, auto,]\n\t\t\\path (0,4) node[diskret] (hl) {HL \\\\ Start=4,479 \\\\ End=2,556};\n\t\t\\path (7,4) node[diskret] (dcs) {DCS \\\\ Start=0 \\\\ End=425};\n\t\t\\path (0,1) node [diskret] (dead) {Dead before DCS \\\\ Start=0 \\\\ End=978};\n\t\t\\path (7,1) node[diskret] (dcsdead) {Dead after DCS \\\\ Start=0 \\\\ End=520};\n\t\t\\draw[->,thick,solid] ($(hl.east)+(0.1,0)$) -- node [midway, above] {$n=945$} ($(dcs.west)+(-0.1,0)$);\n\t\t\\draw[->,thick,solid] ($(hl.south)+(0,-0.1)$) -- node [midway, left] {$n=978$} ($(dead.north)+(0,0.1)$);\n\t\t\\draw[->,thick,solid] ($(dcs.south)+(0,-0.1)$) -- node [midway, left] {$n=520$} ($(dcsdead.north)+(0,0.1)$);\n\t\t\t\\end{tikzpicture}\n\n\\end{document}", "original_image": "original_43", "generated_samples": [ "\\documentclass[11pt,notitlepage]{article}\n\\usepackage{amsmath}\n\\usepackage{tikz}\n\\usetikzlibrary{calc}\n\\usetikzlibrary{arrows,positioning}\n\\tikzset{\n\t \t%Define standard arrow tip\n\t \t >=stealth',\n\t \t%Define style for boxes and arrows\n\t \t diskret/.style={rectangle,rounded corners,draw=purple!95,text width=8em,minimum height=2.26em,text centered},\n\t\t osynlig/.style={rectangle,rounded corners,draw=cyan!38,text width=8em,minimum height=2.74em,text centered},\n\t\t streckad/.style={rectangle,rounded corners,draw=green!100,dotted,text width=8em,minimum height=1.28em,text centered},\n\t \t stor/.style={rectangle, rounded corners,draw=green!21, text width=12em, minimum height=1.29em},\n\t \t pil/.style={->,shorten <=3pt,shorten >=3pt,},\n\t \t pils/.style={->,draw=brown!97, thin,shorten <=3pt,shorten >=3pt,}\n\t\t}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}[node distance=1.53cm, auto,]\n\t\t\\path (0,4) node[diskret] (hl) {hectoliter \\\\ Start=4,479 \\\\ End=2,556};\n\t\t\\path (7,4) node[diskret] (dcs) {District of Columbia \\\\ Start=0 \\\\ End=425};\n\t\t\\path (0.18,1.13) node [diskret] (dead) {dead before D.C. \\\\ Start=0 \\\\ End=978};\n\t\t\\path (7,1) node[diskret] (dcsdead) {dead after DC \\\\ Start=0 \\\\ End=520};\n\t\t\\draw[->,thick,dashed] ($(hl.east)+(0.1,0)$) -- node [midway, above] {$n=945$} ($(dcs.west)+(-0.1,0)$);\n\t\t\\draw[->,thick,dashed] ($(hl.south)+(0,-0.1)$) -- node [midway, left] {$n=978$} ($(dead.north)+(0,0.1)$);\n\t\t\\draw[->,thick,dashed] ($(dcs.south)+(0,-0.1)$) -- node [midway, left] {$n=520$} ($(dcsdead.north)+(0,0.1)$);\n\t\t\t\\end{tikzpicture}\n\n\\end{document}", "\\documentclass[11pt,notitlepage]{article}\n\\usepackage{amsmath}\n\\usepackage{tikz}\n\\usetikzlibrary{calc}\n\\usetikzlibrary{arrows,positioning}\n\\tikzset{\n\t \t%Define standard arrow tip\n\t \t >=stealth',\n\t \t%Define style for boxes and arrows\n\t \t diskret/.style={rectangle,rounded corners,draw=brown!46,text width=8em,minimum height=1.24em,text centered},\n\t\t osynlig/.style={rectangle,rounded corners,draw=red!68,text width=8em,minimum height=1.91em,text centered},\n\t\t streckad/.style={rectangle,rounded corners,draw=cyan!0,dotted,text width=8em,minimum height=1.5em,text centered},\n\t \t stor/.style={rectangle, rounded corners,draw=green!18, text width=12em, minimum height=0.06em},\n\t \t pil/.style={->,shorten <=3pt,shorten >=3pt,},\n\t \t pils/.style={->,draw=red!21, thick,shorten <=3pt,shorten >=3pt,}\n\t\t}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}[node distance=1.72cm, auto,]\n\t\t\\path (0,4) node[diskret] (hl) {hl \\\\ Start=4,479 \\\\ End=2,556};\n\t\t\\path (7,4) node[diskret] (dcs) {D.C. \\\\ Start=0 \\\\ End=425};\n\t\t\\path (0,1) node [diskret] (dead) {drained before District of Columbia \\\\ Start=0 \\\\ End=978};\n\t\t\\path (7.06,1.05) node[diskret] (dcsdead) {bushed after direct current \\\\ Start=0 \\\\ End=520};\n\t\t\\draw[->,thin,dashed] ($(hl.east)+(0.1,0)$) -- node [midway, above] {$n=945$} ($(dcs.west)+(-0.1,0)$);\n\t\t\\draw[->,thick,dashed] ($(hl.south)+(0,-0.1)$) -- node [midway, left] {$n=978$} ($(dead.north)+(0,0.1)$);\n\t\t\\draw[->,thin,dotted] ($(dcs.south)+(0,-0.1)$) -- node [midway, left] {$n=520$} ($(dcsdead.north)+(0,0.1)$);\n\t\t\t\\end{tikzpicture}\n\n\\end{document}", "\\documentclass[11pt,notitlepage]{article}\n\\usepackage{amsmath}\n\\usepackage{tikz}\n\\usetikzlibrary{calc}\n\\usetikzlibrary{arrows,positioning}\n\\tikzset{\n\t \t%Define standard arrow tip\n\t \t >=stealth',\n\t \t%Define style for boxes and arrows\n\t \t diskret/.style={rectangle,rounded corners,draw=black!60,text width=8em,minimum height=1.47em,text centered},\n\t\t osynlig/.style={rectangle,rounded corners,draw=red!70,text width=8em,minimum height=1.34em,text centered},\n\t\t streckad/.style={rectangle,rounded corners,draw=blue!84,dotted,text width=8em,minimum height=2.58em,text centered},\n\t \t stor/.style={rectangle, rounded corners,draw=orange!71, text width=12em, minimum height=1.22em},\n\t \t pil/.style={->,shorten <=3pt,shorten >=3pt,},\n\t \t pils/.style={->,draw=brown!65, thick,shorten <=3pt,shorten >=3pt,}\n\t\t}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}[node distance=1.62cm, auto,]\n\t\t\\path (0,4) node[diskret] (hl) {hectoliter \\\\ Start=4,479 \\\\ End=2,556};\n\t\t\\path (7,4) node[diskret] (dcs) {D.C. \\\\ Start=0 \\\\ End=425};\n\t\t\\path (0,1) node [diskret] (dead) {short before D.C. \\\\ Start=0 \\\\ End=978};\n\t\t\\path (7,1) node[diskret] (dcsdead) {dead after D.C. \\\\ Start=0 \\\\ End=520};\n\t\t\\draw[->,thin,dotted] ($(hl.east)+(0.1,0)$) -- node [midway, above] {$n=945$} ($(dcs.west)+(-0.1,0)$);\n\t\t\\draw[->,thin,dashed] ($(hl.south)+(0,-0.1)$) -- node [midway, left] {$n=978$} ($(dead.north)+(0,0.1)$);\n\t\t\\draw[->,thin,dashed] ($(dcs.south)+(0,-0.1)$) -- node [midway, left] {$n=520$} ($(dcsdead.north)+(0,0.1)$);\n\t\t\t\\end{tikzpicture}\n\n\\end{document}" ], "sample_images": [ "sample_43_0", "sample_43_1", "sample_43_2" ] }, { "tikz_code": "\\documentclass[11pt,notitlepage]{article}\n\\usepackage{amsmath}\n\\usepackage{tikz}\n\\usetikzlibrary{calc}\n\\usetikzlibrary{arrows,positioning}\n\\tikzset{\n\t \t%Define standard arrow tip\n\t \t >=stealth',\n\t \t%Define style for boxes and arrows\n\t \t diskret/.style={rectangle,rounded corners,draw=black,text width=8em,minimum height=2em,text centered},\n\t\t osynlig/.style={rectangle,rounded corners,draw=white,text width=8em,minimum height=2em,text centered},\n\t\t streckad/.style={rectangle,rounded corners,draw=black,dashed,text width=8em,minimum height=2em,text centered},\n\t \t stor/.style={rectangle, rounded corners,draw=white, text width=12em, minimum height=1em},\n\t \t pil/.style={->,shorten <=3pt,shorten >=3pt,},\n\t \t pils/.style={->,draw=aqua, thick,shorten <=3pt,shorten >=3pt,}\n\t\t}\n\n\\begin{document}\n\n\\begin{tikzpicture}\n\t\\path (-5,3.2) node[stor] (ts) { Time scales: \\\\ $t$: Time since cancer \\\\ $a$: Age at cancer diagnosis \\\\ $c$: Year of cancer diagnosis \\\\ $u$: Time of illness};\n \t\\path (0,4) node[diskret] (hl) {State 1: \\\\ Alive with cancer};\n\t\\path (7,5) node[osynlig] (dcs) {State 2:};\n\t\\path\t(7,4.2) node[streckad] (expdcs) {Expected illness};\n\t\\path\t(7,3.2) node[streckad] (excdcs) {Excess illness};\n\t\\path\t(0,0) node[diskret] (dead) {State 3: \\\\ Dead before illness};\n\t\\path\t(7,0) node[diskret] (dcsdead){State 4: \\\\ Dead after illness};\n\t\\path (8,5) node[osynlig] (A) {};\n\t\\draw[thick, solid, rounded corners] ($(dcs.north west)+(-0.2,0.05)$) rectangle ($(excdcs.south east)+(0.2,-0.2)$);\n\t\\draw[->,thick, solid] ($(hl.east)+(0.1,0)$) -- node [text width = 2.2cm, midway, above] {$h_{1}^*(t+a,t+c) $} ($(expdcs.west)+(-0.1,0)$);\n\t\\draw[->,thick, dotted] ($(hl.east)+(0.1,0)$) -- node [text width = 0.9cm, midway, below] {$\\lambda_{2}(t)$} ($(excdcs.west)+(-0.1,0)$);\n\t\\draw[->,thick, solid] ($(hl.south)+(0,-0.1)$) -- node [text width = 1cm, midway, right] {$h_3(t)$} 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fill = white,\n minimum size = 8mm\n ]\n\n \\node[state] (v0) {$\\cos$};\n \\node[state] (v1) [above right of=v0] {$\\cos$};\n \\node[state] (v2) [below right of=v0] {$\\cos$};\n \\node[state] (v3) [right of=v1] {$\\cos$};\n \\node[state] (v4) [below right of=v1] {$\\cos$};\n \n \\path[->] (v0) edge (v1);\n \\path[->] (v0) edge (v2);\n \\path[->] (v1) edge (v3);\n \\path[->] (v1) edge (v4);\n \\end{tikzpicture}\n\n\\end{document}", "\\documentclass[twoside,11pt]{article}\n\\usepackage[utf8]{inputenc}\n\\usepackage{amssymb}\n\\usepackage{amsmath}\n\\usepackage{pgf, tikz}\n\\usetikzlibrary{arrows,automata,fit}\n\\usepgflibrary{shapes.geometric}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}[\n > = stealth, % arrow head style\n shorten > = 1pt, % don't touch arrow head to node\n auto,\n node distance = 2cm, % distance between nodes\n thick % line style\n ]\n\n \\tikzstyle{every state}=[\n draw = cyan,\n thick,\n fill = white,\n minimum size = 8mm\n ]\n\n \\node[state] (v0) {$\\cos$};\n \\node[state] (v1) [above right of=v0] {$\\cos$};\n \\node[state] (v2) [below right of=v0] {$\\cos$};\n \\node[state] (v3) [right of=v1] {$\\cos$};\n \\node[state] (v4) [below right of=v1] {$\\cos$};\n \n \\path[->] (v0) edge (v2);\n \\path[->] (v1) edge (v3);\n \\path[->] (v1) edge (v4);\n \\end{tikzpicture}\n\n\\end{document}" ], "sample_images": [ "sample_53_0", "sample_53_1", "sample_53_2" ] }, { "tikz_code": "\\documentclass[twoside,11pt]{article}\n\\usepackage[utf8]{inputenc}\n\\usepackage{amssymb}\n\\usepackage{amsmath}\n\\usepackage{pgf, tikz}\n\\usetikzlibrary{arrows,automata,fit}\n\\usepgflibrary{shapes.geometric}\n\n\\begin{document}\n\n\\begin{tikzpicture}[\n > = stealth, % arrow head style\n shorten > = 1pt, % don't touch arrow head to node\n auto,\n node distance = 3cm, % distance between nodes\n semithick % line style\n ]\n\n \\tikzstyle{every state}=[\n draw = black,\n thick,\n fill = white,\n minimum size = 8mm\n ]\n \\tikzstyle{frame} = [thick, draw=black, dotted,inner sep=0em,minimum height=5cm,minimum width=1cm] \n \n \\node (v0) at (0,0) {$v_0$}; \n \\node (v1) at (1.5,1) {$v_1$};\n \\node (v2) at (1.5,-1) {$v_2$}; \n \\node[rectangle,draw] (v3) at (3,1.5) {$v_3$};\n \\node[circle,draw] (v4) at (3,0.5) {$v_4$}; \n \\node[circle,draw] (v5) at (3,-0.5) {$v_5$};\n \\node[rectangle,draw] (v6) at (3,-1.5) {$v_6$}; \n \\node(v7) at (4.5,1.75) {$v_7$};\n \\node (v8) at (4.5,1.25) {$v_8$};\n \\node (v9) at (4.5,0.75) {$v_9$};\n \\node (v10) at (4.5,0.25) {$v_{10}$}; \n \\node (v11) at (4.5,-0.25) {$v_{11}$};\n \\node (v12) at (4.5,-0.75) {$v_{12}$}; \n \\node(v13) at (4.5,-1.25) {$v_{13}$};\n \\node (v14) at (4.5,-1.75) {$v_{14}$};\n \n \\path[->] (v0) edge (v1);\n \\path[->] (v0) edge (v2);\n \\path[->] (v1) edge (v3);\n \\path[->] (v1) edge (v4);\n \\path[->] (v2) edge (v5);\n \\path[->] (v2) edge (v6);\n \\path[->] (v3) edge (v7);\n \\path[->] (v3) edge (v8);\n \\path[->] (v4) edge (v9);\n \\path[->] (v4) edge (v10);\n \\path[->] (v5) edge (v11);\n \\path[->] (v5) edge (v12);\n \\path[->] (v6) edge (v13);\n \\path[->] (v6) edge (v14); \n \\end{tikzpicture}\n\n\\end{document}", "original_image": "original_54", "generated_samples": [ "\\documentclass[twoside,11pt]{article}\n\\usepackage[utf8]{inputenc}\n\\usepackage{amssymb}\n\\usepackage{amsmath}\n\\usepackage{pgf, tikz}\n\\usetikzlibrary{arrows,automata,fit}\n\\usepgflibrary{shapes.geometric}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}[\n > = stealth, % arrow head style\n shorten > = 1pt, % don't touch arrow head to node\n auto,\n node distance = 3cm, % distance between nodes\n thick % line style\n ]\n\n \\tikzstyle{every state}=[\n draw = orange,\n thin,\n fill = white,\n minimum size = 8mm\n ]\n \\tikzstyle{frame} = [thick, draw=red!15, dashed,inner sep=0em,minimum height=4.5cm,minimum width=1.88cm] \n \n \\node (v0) at (0,0) {$\\cos$}; \n \\node (v1) at (1.5,1) {$\\cos$};\n \\node (v2) at (1.5,-1) {$\\cos$}; \n \\node[rectangle,draw] (v3) at (3,1.5) {$\\cos$};\n \\node[circle,draw] (v4) at (3,0.5) {$\\cos$}; \n \\node[circle,draw] (v5) at (3,-0.5) {$\\cos$};\n \\node[rectangle,draw] (v6) at (3,-1.5) {$\\cos$}; \n \\node(v7) at (4.5,1.75) {$\\cos$};\n \\node (v8) at (4.5,1.25) {$\\cos$};\n \\node (v9) at (4.5,0.75) {$\\cos$};\n \\node (v10) at (4.5,0.25) {$v_{10}$}; \n \\node (v11) at (4.5,-0.25) {$v_{11}$};\n \\node (v12) at (4.5,-0.75) {$v_{12}$}; \n \\node(v13) at (4.5,-1.25) {$v_{13}$};\n \\node (v14) at (4.5,-1.75) {$v_{14}$};\n \n \\path[->] (v0) edge (v2);\n \\path[->] (v1) edge (v3);\n \\path[->] (v1) edge (v4);\n \\path[->] (v2) edge (v5);\n \\path[->] (v2) edge (v6);\n \\path[->] (v3) edge (v7);\n \\path[->] (v3) edge (v8);\n \\path[->] (v4) edge (v9);\n \\path[->] (v4) edge (v10);\n \\path[->] (v5) edge (v11);\n \\path[->] (v5) edge (v12);\n \\path[->] (v6) edge (v13);\n \\path[->] (v6) edge (v14); \n \\end{tikzpicture}\n\n\\end{document}", "\\documentclass[twoside,11pt]{article}\n\\usepackage[utf8]{inputenc}\n\\usepackage{amssymb}\n\\usepackage{amsmath}\n\\usepackage{pgf, tikz}\n\\usetikzlibrary{arrows,automata,fit}\n\\usepgflibrary{shapes.geometric}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}[\n > = stealth, % arrow head style\n shorten > = 1pt, % don't touch arrow head to node\n auto,\n node distance = 3cm, % distance between nodes\n thick % line style\n ]\n\n \\tikzstyle{every state}=[\n draw = blue,\n thin,\n fill = white,\n minimum size = 8mm\n ]\n \\tikzstyle{frame} = [thin, draw=blue!24, dashed,inner sep=0em,minimum height=4.25cm,minimum width=0.25cm] \n \n \\node (v0) at (0,0) {$\\cos$}; \n \\node (v1) at (1.5,1) {$\\cos$};\n \\node (v2) at (1.5,-1) {$\\cos$}; \n \\node[rectangle,draw] (v3) at (3,1.5) {$\\cos$};\n \\node[circle,draw] (v4) at (3,0.5) {$\\cos$}; \n \\node[circle,draw] (v5) at (3,-0.5) {$\\cos$};\n \\node[rectangle,draw] (v6) at (3,-1.5) {$\\cos$}; \n \\node(v7) at (4.5,1.75) {$\\cos$};\n \\node (v8) at (4.5,1.25) {$\\cos$};\n \\node (v9) at (4.5,0.75) {$\\cos$};\n \\node (v10) at (4.5,0.25) {$v_{10}$}; \n \\node (v11) at (4.5,-0.25) {$v_{11}$};\n \\node (v12) at (4.5,-0.75) {$v_{12}$}; \n \\node(v13) at (4.5,-1.25) {$v_{13}$};\n \\node (v14) at (4.5,-1.75) {$v_{14}$};\n \n \\path[->] (v0) edge (v1);\n \\path[->] (v0) edge (v2);\n \\path[->] (v1) edge (v3);\n \\path[->] (v2) edge (v5);\n \\path[->] (v2) edge (v6);\n \\path[->] (v4) edge (v10);\n \\path[->] (v5) edge (v11);\n \\path[->] (v5) edge (v12);\n \\path[->] (v6) edge (v14); \n \\end{tikzpicture}\n\n\\end{document}", "\\documentclass[twoside,11pt]{article}\n\\usepackage[utf8]{inputenc}\n\\usepackage{amssymb}\n\\usepackage{amsmath}\n\\usepackage{pgf, tikz}\n\\usetikzlibrary{arrows,automata,fit}\n\\usepgflibrary{shapes.geometric}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}[\n > = stealth, % arrow head style\n shorten > = 1pt, % don't touch arrow head to node\n auto,\n node distance = 3cm, % distance between nodes\n thin % line style\n ]\n\n \\tikzstyle{every state}=[\n