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| from manim import * |
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| class OpeningManim(Scene): |
| def construct(self): |
| title = Tex(r"This is some \LaTeX") |
| basel = MathTex(r"\sum_{n=1}^\infty \frac{1}{n^2} = \frac{\pi^2}{6}") |
| VGroup(title, basel).arrange(DOWN) |
| self.play( |
| Write(title), |
| FadeIn(basel, shift=DOWN), |
| ) |
| self.wait() |