draw = brown,\n thick,\n fill = white,\n minimum size = 8mm\n ]\n \\tikzstyle{frame} = [thick, draw=black!7, dashed,inner sep=0em,minimum height=4.45cm,minimum width=1.23cm] \n \n \\node (v0) at (0,0) {$\\cos$}; \n \\node (v1) at (1.5,1) {$\\cos$};\n \\node (v2) at (1.5,-1) {$\\cos$}; \n \\node[rectangle,draw] (v3) at (3,1.5) {$\\cos$};\n \\node[circle,draw] (v4) at (3,0.5) {$\\cos$}; \n \\node[circle,draw] (v5) at (3,-0.5) {$\\cos$};\n \\node[rectangle,draw] (v6) at (3,-1.5) {$\\cos$}; \n \\node(v7) at (4.5,1.75) {$\\cos$};\n \\node (v8) at (4.5,1.25) {$\\cos$};\n \\node (v9) at (4.5,0.75) {$\\cos$};\n \\node (v10) at (4.5,0.25) {$v_{10}$}; \n \\node (v11) at (4.5,-0.25) {$v_{11}$};\n \\node (v12) at (4.5,-0.75) {$v_{12}$}; \n \\node(v13) at (4.5,-1.25) {$v_{13}$};\n \\node (v14) at (4.5,-1.75) {$v_{14}$};\n \n \\path[->] (v0) edge (v1);\n \\path[->] (v0) edge (v2);\n \\path[->] (v1) edge (v3);\n \\path[->] (v1) edge (v4);\n \\path[->] (v2) edge (v5);\n \\path[->] (v3) edge (v7);\n \\path[->] (v3) edge (v8);\n \\path[->] (v4) edge (v9);\n \\path[->] (v4) edge (v10);\n \\path[->] (v5) edge (v12);\n \\path[->] (v6) edge (v13);\n \\end{tikzpicture}\n\n\\end{document}" ], "sample_images": [ "sample_54_0", "sample_54_1", "sample_54_2" ] }, { "tikz_code": "\\documentclass[twoside,11pt]{article}\n\\usepackage[utf8]{inputenc}\n\\usepackage{amssymb}\n\\usepackage{amsmath}\n\\usepackage{pgf, tikz}\n\\usetikzlibrary{arrows,automata,fit}\n\\usepgflibrary{shapes.geometric}\n\n\\begin{document}\n\n\\begin{tikzpicture}[\n > = stealth, % arrow head style\n shorten > = 1pt, % don't touch arrow head to node\n auto,\n node distance = 2cm, % distance between nodes\n semithick % line style\n ]\n\n \\tikzstyle{every state}=[\n draw = black,\n thick,\n fill = white,\n minimum size = 8mm\n ]\n\n \\node[state] (c) {$C$};\n \\node[state] (x1) [below left of=c] {$X_1$};\n \\node[state] (x2) [below of=c] {$X_2$};\n \\node[state] (x3) [below right of=c] {$X_3$};\n \n \\path[->] (c) edge (x1);\n \\path[->] (c) edge (x2);\n \\path[->] (c) edge (x3);\n \n \\end{tikzpicture}\n\n\\end{document}", "original_image": "original_55", "generated_samples": [ "\\documentclass[twoside,11pt]{article}\n\\usepackage[utf8]{inputenc}\n\\usepackage{amssymb}\n\\usepackage{amsmath}\n\\usepackage{pgf, tikz}\n\\usetikzlibrary{arrows,automata,fit}\n\\usepgflibrary{shapes.geometric}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}[\n > = stealth, % arrow head style\n shorten > = 1pt, % don't touch arrow head to node\n auto,\n node distance = 2cm, % distance between nodes\n thick % line style\n ]\n\n \\tikzstyle{every state}=[\n draw = blue,\n thin,\n fill = white,\n minimum size = 8mm\n ]\n\n \\node[state] (c) {$\\cos$};\n \\node[state] (x1) [below left of=c] {$\\cos$};\n \\node[state] (x2) [below of=c] {$\\cos$};\n \\node[state] (x3) [below right of=c] {$\\cos$};\n \n \\path[->] (c) edge (x2);\n \\path[->] (c) edge (x3);\n \n \\end{tikzpicture}\n\n\\end{document}", "\\documentclass[twoside,11pt]{article}\n\\usepackage[utf8]{inputenc}\n\\usepackage{amssymb}\n\\usepackage{amsmath}\n\\usepackage{pgf, tikz}\n\\usetikzlibrary{arrows,automata,fit}\n\\usepgflibrary{shapes.geometric}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}[\n > = stealth, % arrow head style\n shorten > = 1pt, % don't touch arrow head to node\n auto,\n node distance = 2cm, % distance between nodes\n thin % line style\n ]\n\n \\tikzstyle{every state}=[\n draw = black,\n thick,\n fill = white,\n minimum size = 8mm\n ]\n\n \\node[state] (c) {$\\cos$};\n \\node[state] (x1) [below left of=c] {$\\cos$};\n \\node[state] (x2) [below of=c] {$\\cos$};\n \\node[state] (x3) [below right of=c] {$\\cos$};\n \n \\path[->] (c) edge (x1);\n \\path[->] (c) edge (x3);\n \n \\end{tikzpicture}\n\n\\end{document}", "\\documentclass[twoside,11pt]{article}\n\\usepackage[utf8]{inputenc}\n\\usepackage{amssymb}\n\\usepackage{amsmath}\n\\usepackage{pgf, tikz}\n\\usetikzlibrary{arrows,automata,fit}\n\\usepgflibrary{shapes.geometric}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}[\n > = stealth, % arrow head style\n shorten > = 1pt, % don't touch arrow head to node\n auto,\n node distance = 2cm, % distance between nodes\n thin % line style\n ]\n\n \\tikzstyle{every state}=[\n draw = yellow,\n thick,\n fill = white,\n minimum size = 8mm\n ]\n\n \\node[state] (c) {$\\cos$};\n \\node[state] (x1) [below left of=c] {$\\cos$};\n \\node[state] (x2) [below of=c] {$\\cos$};\n \\node[state] (x3) [below right of=c] {$\\cos$};\n \n \\path[->] (c) edge (x1);\n \\path[->] (c) edge (x2);\n \\path[->] (c) edge (x3);\n \n \\end{tikzpicture}\n\n\\end{document}" ], "sample_images": [ "sample_55_0", "sample_55_1", "sample_55_2" ] }, { "tikz_code": "\\documentclass[twoside,11pt]{article}\n\\usepackage[utf8]{inputenc}\n\\usepackage{amssymb}\n\\usepackage{amsmath}\n\\usepackage{pgf, tikz}\n\\usetikzlibrary{arrows,automata,fit}\n\\usepgflibrary{shapes.geometric}\n\n\\begin{document}\n\n\\begin{tikzpicture}[\n > = stealth, % arrow head style\n shorten > = 1pt, % don't touch arrow head to node\n auto,\n node distance = 2cm, % distance between nodes\n semithick % line style\n ]\n\n \\tikzstyle{every state}=[\n draw = black,\n thick,\n fill = white,\n minimum size = 8mm\n ]\n\n \\node[state] (c) {$C$};\n \\node[state] (x2) [below left of=c] {$X_2$};\n \\node[state] (x1) [below of=c] {$X_1$};\n \\node[state] (x3) [below right of=c] {$X_3$};\n \n \\path[->] (c) edge (x1);\n \\path[->] (c) edge (x2);\n \\path[->] (c) edge (x3);\n \\path[->] (x1) edge (x2);\n \\path[->] (x1) edge (x3);\n \n \\end{tikzpicture}\n\n\\end{document}", "original_image": "original_56", "generated_samples": [ "\\documentclass[twoside,11pt]{article}\n\\usepackage[utf8]{inputenc}\n\\usepackage{amssymb}\n\\usepackage{amsmath}\n\\usepackage{pgf, tikz}\n\\usetikzlibrary{arrows,automata,fit}\n\\usepgflibrary{shapes.geometric}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}[\n > = stealth, % arrow head style\n shorten > = 1pt, % don't touch arrow head to node\n auto,\n node distance = 2cm, % distance between nodes\n thick % line style\n ]\n\n \\tikzstyle{every state}=[\n draw = red,\n thick,\n fill = white,\n minimum size = 8mm\n ]\n\n \\node[state] (c) {$\\cos$};\n \\node[state] (x2) [below left of=c] {$\\cos$};\n \\node[state] (x1) [below of=c] {$\\cos$};\n \\node[state] (x3) [below right of=c] {$\\cos$};\n \n \\path[->] (c) edge (x1);\n \\path[->] (c) edge (x2);\n \\path[->] (c) edge (x3);\n \\path[->] (x1) edge (x2);\n \n \\end{tikzpicture}\n\n\\end{document}", "\\documentclass[twoside,11pt]{article}\n\\usepackage[utf8]{inputenc}\n\\usepackage{amssymb}\n\\usepackage{amsmath}\n\\usepackage{pgf, tikz}\n\\usetikzlibrary{arrows,automata,fit}\n\\usepgflibrary{shapes.geometric}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}[\n > = stealth, % arrow head style\n shorten > = 1pt, % don't touch arrow head to node\n auto,\n node distance = 2cm, % distance between nodes\n thin % line style\n ]\n\n \\tikzstyle{every state}=[\n draw = brown,\n thin,\n fill = white,\n minimum size = 8mm\n ]\n\n \\node[state] (c) {$\\cos$};\n \\node[state] (x2) [below left of=c] {$\\cos$};\n \\node[state] (x1) [below of=c] {$\\cos$};\n \\node[state] (x3) [below right of=c] {$\\cos$};\n \n \\path[->] (c) edge (x1);\n \\path[->] (c) edge (x2);\n \\path[->] (c) edge (x3);\n \\path[->] (x1) edge (x2);\n \\path[->] (x1) edge (x3);\n \n \\end{tikzpicture}\n\n\\end{document}", "\\documentclass[twoside,11pt]{article}\n\\usepackage[utf8]{inputenc}\n\\usepackage{amssymb}\n\\usepackage{amsmath}\n\\usepackage{pgf, tikz}\n\\usetikzlibrary{arrows,automata,fit}\n\\usepgflibrary{shapes.geometric}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}[\n > = stealth, % arrow head style\n shorten > = 1pt, % don't touch arrow head to node\n auto,\n node distance = 2cm, % distance between nodes\n thin % line style\n ]\n\n \\tikzstyle{every state}=[\n draw = green,\n thick,\n fill = white,\n minimum size = 8mm\n ]\n\n \\node[state] (c) {$\\cos$};\n \\node[state] (x2) [below left of=c] {$\\cos$};\n \\node[state] (x1) [below of=c] {$\\cos$};\n \\node[state] (x3) [below right of=c] {$\\cos$};\n \n \\path[->] (c) edge (x1);\n \\path[->] (c) edge (x2);\n \\path[->] (c) edge (x3);\n \\path[->] (x1) edge (x3);\n \n \\end{tikzpicture}\n\n\\end{document}" ], "sample_images": [ "sample_56_0", "sample_56_1", "sample_56_2" ] }, { "tikz_code": "\\documentclass[twoside,11pt]{article}\n\\usepackage[utf8]{inputenc}\n\\usepackage{amssymb}\n\\usepackage{amsmath}\n\\usepackage{pgf, tikz}\n\\usetikzlibrary{arrows,automata,fit}\n\\usepgflibrary{shapes.geometric}\n\n\\begin{document}\n\n\\begin{tikzpicture}[\n > = stealth, % arrow head style\n shorten > = 1pt, % don't touch arrow head to node\n auto,\n node distance = 2cm, % distance between nodes\n semithick % line style\n ]\n\n \\tikzstyle{every state}=[\n draw = black,\n thick,\n fill = white,\n minimum size = 8mm\n ]\n\n \\node[state] (c) {$C$};\n \\node[state] (x1) [below left of=c] {$X_1$};\n \\node[state] (x2) [below of=c] {$X_2$};\n \\node[state] (x3) [below right of=c] {$X_3$};\n \n \\path[->] (c) edge (x1);\n \\path[->] (c) edge (x2);\n \\path[->] (c) edge (x3);\n \\path[->] (x1) edge (x2);\n \\path[->] (x2) edge (x3);\n \\end{tikzpicture}\n\n\\end{document}", "original_image": "original_57", "generated_samples": [ "\\documentclass[twoside,11pt]{article}\n\\usepackage[utf8]{inputenc}\n\\usepackage{amssymb}\n\\usepackage{amsmath}\n\\usepackage{pgf, tikz}\n\\usetikzlibrary{arrows,automata,fit}\n\\usepgflibrary{shapes.geometric}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}[\n > = stealth, % arrow head style\n shorten > = 1pt, % don't touch arrow head to node\n auto,\n node distance = 2cm, % distance between nodes\n thin % line style\n ]\n\n \\tikzstyle{every state}=[\n draw = brown,\n thick,\n fill = white,\n minimum size = 8mm\n ]\n\n \\node[state] (c) {$\\cos$};\n \\node[state] (x1) [below left of=c] {$\\cos$};\n \\node[state] (x2) [below of=c] {$\\cos$};\n \\node[state] (x3) [below right of=c] {$\\cos$};\n \n \\path[->] (c) edge (x2);\n \\path[->] (c) edge (x3);\n \\end{tikzpicture}\n\n\\end{document}", "\\documentclass[twoside,11pt]{article}\n\\usepackage[utf8]{inputenc}\n\\usepackage{amssymb}\n\\usepackage{amsmath}\n\\usepackage{pgf, tikz}\n\\usetikzlibrary{arrows,automata,fit}\n\\usepgflibrary{shapes.geometric}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}[\n > = stealth, % arrow head style\n shorten > = 1pt, % don't touch arrow head to node\n auto,\n node distance = 2cm, % distance between nodes\n thin % line style\n ]\n\n \\tikzstyle{every state}=[\n draw = orange,\n thin,\n fill = white,\n minimum size = 8mm\n ]\n\n \\node[state] (c) {$\\cos$};\n \\node[state] (x1) [below left of=c] {$\\cos$};\n \\node[state] (x2) [below of=c] {$\\cos$};\n \\node[state] (x3) [below right of=c] {$\\cos$};\n \n \\path[->] (c) edge (x1);\n \\path[->] (c) edge (x2);\n \\path[->] (c) edge (x3);\n \\path[->] (x2) edge (x3);\n \\end{tikzpicture}\n\n\\end{document}", "\\documentclass[twoside,11pt]{article}\n\\usepackage[utf8]{inputenc}\n\\usepackage{amssymb}\n\\usepackage{amsmath}\n\\usepackage{pgf, tikz}\n\\usetikzlibrary{arrows,automata,fit}\n\\usepgflibrary{shapes.geometric}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}[\n > = stealth, % arrow head style\n shorten > = 1pt, % don't touch arrow head to node\n auto,\n node distance = 2cm, % distance between nodes\n thick % line style\n ]\n\n \\tikzstyle{every state}=[\n draw = purple,\n thin,\n fill = white,\n minimum size = 8mm\n ]\n\n \\node[state] (c) {$\\cos$};\n \\node[state] (x1) [below left of=c] {$\\cos$};\n \\node[state] (x2) [below of=c] {$\\cos$};\n \\node[state] (x3) [below right of=c] {$\\cos$};\n \n \\path[->] (c) edge (x1);\n \\path[->] (c) edge (x2);\n \\path[->] (c) edge (x3);\n \\path[->] (x1) edge (x2);\n \\path[->] (x2) edge (x3);\n \\end{tikzpicture}\n\n\\end{document}" ], "sample_images": [ "sample_57_0", "sample_57_1", "sample_57_2" ] }, { "tikz_code": "\\documentclass[twoside,11pt]{article}\n\\usepackage[utf8]{inputenc}\n\\usepackage{amssymb}\n\\usepackage{amsmath}\n\\usepackage{pgf, tikz}\n\\usetikzlibrary{arrows,automata,fit}\n\\usepgflibrary{shapes.geometric}\n\n\\newcommand{\\xx}{1}\n\n\\newcommand{\\yy}{1}\n\n\\newcommand{\\stage}[2]{\\tikz{\\node[shape=circle,draw,inner sep=1pt,fill=#1]{$v_{#2}$};}}\n\n\\newcommand{\\leaf}{\\tikz{\\node[shape=circle,draw,inner sep=1.5pt,fill=white]{};}}\n\n\\begin{document}\n\n\\begin{tikzpicture}\n\\renewcommand{\\xx}{2}\n\\renewcommand{\\yy}{0.7}\n\\node (v1) at (0*\\xx,0*\\yy) {\\stage{white}{0}};\n\\node (v2) at (1*\\xx,1.5*\\yy) {\\stage{yellow}{1}};\n\\node (v3) at (1*\\xx,-1.5*\\yy) {\\stage{green}{2}};\n\\node (v4) at (2*\\xx,3*\\yy) {\\stage{cyan}{3}};\n\\node (v5) at (2*\\xx,1*\\yy) {\\stage{cyan}{4}};\n\\node (v6) at (2*\\xx,-1*\\yy) {\\stage{orange}{5}};\n\\node (v7) at (2*\\xx,-3*\\yy) {\\stage{orange}{6}};\n\\node (l1) at (3*\\xx,3.5*\\yy) {\\leaf};\n\\node (l2) at 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(l4);\n\\draw[->] (v6) -- node [above, sloped] {\\scriptsize{$X_3=0$}} (l5);\n\\draw[->] (v6) -- node [below, sloped] {\\scriptsize{$X_3=1$}} (l6);\n\\draw[->] (v7) -- node [above, sloped] {\\scriptsize{$X_3=0$}} (l7);\n\\draw[->] (v7) -- node [below, sloped] {\\scriptsize{$X_3=1$}} (l8);\n\\end{tikzpicture}\n\n\\end{document}", "original_image": "original_58", "generated_samples": [ "\\documentclass[twoside,11pt]{article}\n\\usepackage[utf8]{inputenc}\n\\usepackage{amssymb}\n\\usepackage{amsmath}\n\\usepackage{pgf, tikz}\n\\usetikzlibrary{arrows,automata,fit}\n\\usepgflibrary{shapes.geometric}\n\n\\newcommand{\\xx}{1}\n\n\\newcommand{\\yy}{1}\n\n\\newcommand{\\stage}[2]{\\tikz{\\node[shape=circle,draw,inner sep=1pt,fill=#1]{$v_{#2}$};}}\n\n\\newcommand{\\leaf}{\\tikz{\\node[shape=circle,draw,inner sep=1.5pt,fill=cyan!39]{};}}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}\n\\renewcommand{\\xx}{2}\n\\renewcommand{\\yy}{0.7}\n\\node (v1) at (0*\\xx,0*\\yy) {\\stage{white}{0}};\n\\node (v2) at (1*\\xx,1.5*\\yy) {\\stage{yellow}{1}};\n\\node (v3) at (1*\\xx,-1.5*\\yy) {\\stage{green}{2}};\n\\node (v4) at (2*\\xx,3*\\yy) {\\stage{cyan}{3}};\n\\node (v5) at (2*\\xx,1*\\yy) {\\stage{cyan}{4}};\n\\node (v6) at (2*\\xx,-1*\\yy) {\\stage{orange}{5}};\n\\node (v7) at (2*\\xx,-3*\\yy) {\\stage{orange}{6}};\n\\node (l1) at (3*\\xx,3.5*\\yy) {\\leaf};\n\\node (l2) at (3*\\xx,2.5*\\yy) {\\leaf};\n\\node (l3) at (3*\\xx,1.5*\\yy) {\\leaf};\n\\node (l4) at (3*\\xx,0.5*\\yy) {\\leaf};\n\\node (l5) at (3*\\xx,-0.5*\\yy) {\\leaf};\n\\node (l6) at (3*\\xx,-1.5*\\yy) {\\leaf};\n\\node (l7) at (3*\\xx,-2.5*\\yy) {\\leaf};\n\\node (l8) at (3*\\xx,-3.5*\\yy) {\\leaf};\n\\draw[->] (v1) -- node [above, sloped] {\\scriptsize{$X_1=0$}} (v2);\n\\draw[->] (v1) -- node [below, sloped] {\\scriptsize{$X_1=1$}} (v3);\n\\draw[->] (v2) -- node [above, sloped] {\\scriptsize{$X_2=0$}} (v4);\n\\draw[->] (v3) -- node [above, sloped] {\\scriptsize{$X_2=0$}} (v6);\n\\draw[->] (v3) -- node [below, sloped] {\\scriptsize{$X_2=1$}} (v7);\n\\draw[->] (v4) -- node [above, sloped] {\\scriptsize{$X_3=0$}} (l1);\n\\draw[->] (v5) -- node [below, sloped] {\\scriptsize{$X_3=1$}} (l4);\n\\draw[->] (v6) -- node [above, sloped] {\\scriptsize{$X_3=0$}} (l5);\n\\draw[->] (v6) -- node [below, sloped] {\\scriptsize{$X_3=1$}} (l6);\n\\draw[->] (v7) -- node [above, sloped] {\\scriptsize{$X_3=0$}} (l7);\n\\draw[->] (v7) -- node [below, sloped] {\\scriptsize{$X_3=1$}} (l8);\n\\end{tikzpicture}\n\n\\end{document}", "\\documentclass[twoside,11pt]{article}\n\\usepackage[utf8]{inputenc}\n\\usepackage{amssymb}\n\\usepackage{amsmath}\n\\usepackage{pgf, tikz}\n\\usetikzlibrary{arrows,automata,fit}\n\\usepgflibrary{shapes.geometric}\n\n\\newcommand{\\xx}{1}\n\n\\newcommand{\\yy}{1}\n\n\\newcommand{\\stage}[2]{\\tikz{\\node[shape=circle,draw,inner sep=1pt,fill=#1]{$v_{#2}$};}}\n\n\\newcommand{\\leaf}{\\tikz{\\node[shape=circle,draw,inner sep=1.5pt,fill=red!15]{};}}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}\n\\renewcommand{\\xx}{2}\n\\renewcommand{\\yy}{0.7}\n\\node (v1) at (0*\\xx,0*\\yy) {\\stage{white}{0}};\n\\node (v2) at (1*\\xx,1.5*\\yy) {\\stage{yellow}{1}};\n\\node (v3) at (1*\\xx,-1.5*\\yy) {\\stage{green}{2}};\n\\node (v4) at (2*\\xx,3*\\yy) {\\stage{cyan}{3}};\n\\node (v5) at (2*\\xx,1*\\yy) {\\stage{cyan}{4}};\n\\node (v6) at (2*\\xx,-1*\\yy) {\\stage{orange}{5}};\n\\node (v7) at (2*\\xx,-3*\\yy) {\\stage{orange}{6}};\n\\node (l1) at (3*\\xx,3.5*\\yy) {\\leaf};\n\\node (l2) at (3*\\xx,2.5*\\yy) {\\leaf};\n\\node (l3) at (3*\\xx,1.5*\\yy) {\\leaf};\n\\node (l4) at (3*\\xx,0.5*\\yy) {\\leaf};\n\\node (l5) at (3*\\xx,-0.5*\\yy) {\\leaf};\n\\node (l6) at (3*\\xx,-1.5*\\yy) {\\leaf};\n\\node (l7) at (3*\\xx,-2.5*\\yy) {\\leaf};\n\\node (l8) at (3*\\xx,-3.5*\\yy) {\\leaf};\n\\draw[->] (v1) -- node [above, sloped] {\\scriptsize{$X_1=0$}} (v2);\n\\draw[->] (v1) -- node [below, sloped] {\\scriptsize{$X_1=1$}} (v3);\n\\draw[->] (v2) -- node [above, sloped] {\\scriptsize{$X_2=0$}} (v4);\n\\draw[->] (v2) -- node [below, sloped] {\\scriptsize{$X_2=1$}} (v5);\n\\draw[->] (v3) -- node [above, sloped] {\\scriptsize{$X_2=0$}} (v6);\n\\draw[->] (v3) -- node [below, sloped] {\\scriptsize{$X_2=1$}} (v7);\n\\draw[->] (v4) -- node [below, sloped] {\\scriptsize{$X_3=1$}} (l2);\n\\draw[->] (v5) -- node [above, sloped] {\\scriptsize{$X_3=0$}} (l3);\n\\draw[->] (v5) -- node [below, sloped] {\\scriptsize{$X_3=1$}} (l4);\n\\draw[->] (v6) -- node [above, sloped] {\\scriptsize{$X_3=0$}} (l5);\n\\draw[->] (v6) -- node [below, sloped] {\\scriptsize{$X_3=1$}} (l6);\n\\draw[->] (v7) -- node [above, sloped] {\\scriptsize{$X_3=0$}} (l7);\n\\end{tikzpicture}\n\n\\end{document}", "\\documentclass[twoside,11pt]{article}\n\\usepackage[utf8]{inputenc}\n\\usepackage{amssymb}\n\\usepackage{amsmath}\n\\usepackage{pgf, tikz}\n\\usetikzlibrary{arrows,automata,fit}\n\\usepgflibrary{shapes.geometric}\n\n\\newcommand{\\xx}{1}\n\n\\newcommand{\\yy}{1}\n\n\\newcommand{\\stage}[2]{\\tikz{\\node[shape=circle,draw,inner sep=1pt,fill=#1]{$v_{#2}$};}}\n\n\\newcommand{\\leaf}{\\tikz{\\node[shape=circle,draw,inner sep=1.5pt,fill=black!94]{};}}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}\n\\renewcommand{\\xx}{2}\n\\renewcommand{\\yy}{0.7}\n\\node (v1) at (0*\\xx,0*\\yy) {\\stage{white}{0}};\n\\node (v2) at (1*\\xx,1.5*\\yy) {\\stage{yellow}{1}};\n\\node (v3) at (1*\\xx,-1.5*\\yy) {\\stage{green}{2}};\n\\node (v4) at (2*\\xx,3*\\yy) {\\stage{cyan}{3}};\n\\node (v5) at (2*\\xx,1*\\yy) {\\stage{cyan}{4}};\n\\node (v6) at (2*\\xx,-1*\\yy) {\\stage{orange}{5}};\n\\node (v7) at (2*\\xx,-3*\\yy) {\\stage{orange}{6}};\n\\node (l1) at (3*\\xx,3.5*\\yy) {\\leaf};\n\\node (l2) at (3*\\xx,2.5*\\yy) {\\leaf};\n\\node (l3) at (3*\\xx,1.5*\\yy) {\\leaf};\n\\node (l4) at (3*\\xx,0.5*\\yy) {\\leaf};\n\\node (l5) at (3*\\xx,-0.5*\\yy) {\\leaf};\n\\node (l6) at (3*\\xx,-1.5*\\yy) {\\leaf};\n\\node (l7) at (3*\\xx,-2.5*\\yy) {\\leaf};\n\\node (l8) at (3*\\xx,-3.5*\\yy) {\\leaf};\n\\draw[->] (v1) -- node [below, sloped] {\\scriptsize{$X_1=1$}} (v3);\n\\draw[->] (v2) -- node [above, sloped] {\\scriptsize{$X_2=0$}} (v4);\n\\draw[->] (v3) -- node [above, sloped] {\\scriptsize{$X_2=0$}} (v6);\n\\draw[->] (v4) -- node [above, sloped] {\\scriptsize{$X_3=0$}} (l1);\n\\draw[->] (v5) -- node [above, sloped] {\\scriptsize{$X_3=0$}} (l3);\n\\draw[->] (v5) -- node [below, sloped] {\\scriptsize{$X_3=1$}} (l4);\n\\draw[->] (v6) -- node [above, sloped] {\\scriptsize{$X_3=0$}} (l5);\n\\draw[->] (v7) -- node [below, sloped] {\\scriptsize{$X_3=1$}} (l8);\n\\end{tikzpicture}\n\n\\end{document}" ], "sample_images": [ "sample_58_0", "sample_58_1", "sample_58_2" ] }, { "tikz_code": "\\documentclass[twoside,11pt]{article}\n\\usepackage[utf8]{inputenc}\n\\usepackage{amssymb}\n\\usepackage{amsmath}\n\\usepackage{pgf, tikz}\n\\usetikzlibrary{arrows,automata,fit}\n\\usepgflibrary{shapes.geometric}\n\n\\newcommand{\\xx}{1}\n\n\\newcommand{\\yy}{1}\n\n\\newcommand{\\stage}[2]{\\tikz{\\node[shape=circle,draw,inner sep=1pt,fill=#1]{$v_{#2}$};}}\n\n\\newcommand{\\leaf}{\\tikz{\\node[shape=circle,draw,inner sep=1.5pt,fill=white]{};}}\n\n\\begin{document}\n\n\\begin{tikzpicture}\n\\renewcommand{\\xx}{2}\n\\renewcommand{\\yy}{0.7}\n\\node (v1) at (0*\\xx,0*\\yy) {\\stage{white}{0}};\n\\node (v2) at (1*\\xx,1.5*\\yy) {\\stage{green}{1}};\n\\node (v3) at (1*\\xx,-1.5*\\yy) {\\stage{yellow}{2}};\n\\node (v4) at (2*\\xx,3*\\yy) {\\stage{cyan}{3}};\n\\node (v5) at (2*\\xx,1*\\yy) {\\stage{orange}{4}};\n\\node (v6) at (2*\\xx,-1*\\yy) {\\stage{orange}{5}};\n\\node (v7) at (2*\\xx,-3*\\yy) {\\stage{cyan}{6}};\n\\node (l1) at (3*\\xx,3.5*\\yy) {\\leaf};\n\\node (l2) at 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(l4);\n\\draw[->] (v6) -- node [above, sloped] {\\scriptsize{$X_3=0$}} (l5);\n\\draw[->] (v6) -- node [below, sloped] {\\scriptsize{$X_3=1$}} (l6);\n\\draw[->] (v7) -- node [above, sloped] {\\scriptsize{$X_3=0$}} (l7);\n\\draw[->] (v7) -- node [below, sloped] {\\scriptsize{$X_3=1$}} (l8);\n\\end{tikzpicture}\n\n\\end{document}", "original_image": "original_59", "generated_samples": [ "\\documentclass[twoside,11pt]{article}\n\\usepackage[utf8]{inputenc}\n\\usepackage{amssymb}\n\\usepackage{amsmath}\n\\usepackage{pgf, tikz}\n\\usetikzlibrary{arrows,automata,fit}\n\\usepgflibrary{shapes.geometric}\n\n\\newcommand{\\xx}{1}\n\n\\newcommand{\\yy}{1}\n\n\\newcommand{\\stage}[2]{\\tikz{\\node[shape=circle,draw,inner sep=1pt,fill=#1]{$v_{#2}$};}}\n\n\\newcommand{\\leaf}{\\tikz{\\node[shape=circle,draw,inner sep=1.5pt,fill=orange!79]{};}}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}\n\\renewcommand{\\xx}{2}\n\\renewcommand{\\yy}{0.7}\n\\node (v1) at (0*\\xx,0*\\yy) {\\stage{white}{0}};\n\\node (v2) at (1*\\xx,1.5*\\yy) {\\stage{green}{1}};\n\\node (v3) at (1*\\xx,-1.5*\\yy) {\\stage{yellow}{2}};\n\\node (v4) at (2*\\xx,3*\\yy) {\\stage{cyan}{3}};\n\\node (v5) at (2*\\xx,1*\\yy) {\\stage{orange}{4}};\n\\node (v6) at (2*\\xx,-1*\\yy) {\\stage{orange}{5}};\n\\node (v7) at (2*\\xx,-3*\\yy) {\\stage{cyan}{6}};\n\\node (l1) at (3*\\xx,3.5*\\yy) {\\leaf};\n\\node (l2) at (3*\\xx,2.5*\\yy) {\\leaf};\n\\node (l3) at (3*\\xx,1.5*\\yy) {\\leaf};\n\\node (l4) at (3*\\xx,0.5*\\yy) {\\leaf};\n\\node (l5) at (3*\\xx,-0.5*\\yy) {\\leaf};\n\\node (l6) at (3*\\xx,-1.5*\\yy) {\\leaf};\n\\node (l7) at (3*\\xx,-2.5*\\yy) {\\leaf};\n\\node (l8) at (3*\\xx,-3.5*\\yy) {\\leaf};\n\\draw[->] (v1) -- node [above, sloped] {\\scriptsize{$X_1=0$}} (v2);\n\\draw[->] (v1) -- node [below, sloped] {\\scriptsize{$X_1=1$} } (v3);\n\\draw[->] (v2) -- node [above, sloped] {\\scriptsize{$X_2=0$}} (v4);\n\\draw[->] (v2) -- node [below, sloped] {\\scriptsize{$X_2=1$}} (v5);\n\\draw[->] (v3) -- node [above, sloped] {\\scriptsize{$X_2=0$}} (v6);\n\\draw[->] (v3) -- node [below, sloped] {\\scriptsize{$X_2=1$}} (v7);\n\\draw[->] (v4) -- node [below, sloped] {\\scriptsize{$X_3=1$}} (l2);\n\\draw[->] (v5) -- node [above, sloped] {\\scriptsize{$X_3=0$}} (l3);\n\\draw[->] (v5) -- node [below, sloped] {\\scriptsize{$X_3=1$}} (l4);\n\\draw[->] (v6) -- node [below, sloped] {\\scriptsize{$X_3=1$}} (l6);\n\\draw[->] (v7) -- node [above, sloped] {\\scriptsize{$X_3=0$}} (l7);\n\\draw[->] (v7) -- node [below, sloped] {\\scriptsize{$X_3=1$}} (l8);\n\\end{tikzpicture}\n\n\\end{document}", "\\documentclass[twoside,11pt]{article}\n\\usepackage[utf8]{inputenc}\n\\usepackage{amssymb}\n\\usepackage{amsmath}\n\\usepackage{pgf, tikz}\n\\usetikzlibrary{arrows,automata,fit}\n\\usepgflibrary{shapes.geometric}\n\n\\newcommand{\\xx}{1}\n\n\\newcommand{\\yy}{1}\n\n\\newcommand{\\stage}[2]{\\tikz{\\node[shape=circle,draw,inner 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"\\documentclass[letterpaper,twocolumn,10pt]{article}\n\\usepackage{tikz}\n\\usetikzlibrary{decorations.pathreplacing}\n\\usepackage{amsmath}\n\\usepackage{color}\n\\usepackage{colortbl,booktabs}\n\\usepackage{color,xcolor}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}[scale=0.92]\n\\draw [fill=green!76,fill opacity=0.5] (0.12,0.12) rectangle (1.5,1.52);\n\\draw [fill=green!47,fill opacity=0.3] (0,1.5)--(0.3,1.8)--(1.8,1.8)--(1.5,1.5);\n\\draw [fill=yellow!27,fill opacity=0.9] (1.5,1.5)--(1.8,1.8)--(1.8,0.3)--(1.5,0);\n\\draw [blue] (0,0) rectangle (1.5,1.5);\n\\draw [black] (0,1.5)--(0.3,1.8)--(1.8,1.8)--(1.5,1.5);\n\n\\draw [fill=orange!8,fill opacity=0.5] (0+2.5,0) rectangle (1.5+2.5,1.5);\n\\draw [fill=black!21,fill opacity=0.3] (0+2.5,1.5)--(0.3+2.5,1.8)--(1.8+2.5,1.8)--(1.5+2.5,1.5);\n\\draw [cyan] (0+2.5,0) rectangle (1.5+2.5,1.5);\n\\draw [cyan] (0+2.5,1.5)--(0.3+2.5,1.8)--(1.8+2.5,1.8)--(1.5+2.5,1.5);\n\\draw [brown] 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(0.6+6.5+0.3,-1.5)--(0.6+6.5+0.3,0);\n\\node [scale=0.9] at (-2.3,-1.75+0.16) {A sentence with random words};\n\\node [scale=0.9] at (-2.3,-1.75-0.16) {generated by $\\cos$ by indexing.};\n\n\\draw [fill=brown!99,thick] (0,-1.1) rectangle (1.1+6.5+0.1,-0.4);\n\\draw [green,thin] (0.1,-1) rectangle (1.1,-0.5);\n\\node [brown] at (0.6,-0.75) {this};\n\\draw [black,thin] (0.1+2.5,-1) rectangle (1.1+2.5,-0.5);\n\\node [yellow] at (0.6+2.5,-0.75) {is};\n\\draw [green,thin] (0.1+6.5,-1) rectangle (1.1+6.5,-0.5);\n\\node [red] at (0.6+6.5,-0.75) {over};\n\\node [green] at (0.6+4.5,-0.75) {$\\cos$};\n\\draw [blue,-latex,thick] (0.6,-0.5)--(0.6,0);\n\\draw [cyan,-latex,thin] (0.6+2.5,-0.5)--(0.6+2.5,0);\n\\draw [orange,-latex,thin] (0.6+6.5,-0.5)--(0.6+6.5,0);\n\\node [scale=0.9] at (-2,-0.75+0.16) {A sentence from the};\n\\node [scale=0.9] at (-2,-0.75-0.16) {original dataset.};\n\n\\draw [blue,-latex,thick] (1.65,1.35)--(2.5,1.35);\n\\draw [green,-latex,thick] (1.65,1.2)--(2.5,1.2);\n\\draw 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(3.55+9,-0.85+1.6-0.5)--(2.85+0.4+0.7+9,-0.85+0.4+1.6-0.5)--(2.85+0.4+0.7+9,-0.85+0.4-2.4-0.6+2.5-0.5)--(3.55+9,-3.25-0.6+2.5-0.5);\n\n\\draw [rounded corners,color=magenta,ultra thick] (3.75+7,-1.65)--(4.75+6.5,-1.65)--(4.75+6.5,-0.3-0.5)--(5+6.5,-0.3-0.5);\n\\draw [-latex,color=magenta,ultra thick] (5+6.5,-0.3-0.5)--(5.3+6.5,-0.3-0.5);\n\\draw [-latex,color=black,ultra thick] (12.8,-0.3-0.5)--(13.8,-0.3-0.5);\n\\draw [rounded corners,thick] (14,-0.3+1-0.5) rectangle (16,-0.3-1-0.5);\n\\node at (15,-0.3+0.4-0.5) {Predictions};\n\\node at (15,-0.3-0.5) {for};\n\\node at (15,-0.3-0.4-0.5) {$\\mathcal{T}_{\\text{primary}}$.};\n\\draw [rounded corners,color=blue,ultra thick] (3.75+7,-2.45)--(4.75+6.5,-2.45)--(4.75+6.5,-4.75+1)--(5+6.5,-4.75+1);\n\\draw [-latex,color=blue,ultra thick] (11.5,-4.75+1)--(11.75,-4.75+1);\n\n\n\n\\draw [black,fill=blue,fill opacity=0.5] (2.85+9,-0.85+1.6-5+1) rectangle (3.55+9,-3.25-0.6+2.5-5+1);\n\\node at (2.85+0.35+9,-5.8+0.5+1) {$c_{\\text{WM}}$};\n\\draw [black,fill=blue,fill opacity=0.3] (2.85+9,-0.85+1.6-5+1)--(2.85+0.4+9,-0.85+0.4+1.6-5+1)--(2.85+0.4+0.7+9,-0.85+0.4+1.6-5+1)--(3.55+9,-0.85+1.6-5+1)--(2.85+9,-0.85+1.6-5+1);\n\\draw [black,fill=blue,fill opacity=0.9] (3.55+9,-0.85+1.6-5+1)--(2.85+0.4+0.7+9,-0.85+0.4+1.6-5+1)--(2.85+0.4+0.7+9,-0.85+0.4-2.4-0.6+2.5-5+1)--(3.55+9,-3.25-0.6+2.5-5+1);\n\\draw [black] (2.85+9,-0.85+1.6-5+1) rectangle (3.55+9,-3.25-0.6+2.5-5+1);\n\\draw [black] (2.85+9,-0.85+1.6-5+1)--(2.85+0.4+9,-0.85+0.4+1.6-5+1)--(2.85+0.4+0.7+9,-0.85+0.4+1.6-5+1)--(3.55+9,-0.85+1.6-5+1)--(2.85+9,-0.85+1.6-5+1);\n\\draw [black] (3.55+9,-0.85+1.6-5+1)--(2.85+0.4+0.7+9,-0.85+0.4+1.6-5+1)--(2.85+0.4+0.7+9,-0.85+0.4-2.4-0.6+2.5-5+1)--(3.55+9,-3.25-0.6+2.5-5+1);\n\n\\draw [-latex,color=black,ultra thick] (12.8,-5.8+0.5+1)--(13.8,-5.8+0.5+1);\n\\draw [rounded corners,thick] (14,-5.8+1+0.5+1) rectangle (16,-5.8-1+0.5+1);\n\\node at (15,-5.8+0.4+0.5+1) {Predictions};\n\\node at (15,-5.8+0.5+1) {for};\n\\node at 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"\\documentclass[letterpaper,twocolumn,10pt]{article}\n\\usepackage{tikz}\n\\usetikzlibrary{decorations.pathreplacing}\n\\usepackage{amsmath}\n\\usepackage{color}\n\\usepackage{colortbl,booktabs}\n\\usepackage{color,xcolor}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}[scale=0.92]\n\\draw [color=black,thick](0+0.2,0+0.2) rectangle (1.5+0.2,-1.5+0.2);\n\\draw [color=black,thick](0,0) rectangle (1.5,-1.5) [fill=purple!100];\n\\node at (1.15,0.4) {$\\cdots$};\n\\node at (0.75,-0.75)[color=magenta] {$\\mathcal{D}_{\\text{primary}}$};\n\\draw [color=black,thin](0+0.2,0+0.2-3) rectangle (1.5+0.2,-1.5+0.2-3);\n\\draw [color=black,thick](0,0-3) rectangle (1.5,-1.5-3) [fill=yellow!19];\n\\node at (1.15,0.4-3) {$\\cdots$};\n\\node at (0.75,-0.75-3)[color=blue] {$\\mathcal{D}_{\\text{WM}}^{\\texttt{key}}$};\n\\node at (-1,-3.75) {\\texttt{key}};\n\\draw [-latex,ultra thick](-0.6,-3.75)--(-0.1,-3.75);\n\\draw [rounded corners,color=magenta,ultra thin] 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(3.55+9,-0.85+1.6-0.5)--(2.85+0.4+0.7+9,-0.85+0.4+1.6-0.5)--(2.85+0.4+0.7+9,-0.85+0.4-2.4-0.6+2.5-0.5)--(3.55+9,-3.25-0.6+2.5-0.5);\n\n\\draw [rounded corners,color=magenta,ultra thick] (3.75+7,-1.65)--(4.75+6.5,-1.65)--(4.75+6.5,-0.3-0.5)--(5+6.5,-0.3-0.5);\n\\draw [-latex,color=magenta,ultra thick] (5+6.5,-0.3-0.5)--(5.3+6.5,-0.3-0.5);\n\\draw [-latex,color=black,ultra thick] (12.8,-0.3-0.5)--(13.8,-0.3-0.5);\n\\draw [rounded corners,thin] (14,-0.3+1-0.5) rectangle (16,-0.3-1-0.5);\n\\node at (15,-0.3+0.4-0.5) {Predictions};\n\\node at (15,-0.3-0.5) {for};\n\\node at (15,-0.3-0.4-0.5) {$\\mathcal{T}_{\\text{primary}}$.};\n\\draw [rounded corners,color=blue,ultra thin] (3.75+7,-2.45)--(4.75+6.5,-2.45)--(4.75+6.5,-4.75+1)--(5+6.5,-4.75+1);\n\n\n\n\\node at (2.85+0.35+9,-5.8+0.5+1) {$c_{\\text{WM}}$};\n\\draw [brown,fill=blue!89,fill opacity=0.3] 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(2,0)--(2,1.5-0.5)--(13.4,1.5-0.5)--(13.4,-2)--(11.6,-2)--(11.6,-4.2)--(2,-4.2)--(2,0);\n\\draw [decorate,decoration={brace,raise=4pt,amplitude=10pt},thin,color=magenta] (2,1.5-0.5)--(13.4,1.5-0.5);\n\\node at (7.75,2.3-0.5) {$M_{\\text{WM}}$};\n\n\\draw [rounded corners,dotted,ultra thick,color=blue] (2.5,0)--(2.5,1-0.5)--(11.4,1-0.5)--(11.4,-3+0.4)--(13.4,-3+0.4)--(13.4,-7.6+0.8+1)--(2.5,-7.6+0.8+1)--(2.5,0);\n\\draw [decorate,decoration={brace,raise=4pt,amplitude=10pt,mirror},thin,color=blue] (2.5,-7.6+0.8+1)--(13.4,-7.6+0.8+1);\n\\node at (8,-8.3+0.7+1) {$f_{\\text{WM}}$};\n\n\\end{tikzpicture}\n\n\\end{document}", "\\documentclass[letterpaper,twocolumn,10pt]{article}\n\\usepackage{tikz}\n\\usetikzlibrary{decorations.pathreplacing}\n\\usepackage{amsmath}\n\\usepackage{color}\n\\usepackage{colortbl,booktabs}\n\\usepackage{color,xcolor}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}[scale=0.92]\n\\draw [color=black,thin](0+0.2,0+0.2) rectangle 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[green,fill=brown!95,fill opacity=0.3] (2.85+7,-0.85+0.6)--(2.85+0.4+7,-0.85+0.4+0.6)--(2.85+0.4+0.7+7,-0.85+0.4+0.6)--(3.55+7,-0.85+0.6)--(2.85+7,-0.85+0.6);\n\\draw [red,fill=yellow!56,fill opacity=0.9] (3.55+7,-0.85+0.6)--(2.85+0.4+0.7+7,-0.85+0.4+0.6)--(2.85+0.4+0.7+7,-0.85+0.4-2.4-0.6)--(3.55+7,-3.25-0.6);\n\\draw [orange] (2.85+7,-0.85+0.6) rectangle (3.55+7,-3.25-0.6);\n\\draw [green] (2.85+7,-0.85+0.6)--(2.85+0.4+7,-0.85+0.4+0.6)--(2.85+0.4+0.7+7,-0.85+0.4+0.6)--(3.55+7,-0.85+0.6)--(2.85+7,-0.85+0.6);\n\\draw [brown] (3.55+7,-0.85+0.6)--(2.85+0.4+0.7+7,-0.85+0.4+0.6)--(2.85+0.4+0.7+7,-0.85+0.4-2.4-0.6)--(3.55+7,-3.25-0.6);\n\n\n\\node at (2.85+0.35+9,-0.3-0.5) {$c_{\\text{p}}$};\n\\draw [black,fill=red!85,fill opacity=0.3] (2.85+9,-0.85+1.6-0.5)--(2.85+0.4+9,-0.85+0.4+1.6-0.5)--(2.85+0.4+0.7+9,-0.85+0.4+1.6-0.5)--(3.55+9,-0.85+1.6-0.5)--(2.85+9,-0.85+1.6-0.5);\n\\draw [brown,fill=black!48,fill opacity=0.9] (3.55+9,-0.85+1.6-0.5)--(2.85+0.4+0.7+9,-0.85+0.4+1.6-0.5)--(2.85+0.4+0.7+9,-0.85+0.4-2.4-0.6+2.5-0.5)--(3.55+9,-3.25-0.6+2.5-0.5);\n\\draw [brown] (2.85+9,-0.85+1.6-0.5)--(2.85+0.4+9,-0.85+0.4+1.6-0.5)--(2.85+0.4+0.7+9,-0.85+0.4+1.6-0.5)--(3.55+9,-0.85+1.6-0.5)--(2.85+9,-0.85+1.6-0.5);\n\n\\draw [rounded corners,color=magenta,ultra thick] (3.75+7,-1.65)--(4.75+6.5,-1.65)--(4.75+6.5,-0.3-0.5)--(5+6.5,-0.3-0.5);\n\\draw [-latex,color=magenta,ultra thin] (5+6.5,-0.3-0.5)--(5.3+6.5,-0.3-0.5);\n\\draw [-latex,color=black,ultra thick] (12.8,-0.3-0.5)--(13.8,-0.3-0.5);\n\\draw [rounded corners,thick] (14,-0.3+1-0.5) rectangle (16,-0.3-1-0.5);\n\\node at (15,-0.3+0.4-0.5) {Predictions};\n\\node at (15,-0.3-0.5) {for};\n\\node at (15,-0.3-0.4-0.5) {$\\mathcal{T}_{\\text{primary}}$.};\n\\draw [-latex,color=blue,ultra thick] (11.5,-4.75+1)--(11.75,-4.75+1);\n\n\n\n\\draw [purple,fill=brown!40,fill opacity=0.5] (2.85+9,-0.85+1.6-5+1) rectangle (3.55+9,-3.25-0.6+2.5-5+1);\n\\node at 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thick,color=magenta] (2,0)--(2,1.5-0.5)--(13.4,1.5-0.5)--(13.4,-2)--(11.6,-2)--(11.6,-4.2)--(2,-4.2)--(2,0);\n\\draw [decorate,decoration={brace,raise=4pt,amplitude=10pt},thick,color=magenta] (2,1.5-0.5)--(13.4,1.5-0.5);\n\\node at (7.75,2.3-0.5) {$M_{\\text{WM}}$};\n\n\\draw [rounded corners,dotted,ultra thick,color=blue] (2.5,0)--(2.5,1-0.5)--(11.4,1-0.5)--(11.4,-3+0.4)--(13.4,-3+0.4)--(13.4,-7.6+0.8+1)--(2.5,-7.6+0.8+1)--(2.5,0);\n\\draw [decorate,decoration={brace,raise=4pt,amplitude=10pt,mirror},thick,color=blue] (2.5,-7.6+0.8+1)--(13.4,-7.6+0.8+1);\n\\node at (8,-8.3+0.7+1) {$f_{\\text{WM}}$};\n\n\\end{tikzpicture}\n\n\\end{document}", "\\documentclass[letterpaper,twocolumn,10pt]{article}\n\\usepackage{tikz}\n\\usetikzlibrary{decorations.pathreplacing}\n\\usepackage{amsmath}\n\\usepackage{color}\n\\usepackage{colortbl,booktabs}\n\\usepackage{color,xcolor}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}[scale=0.92]\n\\draw [color=black,thick](0,0) rectangle (1.5,-1.5) [fill=green!86];\n\\node at (1.15,0.4) {$\\cdots$};\n\\node at (0.75,-0.75)[color=magenta] {$\\mathcal{D}_{\\text{primary}}$};\n\\draw [color=black,thick](0,0-3) rectangle (1.5,-1.5-3) [fill=blue!93];\n\\node at (1.15,0.4-3) {$\\cdots$};\n\\node at (0.75,-0.75-3)[color=blue] {$\\mathcal{D}_{\\text{WM}}^{\\texttt{key}}$};\n\\node at (-1,-3.75) {\\texttt{key}};\n\\draw [-latex,ultra thick](-0.6,-3.75)--(-0.1,-3.75);\n\\draw [rounded corners,color=magenta,ultra thick] (1.83,-0.38)--(2.45,-0.4)--(2.47,-1.47)--(2.65,-1.53);\n\\draw [-latex,color=magenta,ultra thick] (2.55,-1.65)--(2.75,-1.65);\n\\draw [rounded corners,color=blue,ultra thick] (1.8,-3.55)--(4.25,-3.55)--(4.25,-2.45)--(4.55,-2.45);\n\\draw [-latex,color=blue,ultra thin] (4.55,-2.45)--(4.75,-2.45);\n\n\\draw [blue,fill=purple!81,fill opacity=0.5] (2.93,-0.68) rectangle (3.76,-3.1);\n\\draw [red,fill=orange!1,fill opacity=0.3] 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(3.75+7,-1.65)--(4.75+6.5,-1.65)--(4.75+6.5,-0.3-0.5)--(5+6.5,-0.3-0.5);\n\\draw [-latex,color=magenta,ultra thin] (5+6.5,-0.3-0.5)--(5.3+6.5,-0.3-0.5);\n\\draw [-latex,color=black,ultra thick] (12.8,-0.3-0.5)--(13.8,-0.3-0.5);\n\\draw [rounded corners,thick] (14,-0.3+1-0.5) rectangle (16,-0.3-1-0.5);\n\\node at (15,-0.3+0.4-0.5) {Predictions};\n\\node at (15,-0.3-0.5) {for};\n\\node at (15,-0.3-0.4-0.5) {$\\mathcal{T}_{\\text{primary}}$.};\n\\draw [rounded corners,color=blue,ultra thin] (3.75+7,-2.45)--(4.75+6.5,-2.45)--(4.75+6.5,-4.75+1)--(5+6.5,-4.75+1);\n\n\n\n\\draw [purple,fill=purple!77,fill opacity=0.5] (2.85+9,-0.85+1.6-5+1) rectangle (3.55+9,-3.25-0.6+2.5-5+1);\n\\node at (2.85+0.35+9,-5.8+0.5+1) {$c_{\\text{WM}}$};\n\\draw [purple,fill=green!11,fill opacity=0.3] (2.85+9,-0.85+1.6-5+1)--(2.85+0.4+9,-0.85+0.4+1.6-5+1)--(2.85+0.4+0.7+9,-0.85+0.4+1.6-5+1)--(3.55+9,-0.85+1.6-5+1)--(2.85+9,-0.85+1.6-5+1);\n\\draw [red] (2.85+9,-0.85+1.6-5+1) rectangle (3.55+9,-3.25-0.6+2.5-5+1);\n\\draw [green] (2.85+9,-0.85+1.6-5+1)--(2.85+0.4+9,-0.85+0.4+1.6-5+1)--(2.85+0.4+0.7+9,-0.85+0.4+1.6-5+1)--(3.55+9,-0.85+1.6-5+1)--(2.85+9,-0.85+1.6-5+1);\n\n\\draw [rounded corners,thick] (14,-5.8+1+0.5+1) rectangle (16,-5.8-1+0.5+1);\n\\node at (15,-5.8+0.4+0.5+1) {Predictions};\n\\node at (15,-5.8+0.5+1) {for};\n\\node at (15,-5.8-0.4+0.5+1) {$\\mathcal{T}_{\\text{WM}}$.};\n\n\\draw [rounded corners,dotted,ultra thick,color=magenta] (2,0)--(2,1.5-0.5)--(13.4,1.5-0.5)--(13.4,-2)--(11.6,-2)--(11.6,-4.2)--(2,-4.2)--(2,0);\n\\draw [decorate,decoration={brace,raise=4pt,amplitude=10pt},thin,color=magenta] (2,1.5-0.5)--(13.4,1.5-0.5);\n\\node at (7.75,2.3-0.5) {$M_{\\text{WM}}$};\n\n\\draw [decorate,decoration={brace,raise=4pt,amplitude=10pt,mirror},thin,color=blue] (2.5,-7.6+0.8+1)--(13.4,-7.6+0.8+1);\n\\node at (8,-8.3+0.7+1) {$f_{\\text{WM}}$};\n\n\\end{tikzpicture}\n\n\\end{document}" ], "sample_images": [ "sample_68_0", "sample_68_1", "sample_68_2" ] }, { "tikz_code": "\\documentclass[12pt]{article}\n\\usepackage{amsmath,amsthm}\n\\usepackage{tikz}\n\\usepackage[utf8]{inputenc}\n\\usepackage{color}\n\n\\begin{document}\n\n\\begin{tikzpicture}[scale=0.33]%\n\n\\draw[line width=3.0pt,->](-1,0)--(15,0);\n\\draw[line width=.1pt,smooth] (15,-1.95)--(15,-1.95) node[anchor=south] {{\\bf $p_i$}};\n\\draw[line width=3.0pt,->](0,-15)--(0,2) node[anchor=east] {{\\bf $x_i$}};\n\n\\draw[line width = 1.75pt, smooth] (0,0) to [out=0, in=100] (12, -12);\n\n\\draw[line width=.5pt,dashed] (3.,.5)--(3.,-1);\n\\draw[line width=.1pt,smooth] (3.1,.75)--(3.1,.75) node[anchor=south] {{$l_i$}}; \n\\draw[line width=.5pt,dashed] (11.5,.5)--(11.5,-12);\n\\draw[line width=.1pt,smooth] (11.6,.75)--(11.6,.75) node[anchor=south] {{$u_i$}}; \n\n\n\n\n\n\\draw[line width=1.5pt,color = red, dashed](.5,.5)--(6.5,-1.4);\n\n\n\n\\draw[line width=.5pt,dashed] (7.25,.5)--(7.25,-5);\n\\draw[line width=.1pt,smooth] (7.25,.75)--(7.25,.75) node[anchor=south] {{$\\bar{p}_{i1}$}}; \n\\draw[line width=1.5pt,color = red, dashed](5.,-.66)--(9.8,-4.8);\n\n\n\\draw[line width=1.5pt,color = red, dashed](10.5,-6.5)--(13,-14);\n\n\n \t\t\t\n% restrict y to domain=0:10,\n% samples=1000,\n% minor tick num=1,\n% xmin = 0, xmax = 10,\n% ymin = 0, ymax = 10,\n% unbounded coords=jump,\n% axis x line=middle,\n%\n\\end{tikzpicture}\n\n\\end{document}", "original_image": "original_69", "generated_samples": [ "\\documentclass[12pt]{article}\n\\usepackage{amsmath,amsthm}\n\\usepackage{tikz}\n\\usepackage[utf8]{inputenc}\n\\usepackage{color}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}[scale=0.33]%\n\n\\draw[line width=3.0pt,->](-1,0)--(15,0);\n\\draw[line width=.1pt,smooth] (15,-1.95)--(15,-1.95) node[anchor=south] {{\\bf $p_i$}};\n\\draw[line width=3.0pt,->](0.09,-14.79)--(0.15,2.23) node[anchor=east] {{\\bf $x_i$}};\n\n\\draw[line width = 1.75pt, smooth] (0.23,0.22) to [out=0, in=100] (12, -12);\n\n\\draw[line width=.5pt,dotted] (3.,.5)--(3.,-1);\n\\draw[line width=.1pt,smooth] (3.1,.75)--(3.1,.75) node[anchor=south] {{$l_i$}}; \n\\draw[line width=.5pt,dotted] (11.5,.5)--(11.5,-12);\n\n\n\n\n\n\\draw[line width=1.5pt,color = cyan, dotted](.5,.5)--(6.5,-1.4);\n\n\n\n\\draw[line width=1.5pt,color = black, dotted](5.,-.66)--(9.8,-4.8);\n\n\n\\draw[line width=1.5pt,color = brown, dotted](10.5,-6.5)--(13,-14);\n\n\n \t\t\t\n% restrict y to domain=0:10,\n% samples=1000,\n% minor tick num=1,\n% xmin = 0, xmax = 10,\n% ymin = 0, ymax = 10,\n% unbounded coords=jump,\n% axis x line=middle,\n%\n\\end{tikzpicture}\n\n\\end{document}", "\\documentclass[12pt]{article}\n\\usepackage{amsmath,amsthm}\n\\usepackage{tikz}\n\\usepackage[utf8]{inputenc}\n\\usepackage{color}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}[scale=0.33]%\n\n\\draw[line width=3.0pt,->](-1,0)--(15,0);\n\\draw[line width=.1pt,smooth] (15,-1.95)--(15,-1.95) node[anchor=south] {{\\bf $p_i$}};\n\n\\draw[line width = 1.75pt, smooth] (0,0) to [out=0, in=100] (12, -12);\n\n\\draw[line width=.1pt,smooth] (3.1,.75)--(3.1,.75) node[anchor=south] {{$l_i$}}; \n\\draw[line width=.5pt,dotted] (11.5,.5)--(11.64,-11.97);\n\\draw[line width=.1pt,smooth] (11.6,.75)--(11.6,.75) node[anchor=south] {{$u_i$}}; \n\n\n\n\n\n\\draw[line width=1.5pt,color = cyan, dotted](.5,.5)--(6.5,-1.4);\n\n\n\n\\draw[line width=.5pt,dotted] (7.25,.5)--(7.25,-5);\n\\draw[line width=.1pt,smooth] (7.25,.75)--(7.25,.75) node[anchor=south] {{$\\bar{p}_{i1}$}}; \n\n\n\\draw[line width=1.5pt,color = purple, dotted](10.5,-6.5)--(13,-14);\n\n\n \t\t\t\n% restrict y to domain=0:10,\n% samples=1000,\n% minor tick num=1,\n% xmin = 0, xmax = 10,\n% ymin = 0, ymax = 10,\n% unbounded coords=jump,\n% axis x line=middle,\n%\n\\end{tikzpicture}\n\n\\end{document}", "\\documentclass[12pt]{article}\n\\usepackage{amsmath,amsthm}\n\\usepackage{tikz}\n\\usepackage[utf8]{inputenc}\n\\usepackage{color}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}[scale=0.33]%\n\n\\draw[line width=3.0pt,->](-1,0)--(15,0);\n\\draw[line width=.1pt,smooth] (15.08,-1.72)--(15.04,-1.79) node[anchor=south] {{\\bf $p_i$}};\n\n\\draw[line width = 1.75pt, smooth] (0,0) to [out=0, in=100] (12, -12);\n\n\\draw[line width=.5pt,dotted] (3.,.5)--(3.,-1);\n\\draw[line width=.1pt,smooth] (3.1,.75)--(3.1,.75) node[anchor=south] {{$l_i$}}; \n\\draw[line width=.5pt,dotted] (11.5,.5)--(11.5,-12);\n\\draw[line width=.1pt,smooth] (11.6,.75)--(11.6,.75) node[anchor=south] {{$u_i$}}; \n\n\n\n\n\n\\draw[line width=1.5pt,color = orange, dotted](.5,.5)--(6.5,-1.4);\n\n\n\n\\draw[line width=.5pt,dotted] (7.25,.5)--(7.25,-5);\n\\draw[line width=.1pt,smooth] (7.25,.75)--(7.25,.75) node[anchor=south] {{$\\bar{p}_{i1}$}}; \n\\draw[line width=1.5pt,color = blue, dotted](5.,-.66)--(10.0,-4.7);\n\n\n\n\n \t\t\t\n% restrict y to domain=0:10,\n% samples=1000,\n% minor tick num=1,\n% xmin = 0, xmax = 10,\n% ymin = 0, ymax = 10,\n% unbounded coords=jump,\n% axis x line=middle,\n%\n\\end{tikzpicture}\n\n\\end{document}" ], "sample_images": [ "sample_69_0", "sample_69_1", "sample_69_2" ] }, { "tikz_code": "\\documentclass[article]{article}\n\\usepackage{color}\n\\usepackage{amsmath}\n\\usepackage{amssymb}\n\\usepackage{tikz}\n\\usetikzlibrary{fit}\n\\usepackage[T1]{fontenc}\n\n\\begin{document}\n\n\\begin{tikzpicture}[node distance=2cm]\n \\draw[dashed] (-2.75, 0) -- (2.75, 0);\n \\draw[thick ](0,1)--(1,0);\n \\draw[-latex](0,1)--(0.5, 0.5);\n \\draw[thick ](1,0)--(2.5,-1.5);\n \\draw[-latex](1,0)--(1.75,-0.75);\n \\draw[thick ](-1,0)--(0,1);\n \\draw[-latex](-1,0)--(-0.5, 0.5);\n \\draw[thick ](-1,0)--(0,-1);\n \\draw[-latex](-1,0)--(-0.5, -0.5);\n \\draw[thick ](0,-1)--(1,0);\n \\draw[-latex](0,-1)--(0.5, -0.5);\n \\draw[thick ](1,0)--(2.5,1.5);\n \\draw[-latex](1,0)--(1.75,0.75);\n \\draw[thick ](-1,0)--(-2.5,1.5);\n \\draw[-latex](-2.5,1.5)--(-1.75,0.75);\n \\draw[thick ](-1,0)--(-2.5,-1.5);\n \\draw[-latex](-2.5,-1.5)--(-1.75,-0.75);\n \\fill[fill=blue!15,fill opacity=0.5] (-1,0)--(0,1)--(1,0)--(0,-1);\n \\fill[fill=blue!15,fill opacity=0.5] (1,0)--(2.5,1.5)--(2.75,1.5)--(2.75,-1.5)--(2.5,-1.5);\n \\fill[fill=blue!15,fill opacity=0.5] (-1,0)--(-2.5,1.5)--(-2.75,1.5)--(-2.75,-1.5)--(-2.5,-1.5);\n \\node at (0, 0.4) {$\\Omega_7$};\n \\node at (0, -0.4) {$\\Omega_8$};\n \\node at (2.2, 0.4) {$\\Omega_1$};\n \\node at (2.2, -0.4) {$\\Omega_6$};\n \\node at (-2.2, 0.4) {$\\Omega_3$};\n \\node at (-2.2, -0.4) {$\\Omega_4$};\n \\node at (0,1.4) {$\\Omega_2$};\n \\node at (0,-1.4) {$\\Omega_5$};\n \\node at (-2, 1.4) {$\\Sigma_6$};\n \\node at (-2, -1.4) {$\\Sigma_7$};\n \\node at (2, 1.4) {$\\Sigma_1$};\n \\node at (2, -1.4) {$\\Sigma_4$};\n \\node at (0.6, 0.8) {$\\Sigma_2$};\n \\node at (0.6,-0.8) {$\\Sigma_3$};\n \\node at (-0.6, 0.8) {$\\Sigma_5$};\n \\node at (-0.6,-0.8) {$\\Sigma_8$};\n \\end{tikzpicture}\n\n\\end{document}", "original_image": "original_70", 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[radius=0.05]node[right]{$\\lambda_5$};\n \\draw [fill] (1.6,-1.7) circle [radius=0.05]node[right]{$\\bar{\\lambda}_5$};\n \\draw [fill] (1,0) circle [radius=0.05];\n \\draw [fill] (2,0) circle [radius=0.05];\n \\node at (2.7, 0.2) {$Re\\lambda$};\n \\node at (0.8,-0.3) {$\\sqrt{v_1} / 2$};\n \\node at (1.8,-0.3) {$\\sqrt{v_2} / 2$};\n \\node at (-0.5,1.4) {$I$};\n \\end{tikzpicture}\n\n\\end{document}" ], "sample_images": [ "sample_73_0", "sample_73_1", "sample_73_2" ] }, { "tikz_code": "\\documentclass[article]{article}\n\\usepackage{color}\n\\usepackage{amsmath}\n\\usepackage{amssymb}\n\\usepackage{tikz}\n\\usetikzlibrary{fit}\n\\usepackage[T1]{fontenc}\n\n\\begin{document}\n\n\\begin{tikzpicture}[node distance=2cm]\n \\fill[fill=blue!15,fill opacity=0.5] \n (-1,0)--(-1.8, 2.5)--(0.9,2.5)--(1,0)--(1.8,-2.5)--(-0.9,-2.5);\n \\draw[thick] (-2.5, 0) -- (2.5, 0);\n \\draw[-latex] (0,0)--(2.5, 0);\n \\draw[thick] (-1,0)--(-1.8, 2.5) node[left]{$y=y_1+v_2t$};\n \\draw[thick] 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"\\documentclass[article]{article}\n\\usepackage{color}\n\\usepackage{amsmath}\n\\usepackage{amssymb}\n\\usepackage{tikz}\n\\usetikzlibrary{fit}\n\\usepackage[T1]{fontenc}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}[node distance=2.60cm]\n \\fill[cyan!33=blue!96,fill opacity=0.5] \n (-1,0)--(-1.8, 2.5)--(0.9,2.5)--(1,0)--(1.8,-2.5)--(-0.9,-2.5);\n \\draw[thin] (-2.5, 0) -- (2.5, 0);\n \\draw[thick] (-0.86,0.06)--(-1.8, 2.5) node[left]{$y=y_1+v_2t$};\n \\draw[thick] (1,0)--(0.9, 2.5) node[right]{$y=y_2+v_1t$};\n \\draw[thick] (1,0)--(1.8, -2.5)node[right]{$y=y_2+v_2t$};\n \\node at (2.5, -0.3) {$y$};\n \\node at (-1.2,-0.3) {$y_1$};\n \\node at (1.35,-0.3) {$y_2$};\n \\node at (-0.2,1.4) {$C$};\n \\end{tikzpicture}\n\n\\end{document}" ], "sample_images": [ "sample_74_0", "sample_74_1", "sample_74_2" ] }, { "tikz_code": "\\documentclass[article]{article}\n\\usepackage{color}\n\\usepackage{amsmath}\n\\usepackage{amssymb}\n\\usepackage{tikz}\n\\usetikzlibrary{fit}\n\\usepackage[T1]{fontenc}\n\n\\begin{document}\n\n\\begin{tikzpicture}\n\\node[anchor=south west,inner sep=0] (image) at (0,0)\n {\\includegraphics[width=\\textwidth]{example-image}};\n \\begin{scope}[x={(image.south east)},y={(image.north west)}]\n \\node at (0.5,0.8) {$|e^{2 i t \\theta}| \\rightarrow \\infty$};\n \\node at (0.5,0.2) {$|e^{2 i t \\theta}| \\rightarrow 0$};\n \\node at (0.15,0.35) {$|e^{2 i t \\theta}| \\rightarrow \\infty$};\n \\node at (0.15,0.65) {$|e^{2 i t \\theta}| \\rightarrow 0$};\n \\node at (0.85,0.35) {$|e^{2 i t \\theta}| \\rightarrow \\infty$};\n \\node at (0.85,0.65) {$|e^{2 i t \\theta}| \\rightarrow 0$};\n \\node at (0.5, 0.43) {$O$};\n \\node at (0.31, 0.45) {$-\\lambda_0$};\n \\node at (0.69,0.45) {$\\lambda_0$};\n \\node at (0.5, 1.05) {$t\\rightarrow +\\infty$};\n \\end{scope}\n\\end{tikzpicture}\n\n\\end{document}", "original_image": "original_75", "generated_samples": [ "\\documentclass[article]{article}\n\\usepackage{color}\n\\usepackage{amsmath}\n\\usepackage{amssymb}\n\\usepackage{tikz}\n\\usetikzlibrary{fit}\n\\usepackage[T1]{fontenc}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}\n\\node[anchor=south west,inner sep=0] (image) at (0,0)\n {\\includegraphics[width=\\textwidth]{example-image}};\n \\begin{scope}[x={(image.south east)},y={(image.north west)}]\n \\node at (0.5,0.8) {$|e^{2 i t \\theta}| \\rightarrow \\infty$};\n \\node at (0.5,0.2) {$|e^{2 i t \\theta}| \\rightarrow 0$};\n \\node at (0.15,0.35) {$|e^{2 i t \\theta}| \\rightarrow \\infty$};\n \\node at (0.15,0.65) {$|e^{2 i t \\theta}| \\rightarrow 0$};\n \\node at (0.85,0.35) {$|e^{2 i t \\theta}| \\rightarrow \\infty$};\n \\node at (0.85,0.65) {$|e^{2 i t \\theta}| \\rightarrow 0$};\n \\node at (0.5, 0.43) {$O$};\n \\node at (0.31, 0.45) {$-\\lambda_0$};\n \\node at (0.69,0.45) {$\\lambda_0$};\n \\node at (0.5, 1.05) {$t\\rightarrow +\\infty$};\n \\end{scope}\n\\end{tikzpicture}\n\n\\end{document}", "\\documentclass[article]{article}\n\\usepackage{color}\n\\usepackage{amsmath}\n\\usepackage{amssymb}\n\\usepackage{tikz}\n\\usetikzlibrary{fit}\n\\usepackage[T1]{fontenc}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}\n\\node[anchor=south west,inner sep=0] (image) at (0,0)\n {\\includegraphics[width=\\textwidth]{example-image}};\n \\begin{scope}[x={(image.south east)},y={(image.north west)}]\n \\node at (0.5,0.8) {$|e^{2 i t \\theta}| \\rightarrow \\infty$};\n \\node at (0.5,0.2) {$|e^{2 i t \\theta}| \\rightarrow 0$};\n \\node at (0.15,0.35) {$|e^{2 i t \\theta}| \\rightarrow \\infty$};\n \\node at (0.15,0.65) {$|e^{2 i t \\theta}| \\rightarrow 0$};\n \\node at (0.85,0.35) {$|e^{2 i t \\theta}| \\rightarrow \\infty$};\n \\node at (0.85,0.65) {$|e^{2 i t \\theta}| \\rightarrow 0$};\n \\node at (0.5, 0.43) {$O$};\n \\node at (0.31, 0.45) {$-\\lambda_0$};\n \\node at (0.69,0.45) {$\\lambda_0$};\n \\node at (0.5, 1.05) {$t\\rightarrow +\\infty$};\n \\end{scope}\n\\end{tikzpicture}\n\n\\end{document}", "\\documentclass[article]{article}\n\\usepackage{color}\n\\usepackage{amsmath}\n\\usepackage{amssymb}\n\\usepackage{tikz}\n\\usetikzlibrary{fit}\n\\usepackage[T1]{fontenc}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}\n\\node[anchor=south west,inner sep=0] (image) at (0,0)\n {\\includegraphics[width=\\textwidth]{example-image}};\n \\begin{scope}[x={(image.south east)},y={(image.north west)}]\n \\node at (0.5,0.8) {$|e^{2 i t \\theta}| \\rightarrow \\infty$};\n \\node at (0.5,0.2) {$|e^{2 i t \\theta}| \\rightarrow 0$};\n \\node at (0.15,0.35) {$|e^{2 i t \\theta}| \\rightarrow \\infty$};\n \\node at (0.15,0.65) {$|e^{2 i t \\theta}| \\rightarrow 0$};\n \\node at (0.85,0.35) {$|e^{2 i t \\theta}| \\rightarrow \\infty$};\n \\node at (0.85,0.65) {$|e^{2 i t \\theta}| \\rightarrow 0$};\n \\node at (0.5, 0.43) {$O$};\n \\node at (0.31, 0.45) {$-\\lambda_0$};\n \\node at (0.69,0.45) {$\\lambda_0$};\n \\node at (0.5, 1.05) {$t\\rightarrow +\\infty$};\n \\end{scope}\n\\end{tikzpicture}\n\n\\end{document}" ], "sample_images": [ "sample_75_0", "sample_75_1", "sample_75_2" ] }, { "tikz_code": "\\documentclass[article]{article}\n\\usepackage{color}\n\\usepackage{amsmath}\n\\usepackage{amssymb}\n\\usepackage{tikz}\n\\usetikzlibrary{fit}\n\\usepackage[T1]{fontenc}\n\n\\begin{document}\n\n\\begin{tikzpicture}\n\\node[anchor=south west,inner sep=0] (image) at (0,0)\n {\\includegraphics[width=\\textwidth]{example-image}};\n \\begin{scope}[x={(image.south east)},y={(image.north west)}]\n \\node at (0.5,0.8) {$|e^{2 i t \\theta}| \\rightarrow 0$};\n \\node at (0.5,0.2) {$|e^{2 i t \\theta}| \\rightarrow \\infty$};\n \\node at (0.15,0.35) {$|e^{2 i t \\theta}| \\rightarrow 0$};\n \\node at (0.15,0.65) {$|e^{2 i t \\theta}| \\rightarrow \\infty$};\n \\node at (0.85,0.35) {$|e^{2 i t \\theta}| \\rightarrow 0$};\n \\node at (0.85,0.65) {$|e^{2 i t \\theta}| \\rightarrow \\infty$};\n \\node at (0.5, 0.43) {$O$};\n \\node at (0.31, 0.45) {$-\\lambda_0$};\n \\node at (0.69,0.45) {$\\lambda_0$};\n \\node at (0.5, 1.05) {$t\\rightarrow -\\infty$};\n \\end{scope}\n\\end{tikzpicture}\n\n\\end{document}", "original_image": "original_76", "generated_samples": [ "\\documentclass[article]{article}\n\\usepackage{color}\n\\usepackage{amsmath}\n\\usepackage{amssymb}\n\\usepackage{tikz}\n\\usetikzlibrary{fit}\n\\usepackage[T1]{fontenc}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}\n\\node[anchor=south west,inner sep=0] (image) at (0,0)\n {\\includegraphics[width=\\textwidth]{example-image}};\n \\begin{scope}[x={(image.south east)},y={(image.north west)}]\n \\node at (0.5,0.8) {$|e^{2 i t \\theta}| \\rightarrow 0$};\n \\node at (0.5,0.2) {$|e^{2 i t \\theta}| \\rightarrow \\infty$};\n \\node at (0.15,0.35) {$|e^{2 i t \\theta}| \\rightarrow 0$};\n \\node at (0.15,0.65) {$|e^{2 i t \\theta}| \\rightarrow \\infty$};\n \\node at (0.85,0.35) {$|e^{2 i t \\theta}| \\rightarrow 0$};\n \\node at (0.85,0.65) {$|e^{2 i t \\theta}| \\rightarrow \\infty$};\n \\node at (0.5, 0.43) {$O$};\n \\node at (0.31, 0.45) {$-\\lambda_0$};\n \\node at (0.69,0.45) {$\\lambda_0$};\n \\node at (0.5, 1.05) {$t\\rightarrow -\\infty$};\n \\end{scope}\n\\end{tikzpicture}\n\n\\end{document}", "\\documentclass[article]{article}\n\\usepackage{color}\n\\usepackage{amsmath}\n\\usepackage{amssymb}\n\\usepackage{tikz}\n\\usetikzlibrary{fit}\n\\usepackage[T1]{fontenc}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}\n\\node[anchor=south west,inner sep=0] (image) at (0,0)\n {\\includegraphics[width=\\textwidth]{example-image}};\n \\begin{scope}[x={(image.south east)},y={(image.north west)}]\n \\node at (0.5,0.8) {$|e^{2 i t \\theta}| \\rightarrow 0$};\n \\node at (0.5,0.2) {$|e^{2 i t \\theta}| \\rightarrow \\infty$};\n \\node at (0.15,0.35) {$|e^{2 i t \\theta}| \\rightarrow 0$};\n \\node at (0.15,0.65) {$|e^{2 i t \\theta}| \\rightarrow \\infty$};\n \\node at (0.85,0.35) {$|e^{2 i t \\theta}| \\rightarrow 0$};\n \\node at (0.85,0.65) {$|e^{2 i t \\theta}| \\rightarrow \\infty$};\n \\node at (0.5, 0.43) {$O$};\n \\node at (0.31, 0.45) {$-\\lambda_0$};\n \\node at (0.69,0.45) {$\\lambda_0$};\n \\node at (0.5, 1.05) {$t\\rightarrow -\\infty$};\n \\end{scope}\n\\end{tikzpicture}\n\n\\end{document}", "\\documentclass[article]{article}\n\\usepackage{color}\n\\usepackage{amsmath}\n\\usepackage{amssymb}\n\\usepackage{tikz}\n\\usetikzlibrary{fit}\n\\usepackage[T1]{fontenc}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}\n\\node[anchor=south west,inner sep=0] (image) at (0,0)\n {\\includegraphics[width=\\textwidth]{example-image}};\n \\begin{scope}[x={(image.south east)},y={(image.north west)}]\n \\node at (0.5,0.8) {$|e^{2 i t \\theta}| \\rightarrow 0$};\n \\node at (0.5,0.2) {$|e^{2 i t \\theta}| \\rightarrow \\infty$};\n \\node at (0.15,0.35) {$|e^{2 i t \\theta}| \\rightarrow 0$};\n \\node at (0.15,0.65) {$|e^{2 i t \\theta}| \\rightarrow \\infty$};\n \\node at (0.85,0.35) {$|e^{2 i t \\theta}| \\rightarrow 0$};\n \\node at (0.85,0.65) {$|e^{2 i t \\theta}| \\rightarrow \\infty$};\n \\node at (0.5, 0.43) {$O$};\n \\node at (0.31, 0.45) {$-\\lambda_0$};\n \\node at (0.69,0.45) {$\\lambda_0$};\n \\node at (0.5, 1.05) {$t\\rightarrow -\\infty$};\n \\end{scope}\n\\end{tikzpicture}\n\n\\end{document}" ], "sample_images": [ "sample_76_0", "sample_76_1", "sample_76_2" ] }, { "tikz_code": "\\documentclass[a4paper,12pt]{article}\n\\usepackage{epsfig,graphicx,xcolor,amsbsy,amssymb,latexsym,amsfonts,amsmath,,tcolorbox,setspace}\n\\usepackage{color}\n\\usepackage{tikz}\n\\usetikzlibrary{decorations.pathreplacing,decorations.markings,snakes}\n\\usetikzlibrary{decorations.pathmorphing}\n\\usetikzlibrary{patterns}\n\\usetikzlibrary{calc}\n\\usepackage{xcolor}\n\\usepackage{amsmath,amssymb,amsfonts,pstricks,setspace}\n\n\\newcommand{\\ms}{S}\n\n\\newcommand{\\mi}{I}\n\n\\newcommand{\\rin}{\\gamma}\n\n\\newcommand{\\rhe}{\\epsilon}\n\n\\begin{document}\n\n\\begin{tikzpicture}\n\\draw[thick] (0,0) rectangle (1,1);\n\\node at (0.5,0.5) {$N\\,\\ms$};\n%\n\\begin{scope}[xshift=3cm,yshift=1.25cm]\n\\draw[thick] (0,0) rectangle (1,1);\n\\node at (0.5,0.5) {$N\\,\\mi_1$};\n\\end{scope}\n%\n\\begin{scope}[xshift=3cm,yshift=-1.25cm]\n\\draw[thick] (0,0) rectangle (1,1);\n\\node at (0.5,0.5) {$N\\,\\mi_2$};\n\\end{scope}\n%\n\\begin{scope}[xshift=6cm]\n\\draw[thick] (0,0) rectangle (1,1);\n\\node at (0.5,0.5) {$N\\,R$};\n\\end{scope}\n%\n\\draw[ultra thick,->] (0.5,1.2) -- (0.5,1.7) -- (2.8,1.7);\n\\draw[ultra thick,->] (4.2,1.7) -- (6.5,1.7) -- (6.5,1.2);\n\\draw[ultra thick,->] (0.5,-0.2) -- (0.5,-0.7) -- (2.8,-0.7);\n\\draw[ultra thick,->] (4.2,-0.7) -- (6.5,-0.7) -- (6.5,-0.2);\n%\n\\node at (1.75,2) {$N\\,\\rin_1\\, \\ms\\,\\mi_1 $};\n\\node at (5.25,2) {$N\\,\\rhe_1\\,\\mi_1 $};\n\\node at (1.75,-1.1) {$N\\,\\rin_2\\, \\ms\\,\\mi_2 $};\n\\node at (5.25,-1.1) {$N\\,\\rhe_2\\,\\mi_2 $};\n\\end{tikzpicture}\n\n\\end{document}", "original_image": "original_77", "generated_samples": [ 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{$N\\,\\mi_2$};\n\\end{scope}\n%\n\\begin{scope}[xshift=6cm]\n\\draw[thin] (0,0) rectangle (1,1);\n\\node at (0.5,0.5) {$N\\,R$};\n\\end{scope}\n%\n\\draw[ultra thick,->] (0.5,1.2) -- (0.5,1.7) -- (2.8,1.7);\n\\draw[ultra thin,->] (4.2,1.7) -- (6.5,1.7) -- (6.5,1.2);\n\\draw[ultra thick,->] (0.65,-0.15) -- (0.72,-0.67) -- (2.95,-0.59);\n\\draw[ultra thin,->] (4.2,-0.7) -- (6.5,-0.7) -- (6.5,-0.2);\n%\n\\node at (1.75,2) {$N\\,\\rin_1\\, \\ms\\,\\mi_1 $};\n\\node at (5.25,2) {$N\\,\\rhe_1\\,\\mi_1 $};\n\\node at (1.75,-1.1) {$N\\,\\rin_2\\, \\ms\\,\\mi_2 $};\n\\node at (5.25,-1.1) {$N\\,\\rhe_2\\,\\mi_2 $};\n\\end{tikzpicture}\n\n\\end{document}", "\\documentclass[a4paper,12pt]{article}\n\\usepackage{epsfig,graphicx,xcolor,amsbsy,amssymb,latexsym,amsfonts,amsmath,,tcolorbox,setspace}\n\\usepackage{color}\n\\usepackage{tikz}\n\\usetikzlibrary{decorations.pathreplacing,decorations.markings,snakes}\n\\usetikzlibrary{decorations.pathmorphing}\n\\usetikzlibrary{patterns}\n\\usetikzlibrary{calc}\n\\usepackage{xcolor}\n\\usepackage{amsmath,amssymb,amsfonts,pstricks,setspace}\n\n\\newcommand{\\ms}{S}\n\n\\newcommand{\\mi}{I}\n\n\\newcommand{\\rin}{\\gamma}\n\n\\newcommand{\\rhe}{\\epsilon}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}\n\\draw[thick] (0,0) rectangle (1,1);\n\\node at (0.5,0.5) {$N\\,\\ms$};\n%\n\\begin{scope}[xshift=3cm,yshift=1.25cm]\n\\draw[thick] (0,0) rectangle (1,1);\n\\node at (0.5,0.5) {$N\\,\\mi_1$};\n\\end{scope}\n%\n\\begin{scope}[xshift=3cm,yshift=-1.25cm]\n\\draw[thin] (0.13,0.25) rectangle (1.03,1.18);\n\\node at (0.5,0.5) {$N\\,\\mi_2$};\n\\end{scope}\n%\n\\begin{scope}[xshift=6cm]\n\\node at (0.5,0.5) {$N\\,R$};\n\\end{scope}\n%\n\\draw[ultra thick,->] (4.2,1.7) -- (6.5,1.7) -- (6.5,1.2);\n\\draw[ultra thin,->] (4.2,-0.7) -- (6.5,-0.7) -- (6.5,-0.2);\n%\n\\node at (1.75,2) {$N\\,\\rin_1\\, \\ms\\,\\mi_1 $};\n\\node at (5.25,2) {$N\\,\\rhe_1\\,\\mi_1 $};\n\\node at (1.75,-1.1) {$N\\,\\rin_2\\, \\ms\\,\\mi_2 $};\n\\node at (5.25,-1.1) {$N\\,\\rhe_2\\,\\mi_2 $};\n\\end{tikzpicture}\n\n\\end{document}", "\\documentclass[a4paper,12pt]{article}\n\\usepackage{epsfig,graphicx,xcolor,amsbsy,amssymb,latexsym,amsfonts,amsmath,,tcolorbox,setspace}\n\\usepackage{color}\n\\usepackage{tikz}\n\\usetikzlibrary{decorations.pathreplacing,decorations.markings,snakes}\n\\usetikzlibrary{decorations.pathmorphing}\n\\usetikzlibrary{patterns}\n\\usetikzlibrary{calc}\n\\usepackage{xcolor}\n\\usepackage{amsmath,amssymb,amsfonts,pstricks,setspace}\n\n\\newcommand{\\ms}{S}\n\n\\newcommand{\\mi}{I}\n\n\\newcommand{\\rin}{\\gamma}\n\n\\newcommand{\\rhe}{\\epsilon}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}\n\\draw[thick] (0,0) rectangle (1,1);\n\\node at (0.5,0.5) {$N\\,\\ms$};\n%\n\\begin{scope}[xshift=3cm,yshift=1.25cm]\n\\draw[thin] (0.06,0.07) rectangle (1.2,1.01);\n\\node at (0.5,0.5) {$N\\,\\mi_1$};\n\\end{scope}\n%\n\\begin{scope}[xshift=3cm,yshift=-1.25cm]\n\\draw[thin] (0.06,0.07) rectangle (1.2,1.01);\n\\node at (0.5,0.5) {$N\\,\\mi_2$};\n\\end{scope}\n%\n\\begin{scope}[xshift=6cm]\n\\draw[thin] (0.06,0.07) rectangle (1.2,1.01);\n\\node at (0.5,0.5) {$N\\,R$};\n\\end{scope}\n%\n\\draw[ultra thin,->] (0.5,1.2) -- (0.5,1.7) -- (2.8,1.7);\n\\draw[ultra thick,->] (0.5,-0.2) -- (0.5,-0.7) -- (2.8,-0.7);\n\\draw[ultra thick,->] (4.2,-0.7) -- (6.5,-0.7) -- (6.5,-0.2);\n%\n\\node at (1.75,2) {$N\\,\\rin_1\\, \\ms\\,\\mi_1 $};\n\\node at (5.25,2) {$N\\,\\rhe_1\\,\\mi_1 $};\n\\node at (1.75,-1.1) {$N\\,\\rin_2\\, \\ms\\,\\mi_2 $};\n\\node at (5.25,-1.1) {$N\\,\\rhe_2\\,\\mi_2 $};\n\\end{tikzpicture}\n\n\\end{document}" ], "sample_images": [ "sample_77_0", "sample_77_1", "sample_77_2" ] }, { "tikz_code": "\\documentclass[12pt]{article}\n\\usepackage{amssymb,latexsym,amsmath,amsthm}\n\\usepackage{tikz}\n\\usetikzlibrary{shapes,backgrounds,calc}\n\\usepackage[utf8]{inputenc}\n\\usepackage{color}\n\n\\begin{document}\n\n\\begin{tikzpicture}[scale=0.15]\n\t\\fill[black] (-1,0) arc (180:0:1) ;\n\t\\fill[black] (-1,0) arc (0:180:-1) ;\n\t\\draw[black] (0,0) circle (1) ;\n \\end{tikzpicture}\n\n\\end{document}", "original_image": "original_78", "generated_samples": [ "\\documentclass[12pt]{article}\n\\usepackage{amssymb,latexsym,amsmath,amsthm}\n\\usepackage{tikz}\n\\usetikzlibrary{shapes,backgrounds,calc}\n\\usepackage[utf8]{inputenc}\n\\usepackage{color}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}[scale=0.15]\n\t\\fill[green!73] (-1,0) arc (180:0:0.77) ;\n\t\\fill[orange!76] (-1,0) arc (0:180:-1) ;\n\t\\draw[orange] (0,0) circle (1) ;\n \\end{tikzpicture}\n\n\\end{document}", "\\documentclass[12pt]{article}\n\\usepackage{amssymb,latexsym,amsmath,amsthm}\n\\usepackage{tikz}\n\\usetikzlibrary{shapes,backgrounds,calc}\n\\usepackage[utf8]{inputenc}\n\\usepackage{color}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}[scale=0.15]\n\t\\fill[brown!49] (-1,0) arc (180:0:0.14) ;\n\t\\fill[black!94] (-1,0) arc (0:180:-1) ;\n\t\\draw[brown] (0,0) circle (1) ;\n \\end{tikzpicture}\n\n\\end{document}", "\\documentclass[12pt]{article}\n\\usepackage{amssymb,latexsym,amsmath,amsthm}\n\\usepackage{tikz}\n\\usetikzlibrary{shapes,backgrounds,calc}\n\\usepackage[utf8]{inputenc}\n\\usepackage{color}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}[scale=0.15]\n\t\\fill[orange!45] (-1,0) arc (180:0:1.45) ;\n\t\\fill[blue!85] (-1,0) arc (0:180:-1) ;\n\t\\draw[yellow] (0,0) circle (1) ;\n \\end{tikzpicture}\n\n\\end{document}" ], "sample_images": [ "sample_78_0", "sample_78_1", "sample_78_2" ] }, { "tikz_code": "\\documentclass[12pt]{article}\n\\usepackage{amssymb,latexsym,amsmath,amsthm}\n\\usepackage{tikz}\n\\usetikzlibrary{shapes,backgrounds,calc}\n\\usepackage[utf8]{inputenc}\n\\usepackage{color}\n\n\\begin{document}\n\n\\begin{tikzpicture}[scale=0.15]\n\t\\fill[black] (-1,0) arc (180:0:1) ;\n\t\\draw[black] (0,0) circle (1) ;\n \\end{tikzpicture}\n\n\\end{document}", 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"\\documentclass[12pt]{article}\n\\usepackage{amssymb,latexsym,amsmath,amsthm}\n\\usepackage{tikz}\n\\usetikzlibrary{shapes,backgrounds,calc}\n\\usepackage[utf8]{inputenc}\n\\usepackage{color}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}[scale=0.15]\n\t\\fill[purple!4] (-1,0) arc (180:0:0.00) ;\n\t\\draw[purple] (0,0) circle (1) ;\n \\end{tikzpicture}\n\n\\end{document}" ], "sample_images": [ "sample_79_0", "sample_79_1", "sample_79_2" ] }, { "tikz_code": "\\documentclass[12pt]{article}\n\\usepackage{amssymb,latexsym,amsmath,amsthm}\n\\usepackage{tikz}\n\\usetikzlibrary{shapes,backgrounds,calc}\n\\usepackage[utf8]{inputenc}\n\\usepackage{color}\n\n\\begin{document}\n\n\\begin{tikzpicture}[scale=0.15]\n\t\\fill[black] (-1,0) arc (0:180:-1) ;\n\t\\draw[black] (0,0) circle (1) ;\n \\end{tikzpicture}\n\n\\end{document}", "original_image": "original_80", "generated_samples": [ "\\documentclass[12pt]{article}\n\\usepackage{amssymb,latexsym,amsmath,amsthm}\n\\usepackage{tikz}\n\\usetikzlibrary{shapes,backgrounds,calc}\n\\usepackage[utf8]{inputenc}\n\\usepackage{color}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}[scale=0.15]\n\t\\fill[cyan!86] (-1,0) arc (0:180:-1) ;\n\t\\draw[orange] (0,0) circle (1) ;\n \\end{tikzpicture}\n\n\\end{document}", "\\documentclass[12pt]{article}\n\\usepackage{amssymb,latexsym,amsmath,amsthm}\n\\usepackage{tikz}\n\\usetikzlibrary{shapes,backgrounds,calc}\n\\usepackage[utf8]{inputenc}\n\\usepackage{color}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}[scale=0.15]\n\t\\fill[green!14] (-1,0) arc (0:180:-1) ;\n\t\\draw[purple] (0.0,0.23) circle (1) ;\n \\end{tikzpicture}\n\n\\end{document}", 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"\\documentclass[12pt]{article}\n\\usepackage{amssymb,latexsym,amsmath,amsthm}\n\\usepackage{tikz}\n\\usetikzlibrary{shapes,backgrounds,calc}\n\\usepackage[utf8]{inputenc}\n\\usepackage{color}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}[scale=0.15]\n\t\\draw[cyan] (-0.87,0.11) -- (1.15,0.1) ;\n \\end{tikzpicture}\n\n\\end{document}", "\\documentclass[12pt]{article}\n\\usepackage{amssymb,latexsym,amsmath,amsthm}\n\\usepackage{tikz}\n\\usetikzlibrary{shapes,backgrounds,calc}\n\\usepackage[utf8]{inputenc}\n\\usepackage{color}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}[scale=0.15]\n\t\\draw[purple] (0.09,0.12) circle (1) ;\n\t\\draw[yellow] (-1,0) -- (1,0) ;\n \\end{tikzpicture}\n\n\\end{document}", 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"\\documentclass[12pt]{article}\n\\usepackage{amssymb,latexsym,amsmath,amsthm}\n\\usepackage{tikz}\n\\usetikzlibrary{shapes,backgrounds,calc}\n\\usepackage[utf8]{inputenc}\n\\usepackage{color}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}[scale=0.65]\n\t\t\\node[shape=circle,draw=purple!79,fill=yellow!14,inner sep=2pt] (1) at (0,0){};\n\t\\end{tikzpicture}\n\n\\end{document}", "\\documentclass[12pt]{article}\n\\usepackage{amssymb,latexsym,amsmath,amsthm}\n\\usepackage{tikz}\n\\usetikzlibrary{shapes,backgrounds,calc}\n\\usepackage[utf8]{inputenc}\n\\usepackage{color}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}[scale=0.65]\n\t\t\\node[shape=circle,draw=red!98,fill=blue!82,inner sep=2pt] (1) at (0,0){};\n\t\\end{tikzpicture}\n\n\\end{document}", 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"\\documentclass[12pt]{article}\n\\usepackage{amssymb,latexsym,amsmath,amsthm}\n\\usepackage{tikz}\n\\usetikzlibrary{shapes,backgrounds,calc}\n\\usepackage[utf8]{inputenc}\n\\usepackage{color}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}[scale=0.65]\n\t\\node[shape=circle,draw=cyan!25,fill=orange!66,inner sep=2pt] (1) at (0,0){};\n\\end{tikzpicture}\n\n\\end{document}" ], "sample_images": [ "sample_83_0", "sample_83_1", "sample_83_2" ] }, { "tikz_code": "\\documentclass[12pt]{article}\n\\usepackage{amssymb,latexsym,amsmath,amsthm}\n\\usepackage{tikz}\n\\usetikzlibrary{shapes,backgrounds,calc}\n\\usepackage[utf8]{inputenc}\n\\usepackage{color}\n\n\\begin{document}\n\n\\begin{tikzpicture}[scale=.75]\n\t\\draw (0,0) circle (5cm);\n\t\\node[inner sep=0.5mm,draw=black,fill=white,shape=circle] (v) at (0,-5) {\\small $v$};\n\t\\foreach \\i in {1,...,22} {\n\t\t\\node[inner sep=0.5mm,draw=black,fill=white,shape=circle] (v\\i) at ({360/23 * \\i - 90}:5) {};\n\t}\n\t\\draw[dotted] (v) -- (0,5.8);\n\t\\node at (-4,4.5) {$N^-(v)$}; \\node at (4,4.5) {$N^+(v)$};\n\t\\node at (2.5,0) {Transitive};\n\t\\node at (-2.5,0) {Transitive};\n\t\\draw[very thick,->] (2,{-sqrt(12)}) arc (-60:60:4cm);\n\t\\draw[very thick,->] (-2,{sqrt(12)}) arc (120:240:4cm);\n\\end{tikzpicture}\n\n\\end{document}", "original_image": "original_84", "generated_samples": [ "\\documentclass[12pt]{article}\n\\usepackage{amssymb,latexsym,amsmath,amsthm}\n\\usepackage{tikz}\n\\usetikzlibrary{shapes,backgrounds,calc}\n\\usepackage[utf8]{inputenc}\n\\usepackage{color}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}[scale=.75]\n\t\\node[inner sep=0.5mm,draw=black!61,fill=yellow!22,shape=circle] (v) at (0,-5) {\\small $\\cos$};\n\t\\foreach \\i in {1,...,22} {\n\t\t\\node[inner sep=0.5mm,draw=blue!33,fill=green!9,shape=circle] (v\\i) at ({360/23 * \\i - 90}:5) {};\n\t}\n\t\\draw[dashed] (v) -- (0.22,5.85);\n\t\\node at (-4,4.5) {$N^-(v)$}; \\node at (4,4.5) {$N^+(v)$};\n\t\\node at (2.5,0) {Transitive};\n\t\\node at (-2.5,0) {Transitive};\n\t\\draw[thick,->] (2,{-sqrt(12)}) arc (-60:60:4cm);\n\\end{tikzpicture}\n\n\\end{document}", "\\documentclass[12pt]{article}\n\\usepackage{amssymb,latexsym,amsmath,amsthm}\n\\usepackage{tikz}\n\\usetikzlibrary{shapes,backgrounds,calc}\n\\usepackage[utf8]{inputenc}\n\\usepackage{color}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}[scale=.75]\n\t\\draw (0.06,0.22) circle (5cm);\n\t\\node[inner sep=0.5mm,draw=purple!98,fill=brown!67,shape=circle] (v) at (0,-5) {\\small $\\cos$};\n\t\\foreach \\i in {1,...,22} {\n\t\t\\node[inner sep=0.5mm,draw=orange!49,fill=orange!79,shape=circle] (v\\i) at ({360/23 * \\i - 90}:5) {};\n\t}\n\t\\draw[dashed] (v) -- (0,5.8);\n\t\\node at (-4,4.5) {$N^-(v)$}; \\node at (4,4.5) {$N^+(v)$};\n\t\\node at (2.5,0) {Transitive};\n\t\\node at (-2.5,0) {Transitive};\n\t\\draw[thin,->] (2,{-sqrt(12)}) arc (-60:60:4cm);\n\t\\draw[thick,->] (-2,{sqrt(12)}) arc (120:240:2.65cm);\n\\end{tikzpicture}\n\n\\end{document}", "\\documentclass[12pt]{article}\n\\usepackage{amssymb,latexsym,amsmath,amsthm}\n\\usepackage{tikz}\n\\usetikzlibrary{shapes,backgrounds,calc}\n\\usepackage[utf8]{inputenc}\n\\usepackage{color}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}[scale=.75]\n\t\\draw (0,0) circle (5cm);\n\t\\node[inner sep=0.5mm,draw=cyan!22,fill=black!81,shape=circle] (v) at (0,-5) {\\small $\\cos$};\n\t\\foreach \\i in {1,...,22} {\n\t\t\\node[inner sep=0.5mm,draw=blue!62,fill=yellow!97,shape=circle] (v\\i) at ({360/23 * \\i - 90}:5) {};\n\t}\n\t\\draw[dashed] (v) -- (0.05,6.04);\n\t\\node at (-4,4.5) {$N^-(v)$}; \\node at (4,4.5) {$N^+(v)$};\n\t\\node at (2.5,0) {Transitive};\n\t\\node at (-2.5,0) {Transitive};\n\\end{tikzpicture}\n\n\\end{document}" ], "sample_images": [ "sample_84_0", "sample_84_1", "sample_84_2" ] }, { "tikz_code": "\\documentclass[12pt]{article}\n\\usepackage{amssymb,latexsym,amsmath,amsthm}\n\\usepackage{tikz}\n\\usetikzlibrary{shapes,backgrounds,calc}\n\\usepackage[utf8]{inputenc}\n\\usepackage{color}\n\n\\begin{document}\n\n\\begin{tikzpicture}[scale=0.75]\n \\draw (-5,-4.5) rectangle (5.5,4.5);\n \\node (Tn) at (-4.5,4) {\\Large $T_n$};\n\t\\draw (-3,0) circle (1.5cm);\n\t\\node (H) at (-3,2) {$H_n = T_{\\alpha n}$};\n\t\\draw (-3.75,0) circle (.4cm); \\node (han) at (-3.75,0) {\\scriptsize $H_{\\alpha n}$};\n\t\\draw (-2.25,0) ellipse (.4cm and 1cm); \\node (lan) at (-2.25,0) {\\scriptsize $L_{\\alpha n}$};\n\t\\draw[->,very thick] (-3.35,0.2) -- (-2.65,0.2);\n\t\\draw[->,very thick] (-3.35,-.2) -- (-2.65,-.2);\n\t\\draw (2.5,0) ellipse (2.5cm and 4cm);\n\t\\node (QR) at (2.5,2) {$L_n$};\n\t\\node (QR1) at (2.5,0) {Random, $(1-\\alpha)n$};\n\t\\draw[->,very thick] (-1.5,0.2) -- (0,0.2);\n\t\\draw[->,very thick] (-1.5,-.2) -- (0,-.2);\n\\end{tikzpicture}\n\n\\end{document}", "original_image": "original_85", "generated_samples": [ "\\documentclass[12pt]{article}\n\\usepackage{amssymb,latexsym,amsmath,amsthm}\n\\usepackage{tikz}\n\\usetikzlibrary{shapes,backgrounds,calc}\n\\usepackage[utf8]{inputenc}\n\\usepackage{color}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}[scale=0.75]\n \\draw (-5,-4.5) rectangle (5.5,4.5);\n \\node (Tn) at (-4.5,4) {\\Large $\\cos$};\n\t\\draw (-3,0) circle (1.5cm);\n\t\\node (H) at (-3,2) {$H_n = T_{\\alpha n}$};\n\t\\draw (-3.75,0) circle (.4cm); \\node (han) at (-3.75,0) {\\scriptsize $H_{\\alpha n}$};\n\t\\draw (-2.25,0) ellipse (.4cm and 1cm); \\node (lan) at (-2.25,0) {\\scriptsize $L_{\\alpha n}$};\n\t\\draw[->,thin] (-3.35,0.2) -- (-2.65,0.2);\n\t\\draw[->,thick] (-3.35,-.2) -- (-2.65,-.2);\n\t\\draw (2.5,0) ellipse (2.5cm and 4cm);\n\t\\node (QR) at (2.5,2) {$\\cos$};\n\t\\node (QR1) at (2.5,0) {Random, $\\cos$};\n\t\\draw[->,thin] (-1.5,0.2) -- (0,0.2);\n\t\\draw[->,thin] (-1.5,-.2) -- (0,-.2);\n\\end{tikzpicture}\n\n\\end{document}", "\\documentclass[12pt]{article}\n\\usepackage{amssymb,latexsym,amsmath,amsthm}\n\\usepackage{tikz}\n\\usetikzlibrary{shapes,backgrounds,calc}\n\\usepackage[utf8]{inputenc}\n\\usepackage{color}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}[scale=0.75]\n \\draw (-5,-4.5) rectangle (5.5,4.5);\n \\node (Tn) at (-4.5,4) {\\Large $\\cos$};\n\t\\draw (-3,0) circle (1.5cm);\n\t\\node (H) at (-3,2) {$H_n = T_{\\alpha n}$};\n\t\\draw (-3.75,0) circle (.4cm); \\node (han) at (-3.75,0) {\\scriptsize $H_{\\alpha n}$};\n\t\\draw (-2.14,0.15) ellipse (.4cm and 1cm); \\node (lan) at (-2.25,0) {\\scriptsize $L_{\\alpha n}$};\n\t\\draw[->,thin] (-3.11,0.22) -- (-2.46,0.37);\n\t\\draw[->,thick] (-3.35,-.2) -- (-2.65,-.2);\n\t\\draw (2.5,0) ellipse (2.5cm and 4cm);\n\t\\node (QR) at (2.5,2) {$\\cos$};\n\t\\node (QR1) at (2.5,0) {Random, $\\cos$};\n\t\\draw[->,thin] (-1.5,0.2) -- (0,0.2);\n\t\\draw[->,thin] (-1.5,-.2) -- (0,-.2);\n\\end{tikzpicture}\n\n\\end{document}", "\\documentclass[12pt]{article}\n\\usepackage{amssymb,latexsym,amsmath,amsthm}\n\\usepackage{tikz}\n\\usetikzlibrary{shapes,backgrounds,calc}\n\\usepackage[utf8]{inputenc}\n\\usepackage{color}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}[scale=0.75]\n \\draw (-4.84,-4.31) rectangle (5.74,4.65);\n \\node (Tn) at (-4.5,4) {\\Large $\\cos$};\n\t\\draw (-3,0) circle (1.5cm);\n\t\\node (H) at (-3,2) {$H_n = T_{\\alpha n}$};\n\t\\draw (-2.25,0) ellipse (.4cm and 1cm); \\node (lan) at (-2.25,0) {\\scriptsize $L_{\\alpha n}$};\n\t\\draw[->,thick] (-3.35,0.2) -- (-2.65,0.2);\n\t\\node (QR) at (2.5,2) {$\\cos$};\n\t\\node (QR1) at (2.5,0) {Random, $\\cos$};\n\t\\draw[->,thin] (-1.5,0.2) -- (0,0.2);\n\t\\draw[->,thick] (-1.5,-.2) -- (0,-.2);\n\\end{tikzpicture}\n\n\\end{document}" ], "sample_images": [ "sample_85_0", "sample_85_1", "sample_85_2" ] }, { "tikz_code": "\\documentclass[12pt]{article}\n\\usepackage{amssymb,latexsym,amsmath,amsthm}\n\\usepackage{tikz}\n\\usetikzlibrary{shapes,backgrounds,calc}\n\\usepackage[utf8]{inputenc}\n\\usepackage{color}\n\n\\begin{document}\n\n\\begin{tikzpicture}[scale=0.65]\n\t\\node[shape=circle,fill=black,inner sep=2pt] (1) at (0,0){};\n\\end{tikzpicture}\n\n\\end{document}", "original_image": "original_86", "generated_samples": [ "\\documentclass[12pt]{article}\n\\usepackage{amssymb,latexsym,amsmath,amsthm}\n\\usepackage{tikz}\n\\usetikzlibrary{shapes,backgrounds,calc}\n\\usepackage[utf8]{inputenc}\n\\usepackage{color}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}[scale=0.65]\n\t\\node[shape=circle,fill=cyan!83,inner sep=2pt] (1) at (0,0){};\n\\end{tikzpicture}\n\n\\end{document}", "\\documentclass[12pt]{article}\n\\usepackage{amssymb,latexsym,amsmath,amsthm}\n\\usepackage{tikz}\n\\usetikzlibrary{shapes,backgrounds,calc}\n\\usepackage[utf8]{inputenc}\n\\usepackage{color}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}[scale=0.65]\n\t\\node[shape=circle,fill=cyan!77,inner sep=2pt] (1) at (0,0){};\n\\end{tikzpicture}\n\n\\end{document}", "\\documentclass[12pt]{article}\n\\usepackage{amssymb,latexsym,amsmath,amsthm}\n\\usepackage{tikz}\n\\usetikzlibrary{shapes,backgrounds,calc}\n\\usepackage[utf8]{inputenc}\n\\usepackage{color}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}[scale=0.65]\n\t\\node[shape=circle,fill=black!66,inner sep=2pt] (1) at (0,0){};\n\\end{tikzpicture}\n\n\\end{document}" ], "sample_images": [ "sample_86_0", "sample_86_1", "sample_86_2" ] }, { "tikz_code": "\\documentclass[12pt]{article}\n\\usepackage{amssymb,latexsym,amsmath,amsthm}\n\\usepackage{tikz}\n\\usetikzlibrary{shapes,backgrounds,calc}\n\\usepackage[utf8]{inputenc}\n\\usepackage{color}\n\n\\begin{document}\n\n\\begin{tikzpicture}\n\t\t\t\\node[shape=circle,draw=black,fill=black,inner sep=2pt] (1) at (0,0) {};\n\t\t\\end{tikzpicture}\n\n\\end{document}", "original_image": "original_87", "generated_samples": [ "\\documentclass[12pt]{article}\n\\usepackage{amssymb,latexsym,amsmath,amsthm}\n\\usepackage{tikz}\n\\usetikzlibrary{shapes,backgrounds,calc}\n\\usepackage[utf8]{inputenc}\n\\usepackage{color}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}\n\t\t\t\\node[shape=circle,draw=purple!12,fill=cyan!19,inner sep=2pt] (1) at (0,0) {};\n\t\t\\end{tikzpicture}\n\n\\end{document}", "\\documentclass[12pt]{article}\n\\usepackage{amssymb,latexsym,amsmath,amsthm}\n\\usepackage{tikz}\n\\usetikzlibrary{shapes,backgrounds,calc}\n\\usepackage[utf8]{inputenc}\n\\usepackage{color}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}\n\t\t\t\\node[shape=circle,draw=orange!54,fill=purple!85,inner sep=2pt] (1) at (0,0) {};\n\t\t\\end{tikzpicture}\n\n\\end{document}", "\\documentclass[12pt]{article}\n\\usepackage{amssymb,latexsym,amsmath,amsthm}\n\\usepackage{tikz}\n\\usetikzlibrary{shapes,backgrounds,calc}\n\\usepackage[utf8]{inputenc}\n\\usepackage{color}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}\n\t\t\t\\node[shape=circle,draw=green!91,fill=brown!52,inner sep=2pt] (1) at (0,0) {};\n\t\t\\end{tikzpicture}\n\n\\end{document}" ], "sample_images": [ "sample_87_0", "sample_87_1", "sample_87_2" ] }, { "tikz_code": "\\documentclass[12pt]{article}\n\\usepackage{amssymb,latexsym,amsmath,amsthm}\n\\usepackage{tikz}\n\\usetikzlibrary{shapes,backgrounds,calc}\n\\usepackage[utf8]{inputenc}\n\\usepackage{color}\n\n\\begin{document}\n\n\\begin{tikzpicture}\n\t\t\t\\node[shape=circle,draw=black,fill=white,inner sep=2pt] (1) at (0,0) {};\n\t\t\\end{tikzpicture}\n\n\\end{document}", "original_image": "original_88", "generated_samples": [ "\\documentclass[12pt]{article}\n\\usepackage{amssymb,latexsym,amsmath,amsthm}\n\\usepackage{tikz}\n\\usetikzlibrary{shapes,backgrounds,calc}\n\\usepackage[utf8]{inputenc}\n\\usepackage{color}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}\n\t\t\t\\node[shape=circle,draw=red!78,fill=cyan!26,inner sep=2pt] (1) at (0,0) {};\n\t\t\\end{tikzpicture}\n\n\\end{document}", "\\documentclass[12pt]{article}\n\\usepackage{amssymb,latexsym,amsmath,amsthm}\n\\usepackage{tikz}\n\\usetikzlibrary{shapes,backgrounds,calc}\n\\usepackage[utf8]{inputenc}\n\\usepackage{color}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}\n\t\t\t\\node[shape=circle,draw=green!18,fill=cyan!38,inner sep=2pt] (1) at (0,0) {};\n\t\t\\end{tikzpicture}\n\n\\end{document}", "\\documentclass[12pt]{article}\n\\usepackage{amssymb,latexsym,amsmath,amsthm}\n\\usepackage{tikz}\n\\usetikzlibrary{shapes,backgrounds,calc}\n\\usepackage[utf8]{inputenc}\n\\usepackage{color}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}\n\t\t\t\\node[shape=circle,draw=cyan!55,fill=red!36,inner sep=2pt] (1) at (0,0) {};\n\t\t\\end{tikzpicture}\n\n\\end{document}" ], "sample_images": [ "sample_88_0", "sample_88_1", "sample_88_2" ] }, { "tikz_code": "\\documentclass{article}[11pt]\n\\usepackage{graphicx,tikz,color}\n\\usepackage{amsmath,amsfonts,amssymb,amsthm,latexsym}\n\\usetikzlibrary{matrix,positioning}\n\\usetikzlibrary{arrows,patterns}\n\n\\begin{document}\n\n\\begin{tikzpicture}[scale=0.52,style=thick]\n\\def\\vr{4pt}\n%% vertices defined %%\n%M\n\n\n%X\n\\path (-6,0) coordinate (a');\n\\path (-7.2,2.3) coordinate (b');\n\\path (-2.8,2.3) coordinate (c');\n\\path (-4,0) coordinate (d');\n\\path (-5,4) coordinate (e');\n\\path (-4.5,1.9) coordinate (c'1);\n\n\n\\draw (5.1,1.8) node [text=black]{$u$};\n\\draw (-4.9,1.8) node [text=black]{$u$};\n\n%Y\n\n\\path (6,0) coordinate (a);\n\\path (7.2,2.3) coordinate (b);\n\\path (2.8,2.3) coordinate (c);\n\\path (4,0) coordinate (d);\n\\path (5,4) coordinate (e);\n\\path (5.5,1.9) coordinate (c1);\n\n\n\n\n%% edges %%\n\n\\draw (b)--(a)--(d)--(c)--(e)--(b);\n\\draw (e)--(c1)--(a);\n\n\\draw (b')--(a')--(d')--(c')--(e')--(b');\n\\draw (e')--(c'1)--(d');\n\n\n%% vertices %%\n\n\\draw (a') [fill=black] circle (\\vr);\n\\draw (b') [fill=black] circle (\\vr);\n\\draw (c') [fill=white] circle (\\vr);\n\\draw (d') [fill=black] circle (\\vr);\n\\draw (e') [fill=black] circle (\\vr);\n\\draw (c'1) [fill=white] circle (\\vr);\n\n\\draw (a) [fill=white] circle (\\vr);\n\\draw (b) [fill=black] circle (\\vr);\n\\draw (c) [fill=black] circle (\\vr);\n\\draw (d) [fill=black] circle (\\vr);\n\\draw (e) [fill=black] circle (\\vr);\n\\draw (c1) [fill=white] circle (\\vr);\n\n\n\\end{tikzpicture}\n\n\\end{document}", "original_image": "original_89", "generated_samples": [ "\\documentclass{article}[11pt]\n\\usepackage{graphicx,tikz,color}\n\\usepackage{amsmath,amsfonts,amssymb,amsthm,latexsym}\n\\usetikzlibrary{matrix,positioning}\n\\usetikzlibrary{arrows,patterns}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}[scale=0.52,style=thick]\n\\def\\vr{4pt}\n%% vertices defined %%\n%M\n\n\n%X\n\\path (-6,0) coordinate (a');\n\\path (-7.2,2.3) coordinate (b');\n\\path (-2.72,2.35) coordinate (c');\n\\path (-3.86,0.13) coordinate (d');\n\\path (-5,4) coordinate (e');\n\\path (-4.5,1.9) coordinate (c'1);\n\n\n\\draw (5.1,1.8) node [text=orange]{$u$};\n\\draw (-4.9,1.8) node [text=black]{$u$};\n\n%Y\n\n\\path (6,0) coordinate (a);\n\\path (7.2,2.3) coordinate (b);\n\\path (2.8,2.3) coordinate (c);\n\\path (4,0) coordinate (d);\n\\path (5,4) coordinate (e);\n\\path (5.5,1.9) coordinate (c1);\n\n\n\n\n%% edges %%\n\n\\draw (b)--(a)--(d)--(c)--(e)--(b);\n\\draw (e)--(c1)--(a);\n\n\\draw (b')--(a')--(d')--(c')--(e')--(b');\n\\draw (e')--(c'1)--(d');\n\n\n%% vertices %%\n\n\\draw (a') [fill=yellow!66] circle (\\vr);\n\\draw (b') [fill=red!68] circle (\\vr);\n\\draw (c') [fill=purple!58] circle (\\vr);\n\\draw (d') [fill=red!96] circle (\\vr);\n\\draw (e') [fill=blue!67] circle (\\vr);\n\\draw (c'1) [fill=orange!68] circle (\\vr);\n\n\\draw (a) [fill=cyan!84] circle (\\vr);\n\\draw (b) [fill=green!43] circle (\\vr);\n\\draw (c) [fill=green!81] circle (\\vr);\n\\draw (d) [fill=purple!89] circle (\\vr);\n\\draw (e) [fill=blue!60] circle (\\vr);\n\\draw (c1) [fill=yellow!93] circle (\\vr);\n\n\n\\end{tikzpicture}\n\n\\end{document}", "\\documentclass{article}[11pt]\n\\usepackage{graphicx,tikz,color}\n\\usepackage{amsmath,amsfonts,amssymb,amsthm,latexsym}\n\\usetikzlibrary{matrix,positioning}\n\\usetikzlibrary{arrows,patterns}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}[scale=0.52,style=thin]\n\\def\\vr{4pt}\n%% vertices defined %%\n%M\n\n\n%X\n\\path (-6,0) coordinate (a');\n\\path (-7.2,2.3) coordinate (b');\n\\path (-2.8,2.3) coordinate (c');\n\\path (-4,0) coordinate (d');\n\\path (-5,4) coordinate (e');\n\\path (-4.32,1.98) coordinate (c'1);\n\n\n\\draw (5.1,1.8) node [text=yellow]{$u$};\n\\draw (-4.9,1.8) node [text=yellow]{$u$};\n\n%Y\n\n\\path (6,0) coordinate (a);\n\\path (7.2,2.3) coordinate (b);\n\\path (2.8,2.3) coordinate (c);\n\\path (4,0) coordinate (d);\n\\path (5,4) coordinate (e);\n\\path (5.65,2.03) coordinate (c1);\n\n\n\n\n%% edges %%\n\n\\draw (b)--(a)--(d)--(c)--(e)--(b);\n\\draw (e)--(c1)--(a);\n\n\\draw (b')--(a')--(d')--(c')--(e')--(b');\n\\draw (e')--(c'1)--(d');\n\n\n%% vertices %%\n\n\\draw (a') [fill=purple!68] circle (\\vr);\n\\draw (b') [fill=cyan!91] circle (\\vr);\n\\draw (c') [fill=cyan!88] circle (\\vr);\n\\draw (d') [fill=blue!88] circle (\\vr);\n\\draw (e') [fill=red!0] circle (\\vr);\n\\draw (c'1) [fill=brown!38] circle (\\vr);\n\n\\draw (a) [fill=green!5] circle (\\vr);\n\\draw (b) [fill=blue!54] circle (\\vr);\n\\draw (c) [fill=cyan!67] circle (\\vr);\n\\draw (d) [fill=brown!10] circle (\\vr);\n\\draw (e) [fill=brown!52] circle (\\vr);\n\\draw (c1) [fill=red!51] circle (\\vr);\n\n\n\\end{tikzpicture}\n\n\\end{document}", "\\documentclass{article}[11pt]\n\\usepackage{graphicx,tikz,color}\n\\usepackage{amsmath,amsfonts,amssymb,amsthm,latexsym}\n\\usetikzlibrary{matrix,positioning}\n\\usetikzlibrary{arrows,patterns}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}[scale=0.52,style=thick]\n\\def\\vr{4pt}\n%% vertices defined %%\n%M\n\n\n%X\n\\path (-6,0) coordinate (a');\n\\path (-7.2,2.3) coordinate (b');\n\\path (-2.8,2.3) coordinate (c');\n\\path (-3.79,0.13) coordinate (d');\n\\path (-5,4) coordinate (e');\n\\path (-4.5,1.9) coordinate (c'1);\n\n\n\\draw (5.1,1.8) node [text=red]{$u$};\n\\draw (-4.9,1.8) node [text=orange]{$u$};\n\n%Y\n\n\\path (6,0) coordinate (a);\n\\path (7.2,2.3) coordinate (b);\n\\path (2.8,2.3) coordinate (c);\n\\path (4,0) coordinate (d);\n\\path (5,4) coordinate (e);\n\\path (5.5,1.9) coordinate (c1);\n\n\n\n\n%% edges %%\n\n\\draw (b)--(a)--(d)--(c)--(e)--(b);\n\\draw (e)--(c1)--(a);\n\n\\draw (b')--(a')--(d')--(c')--(e')--(b');\n\\draw (e')--(c'1)--(d');\n\n\n%% vertices %%\n\n\\draw (a') [fill=purple!20] circle (\\vr);\n\\draw (b') [fill=brown!14] circle (\\vr);\n\\draw (c') [fill=black!64] circle (\\vr);\n\\draw (d') [fill=orange!23] circle (\\vr);\n\\draw (e') [fill=yellow!96] circle (\\vr);\n\\draw (c'1) [fill=orange!100] circle (\\vr);\n\n\\draw (a) [fill=cyan!61] circle (\\vr);\n\\draw (b) [fill=brown!50] circle (\\vr);\n\\draw (c) [fill=blue!32] circle (\\vr);\n\\draw (d) [fill=green!27] circle (\\vr);\n\\draw (e) [fill=black!37] circle (\\vr);\n\\draw (c1) [fill=brown!81] circle (\\vr);\n\n\n\\end{tikzpicture}\n\n\\end{document}" ], "sample_images": [ "sample_89_0", "sample_89_1", "sample_89_2" ] }, { "tikz_code": "\\documentclass[11pt]{amsart}\n\\usepackage{amsmath,amssymb}\n\\usepackage{pgf,tikz}\n\\usetikzlibrary{arrows}\n\\usetikzlibrary{positioning}\n\n\\begin{document}\n\n\\begin{tikzpicture}[line cap=round,line join=round,>=triangle 45,x=1cm,y=1cm]\n\\draw [line width=2pt] (4,7)-- (4,3);\n\\draw [line 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line style={opacity=0},\n major tick style={draw=none},\n ytick=data,\n xlabel = \\# GitHub README.mds,\n xmin = 0,\n nodes near coords,\n nodes near coords align={horizontal},\n point meta=rawx\n ]\n \\addplot[xbar,fill=gray,draw=none] coordinates {\n (6,different paper)\n (8,changes to metadata)\n (14,link changes)\n (311,no update)\n };\n \\end{axis}\n \\end{tikzpicture}\n\n\\end{document}", "original_image": "original_95", "generated_samples": [ "\\documentclass[conference]{IEEEtran}\n\\usepackage{tikz,pgfplots}\n\\usepackage{tcolorbox}\n\\usepackage{amsmath,amssymb,amsfonts}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}%\n \\begin{axis}[\n align=center,\n y=0.5cm,\n x=0.02cm,\n enlarge y limits={abs=0.25cm},\n symbolic y coords={no update, different paper, changes to metadata, link changes},\n axis line style={opacity=0},\n major tick style={draw=black!80},\n ytick=data,\n xlabel = \\# GitHub README.mds,\n xmin = 0,\n nodes near coords,\n nodes near coords align={horizontal},\n point meta=rawx\n ]\n \\addplot[xbar,fill=black!83,draw=green!11] coordinates {\n (6,different paper)\n (8,changes to metadata)\n (14,link changes)\n (311,no update)\n };\n \\end{axis}\n \\end{tikzpicture}\n\n\\end{document}", "\\documentclass[conference]{IEEEtran}\n\\usepackage{tikz,pgfplots}\n\\usepackage{tcolorbox}\n\\usepackage{amsmath,amssymb,amsfonts}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}%\n \\begin{axis}[\n align=center,\n y=0.5cm,\n x=0.02cm,\n enlarge y limits={abs=0.25cm},\n symbolic y coords={no update, different paper, changes to metadata, link changes},\n axis line style={opacity=0},\n major tick style={draw=purple!56},\n ytick=data,\n xlabel = \\# GitHub README.mds,\n xmin = 0,\n nodes near coords,\n nodes near coords align={horizontal},\n point meta=rawx\n ]\n \\addplot[xbar,fill=red!98,draw=purple!51] coordinates {\n (6,different paper)\n (8,changes to metadata)\n (14,link changes)\n (311,no update)\n };\n \\end{axis}\n \\end{tikzpicture}\n\n\\end{document}", "\\documentclass[conference]{IEEEtran}\n\\usepackage{tikz,pgfplots}\n\\usepackage{tcolorbox}\n\\usepackage{amsmath,amssymb,amsfonts}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}%\n \\begin{axis}[\n align=center,\n y=0.5cm,\n x=0.02cm,\n enlarge y limits={abs=0.25cm},\n symbolic y coords={no update, different paper, changes to metadata, link changes},\n axis line style={opacity=0},\n major tick style={draw=cyan!70},\n ytick=data,\n xlabel = \\# GitHub README.mds,\n xmin = 0,\n nodes near coords,\n nodes near coords align={horizontal},\n point meta=rawx\n ]\n \\addplot[xbar,fill=black!1,draw=black!84] coordinates {\n (6,different paper)\n (8,changes to metadata)\n (14,link changes)\n (311,no update)\n };\n \\end{axis}\n \\end{tikzpicture}\n\n\\end{document}" ], "sample_images": [ "sample_95_0", "sample_95_1", "sample_95_2" ] }, { "tikz_code": "\\documentclass[conference]{IEEEtran}\n\\usepackage{tikz,pgfplots}\n\\usepackage{tcolorbox}\n\\usepackage{amsmath,amssymb,amsfonts}\n\n\\begin{document}\n\n\\begin{tikzpicture}%\n \\begin{axis}[\n align=center,\n y=0.5cm,\n x=0.05cm,\n enlarge y limits={abs=0.25cm},\n symbolic y coords={other, sensors, quantum, networks, robotics, natural language processing, other machine learning, computer vision, deep learning},\n axis line style={opacity=0},\n major tick style={draw=none},\n ytick=data,\n xmin = 0,\n xlabel = \\# GitHub repositories,\n nodes near coords,\n nodes near coords align={horizontal},\n point meta=rawx\n ]\n \\addplot[xbar,fill=gray,draw=none] coordinates {\n (92,deep learning)\n (83,other)\n (72,computer vision)\n (40,other machine learning)\n (29,natural language processing)\n (8,robotics)\n (7,networks)\n (6,quantum)\n (2,sensors)\n };\n \\end{axis}\n \\end{tikzpicture}\n\n\\end{document}", "original_image": "original_96", "generated_samples": [ "\\documentclass[conference]{IEEEtran}\n\\usepackage{tikz,pgfplots}\n\\usepackage{tcolorbox}\n\\usepackage{amsmath,amssymb,amsfonts}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}%\n \\begin{axis}[\n align=center,\n y=0.5cm,\n x=0.05cm,\n enlarge y limits={abs=0.25cm},\n symbolic y coords={other, sensors, quantum, networks, robotics, natural language processing, other machine learning, computer vision, deep learning},\n axis line style={opacity=0},\n major tick style={draw=brown!72},\n ytick=data,\n xmin = 0,\n xlabel = \\# GitHub repositories,\n nodes near coords,\n nodes near coords align={horizontal},\n point meta=rawx\n ]\n \\addplot[xbar,fill=green!92,draw=black!18] coordinates {\n (92,deep learning)\n (83,other)\n (72,computer vision)\n (40,other machine learning)\n (29,natural language processing)\n (8,robotics)\n (7,networks)\n (6,quantum)\n (2,sensors)\n };\n \\end{axis}\n \\end{tikzpicture}\n\n\\end{document}", "\\documentclass[conference]{IEEEtran}\n\\usepackage{tikz,pgfplots}\n\\usepackage{tcolorbox}\n\\usepackage{amsmath,amssymb,amsfonts}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}%\n \\begin{axis}[\n align=center,\n y=0.5cm,\n x=0.05cm,\n enlarge y limits={abs=0.25cm},\n symbolic y coords={other, sensors, quantum, networks, robotics, natural language processing, other machine learning, computer vision, deep learning},\n axis line style={opacity=0},\n major tick style={draw=cyan!34},\n ytick=data,\n xmin = 0,\n xlabel = \\# GitHub repositories,\n nodes near coords,\n nodes near coords align={horizontal},\n point meta=rawx\n ]\n \\addplot[xbar,fill=orange!10,draw=orange!99] coordinates {\n (92,deep learning)\n (83,other)\n (72,computer vision)\n (40,other machine learning)\n (29,natural language processing)\n (8,robotics)\n (7,networks)\n (6,quantum)\n (2,sensors)\n };\n \\end{axis}\n \\end{tikzpicture}\n\n\\end{document}", "\\documentclass[conference]{IEEEtran}\n\\usepackage{tikz,pgfplots}\n\\usepackage{tcolorbox}\n\\usepackage{amsmath,amssymb,amsfonts}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}%\n \\begin{axis}[\n align=center,\n y=0.5cm,\n x=0.05cm,\n enlarge y limits={abs=0.25cm},\n symbolic y coords={other, sensors, quantum, networks, robotics, natural language processing, other machine learning, computer vision, deep learning},\n axis line style={opacity=0},\n major tick style={draw=yellow!4},\n ytick=data,\n xmin = 0,\n xlabel = \\# GitHub repositories,\n nodes near coords,\n nodes near coords align={horizontal},\n point meta=rawx\n ]\n \\addplot[xbar,fill=orange!82,draw=green!79] coordinates {\n (92,deep learning)\n (83,other)\n (72,computer vision)\n (40,other machine learning)\n (29,natural language processing)\n (8,robotics)\n (7,networks)\n (6,quantum)\n (2,sensors)\n };\n \\end{axis}\n \\end{tikzpicture}\n\n\\end{document}" ], "sample_images": [ "sample_96_0", "sample_96_1", "sample_96_2" ] }, { "tikz_code": "\\documentclass[conference]{IEEEtran}\n\\usepackage{tikz,pgfplots}\n\\usepackage{tcolorbox}\n\\usepackage{amsmath,amssymb,amsfonts}\n\n\\begin{document}\n\n\\begin{tikzpicture}%\n \\begin{axis}[\n align=center,\n y=0.5cm,\n x=0.025cm,\n enlarge y limits={abs=0.25cm},\n symbolic y coords={no link,404,link to the same repository,link to official},\n axis line style={opacity=0},\n major tick style={draw=none},\n ytick=data,\n xlabel = \\# referenced academic papers,\n xmin = 0,\n nodes near coords,\n nodes near coords align={horizontal},\n point meta=rawx\n ]\n \\addplot[xbar,fill=gray,draw=none] coordinates {\n (98,link to official)\n (64,link to the same repository)\n (3,404)\n (174,no link)\n };\n \\end{axis}\n \\end{tikzpicture}\n\n\\end{document}", "original_image": "original_97", "generated_samples": [ "\\documentclass[conference]{IEEEtran}\n\\usepackage{tikz,pgfplots}\n\\usepackage{tcolorbox}\n\\usepackage{amsmath,amssymb,amsfonts}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}%\n \\begin{axis}[\n align=center,\n y=0.5cm,\n x=0.025cm,\n enlarge y limits={abs=0.25cm},\n symbolic y coords={no link,404,link to the same repository,link to official},\n axis line style={opacity=0},\n major tick style={draw=green!21},\n ytick=data,\n xlabel = \\# referenced academic papers,\n xmin = 0,\n nodes near coords,\n nodes near coords align={horizontal},\n point meta=rawx\n ]\n \\addplot[xbar,fill=cyan!79,draw=brown!26] coordinates {\n (98,link to official)\n (64,link to the same repository)\n (3,404)\n (174,no link)\n };\n \\end{axis}\n \\end{tikzpicture}\n\n\\end{document}", "\\documentclass[conference]{IEEEtran}\n\\usepackage{tikz,pgfplots}\n\\usepackage{tcolorbox}\n\\usepackage{amsmath,amssymb,amsfonts}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}%\n \\begin{axis}[\n align=center,\n y=0.5cm,\n x=0.025cm,\n enlarge y limits={abs=0.25cm},\n symbolic y coords={no link,404,link to the same repository,link to official},\n axis line style={opacity=0},\n major tick style={draw=yellow!56},\n ytick=data,\n xlabel = \\# referenced academic papers,\n xmin = 0,\n nodes near coords,\n nodes near coords align={horizontal},\n point meta=rawx\n ]\n \\addplot[xbar,fill=black!23,draw=black!59] coordinates {\n (98,link to official)\n (64,link to the same repository)\n (3,404)\n (174,no link)\n };\n \\end{axis}\n \\end{tikzpicture}\n\n\\end{document}", "\\documentclass[conference]{IEEEtran}\n\\usepackage{tikz,pgfplots}\n\\usepackage{tcolorbox}\n\\usepackage{amsmath,amssymb,amsfonts}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}%\n \\begin{axis}[\n align=center,\n y=0.5cm,\n x=0.025cm,\n enlarge y limits={abs=0.25cm},\n symbolic y coords={no link,404,link to the same repository,link to official},\n axis line style={opacity=0},\n major tick style={draw=orange!74},\n ytick=data,\n xlabel = \\# referenced academic papers,\n xmin = 0,\n nodes near coords,\n nodes near coords align={horizontal},\n point meta=rawx\n ]\n \\addplot[xbar,fill=purple!30,draw=red!2] coordinates {\n (98,link to official)\n (64,link to the same repository)\n (3,404)\n (174,no link)\n };\n \\end{axis}\n \\end{tikzpicture}\n\n\\end{document}" ], "sample_images": [ "sample_97_0", "sample_97_1", "sample_97_2" ] }, { "tikz_code": "\\documentclass[conference]{IEEEtran}\n\\usepackage{tikz,pgfplots}\n\\usepackage{tcolorbox}\n\\usepackage{amsmath,amssymb,amsfonts}\n\n\\begin{document}\n\n\\begin{tikzpicture}%\n\\begin{axis}[\n align=center,\n y=0.5cm,\n x=0.045cm,\n enlarge y limits={abs=0.25cm},\n symbolic y coords={no transfer,paper not available,documentation,scientific finding $\\rightarrow$ hardcoded rule,numbers $\\rightarrow$ hardcoded values,description $\\rightarrow$ source code,pseudocode $\\rightarrow$ source code, formulas $\\rightarrow$ source code},\n axis line style={opacity=0},\n major tick style={draw=none},\n ytick=data,\n xmin = 0,\n xlabel = \\# source files,\n nodes near coords,\n nodes near coords align={horizontal},\n point meta=rawx\n]\n\\addplot[xbar,fill=gray,draw=none] coordinates {\n (89,formulas $\\rightarrow$ source code)\n (57,pseudocode $\\rightarrow$ source code)\n (12,description $\\rightarrow$ source code)\n (12,numbers $\\rightarrow$ hardcoded values)\n (2,scientific finding $\\rightarrow$ hardcoded rule)\n (1,documentation)\n (39,paper not available)\n (84,no transfer)\n};\n\\end{axis}\n\\end{tikzpicture}\n\n\\end{document}", "original_image": "original_98", "generated_samples": [ "\\documentclass[conference]{IEEEtran}\n\\usepackage{tikz,pgfplots}\n\\usepackage{tcolorbox}\n\\usepackage{amsmath,amssymb,amsfonts}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}%\n\\begin{axis}[\n align=center,\n y=0.5cm,\n x=0.045cm,\n enlarge y limits={abs=0.25cm},\n symbolic y coords={no transfer,paper not available,documentation,scientific finding $\\rightarrow$ hardcoded rule,numbers $\\rightarrow$ hardcoded values,description $\\rightarrow$ source code,pseudocode $\\rightarrow$ source code, formulas $\\rightarrow$ source code},\n axis line style={opacity=0},\n major tick style={draw=yellow!2},\n ytick=data,\n xmin = 0,\n xlabel = \\# source files,\n nodes near coords,\n nodes near coords align={horizontal},\n point meta=rawx\n]\n\\addplot[xbar,fill=blue!10,draw=black!39] coordinates {\n (89,formulas $\\rightarrow$ source code)\n (57,pseudocode $\\rightarrow$ source code)\n (12,description $\\rightarrow$ source code)\n (12,numbers $\\rightarrow$ hardcoded values)\n (2,scientific finding $\\rightarrow$ hardcoded rule)\n (1,documentation)\n (39,paper not available)\n (84,no transfer)\n};\n\\end{axis}\n\\end{tikzpicture}\n\n\\end{document}", "\\documentclass[conference]{IEEEtran}\n\\usepackage{tikz,pgfplots}\n\\usepackage{tcolorbox}\n\\usepackage{amsmath,amssymb,amsfonts}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}%\n\\begin{axis}[\n align=center,\n y=0.5cm,\n x=0.045cm,\n enlarge y limits={abs=0.25cm},\n symbolic y coords={no transfer,paper not available,documentation,scientific finding $\\rightarrow$ hardcoded rule,numbers $\\rightarrow$ hardcoded values,description $\\rightarrow$ source code,pseudocode $\\rightarrow$ source code, formulas $\\rightarrow$ source code},\n axis line style={opacity=0},\n major tick style={draw=yellow!97},\n ytick=data,\n xmin = 0,\n xlabel = \\# source files,\n nodes near coords,\n nodes near coords align={horizontal},\n point meta=rawx\n]\n\\addplot[xbar,fill=orange!81,draw=purple!36] coordinates {\n (89,formulas $\\rightarrow$ source code)\n (57,pseudocode $\\rightarrow$ source code)\n (12,description $\\rightarrow$ source code)\n (12,numbers $\\rightarrow$ hardcoded values)\n (2,scientific finding $\\rightarrow$ hardcoded rule)\n (1,documentation)\n (39,paper not available)\n (84,no transfer)\n};\n\\end{axis}\n\\end{tikzpicture}\n\n\\end{document}", "\\documentclass[conference]{IEEEtran}\n\\usepackage{tikz,pgfplots}\n\\usepackage{tcolorbox}\n\\usepackage{amsmath,amssymb,amsfonts}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}%\n\\begin{axis}[\n align=center,\n y=0.5cm,\n x=0.045cm,\n enlarge y limits={abs=0.25cm},\n symbolic y coords={no transfer,paper not available,documentation,scientific finding $\\rightarrow$ hardcoded rule,numbers $\\rightarrow$ hardcoded values,description $\\rightarrow$ source code,pseudocode $\\rightarrow$ source code, formulas $\\rightarrow$ source code},\n axis line style={opacity=0},\n major tick style={draw=orange!47},\n ytick=data,\n xmin = 0,\n xlabel = \\# source files,\n nodes near coords,\n nodes near coords align={horizontal},\n point meta=rawx\n]\n\\addplot[xbar,fill=orange!69,draw=cyan!43] coordinates {\n (89,formulas $\\rightarrow$ source code)\n (57,pseudocode $\\rightarrow$ source code)\n (12,description $\\rightarrow$ source code)\n (12,numbers $\\rightarrow$ hardcoded values)\n (2,scientific finding $\\rightarrow$ hardcoded rule)\n (1,documentation)\n (39,paper not available)\n (84,no transfer)\n};\n\\end{axis}\n\\end{tikzpicture}\n\n\\end{document}" ], "sample_images": [ "sample_98_0", "sample_98_1", "sample_98_2" ] }, { "tikz_code": "\\documentclass[conference]{IEEEtran}\n\\usepackage{amsmath,amssymb,amsfonts}\n\\usepackage{xcolor}\n\\usepackage{pgfplots}\n\\usepackage{pgfplotstable}\n\\usetikzlibrary{pgfplots.statistics}\n\\pgfplotsset{width=7cm,compat=1.3}\n\\usetikzlibrary{patterns}\n\n\\begin{document}\n\n\\begin{tikzpicture}\n \\begin{axis}[\n boxplot/draw direction=y,\n xticklabel style = {rotate = 10},\n width=7cm, height=5cm,\n ylabel = Megabyte,\n xtick ={1, 2, 3},\n xticklabel style = {font=\\small},\n xticklabels = {Live Stream, VoD, Website},\n ]\n \\addplot[black, boxplot prepared={ \n lower whisker=0.00000001, lower quartile=0.03936665, \n median=0.075, upper quartile=0.12234965,\n upper whisker=0.2468137}]\n coordinates {};\n \\addplot[black, boxplot prepared={ \n lower whisker=0.00000001, lower quartile=0.0866492, \n median=0.2026076, upper quartile=0.3279754,\n upper whisker=0.6894712}]\n coordinates {};\n \\addplot[black, boxplot prepared={ \n lower whisker=0.00000001, lower quartile=0.00713175, \n median=0.0578163 , upper quartile=0.49207115,\n upper whisker=1.2192666}]\n coordinates {};\n \\end{axis}\n \\end{tikzpicture}\n\n\\end{document}", "original_image": "original_99", "generated_samples": [ "\\documentclass[conference]{IEEEtran}\n\\usepackage{amsmath,amssymb,amsfonts}\n\\usepackage{xcolor}\n\\usepackage{pgfplots}\n\\usepackage{pgfplotstable}\n\\usetikzlibrary{pgfplots.statistics}\n\\pgfplotsset{width=7cm,compat=1.3}\n\\usetikzlibrary{patterns}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}\n \\begin{axis}[\n boxplot/draw direction=y,\n xticklabel style = {rotate = 10},\n width=7cm, height=5cm,\n ylabel = Megabyte,\n xtick ={1, 2, 3},\n xticklabel style = {font=\\small},\n xticklabels = {Live Stream, VoD, Website},\n ]\n \\addplot[green, boxplot prepared={ \n lower whisker=0.00000001, lower quartile=0.03936665, \n median=0.075, upper quartile=0.12234965,\n upper whisker=0.2468137}]\n coordinates {};\n \\addplot[black, boxplot prepared={ \n lower whisker=0.00000001, lower quartile=0.0866492, \n median=0.2026076, upper quartile=0.3279754,\n upper whisker=0.6894712}]\n coordinates {};\n \\addplot[brown, boxplot prepared={ \n lower whisker=0.00000001, lower quartile=0.00713175, \n median=0.0578163 , upper quartile=0.49207115,\n upper whisker=1.2192666}]\n coordinates {};\n \\end{axis}\n \\end{tikzpicture}\n\n\\end{document}", "\\documentclass[conference]{IEEEtran}\n\\usepackage{amsmath,amssymb,amsfonts}\n\\usepackage{xcolor}\n\\usepackage{pgfplots}\n\\usepackage{pgfplotstable}\n\\usetikzlibrary{pgfplots.statistics}\n\\pgfplotsset{width=7cm,compat=1.3}\n\\usetikzlibrary{patterns}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}\n \\begin{axis}[\n boxplot/draw direction=y,\n xticklabel style = {rotate = 10},\n width=7cm, height=5cm,\n ylabel = Megabyte,\n xtick ={1, 2, 3},\n xticklabel style = {font=\\small},\n xticklabels = {Live Stream, VoD, Website},\n ]\n \\addplot[green, boxplot prepared={ \n lower whisker=0.00000001, lower quartile=0.03936665, \n median=0.075, upper quartile=0.12234965,\n upper whisker=0.2468137}]\n coordinates {};\n \\addplot[purple, boxplot prepared={ \n lower whisker=0.00000001, lower quartile=0.0866492, \n median=0.2026076, upper quartile=0.3279754,\n upper whisker=0.6894712}]\n coordinates {};\n \\addplot[black, boxplot prepared={ \n lower whisker=0.00000001, lower quartile=0.00713175, \n median=0.0578163 , upper quartile=0.49207115,\n upper whisker=1.2192666}]\n coordinates {};\n \\end{axis}\n \\end{tikzpicture}\n\n\\end{document}", "\\documentclass[conference]{IEEEtran}\n\\usepackage{amsmath,amssymb,amsfonts}\n\\usepackage{xcolor}\n\\usepackage{pgfplots}\n\\usepackage{pgfplotstable}\n\\usetikzlibrary{pgfplots.statistics}\n\\pgfplotsset{width=7cm,compat=1.3}\n\\usetikzlibrary{patterns}\n\n\\begin{document}\n\n\\usetikzlibrary {shapes.geometric}\n\\begin{tikzpicture}\n \\begin{axis}[\n boxplot/draw direction=y,\n xticklabel style = {rotate = 10},\n width=7cm, height=5cm,\n ylabel = Megabyte,\n xtick ={1, 2, 3},\n xticklabel style = {font=\\small},\n xticklabels = {Live Stream, VoD, Website},\n ]\n \\addplot[cyan, boxplot prepared={ \n lower whisker=0.00000001, lower quartile=0.03936665, \n median=0.075, upper quartile=0.12234965,\n upper whisker=0.2468137}]\n coordinates {};\n \\addplot[brown, boxplot prepared={ \n lower whisker=0.00000001, lower quartile=0.0866492, \n median=0.2026076, upper quartile=0.3279754,\n upper whisker=0.6894712}]\n coordinates {};\n \\addplot[black, boxplot prepared={ \n lower whisker=0.00000001, lower quartile=0.00713175, \n median=0.0578163 , upper quartile=0.49207115,\n upper whisker=1.2192666}]\n coordinates {};\n \\end{axis}\n \\end{tikzpicture}\n\n\\end{document}" ], "sample_images": [ "sample_99_0", "sample_99_1", "sample_99_2" ] } ]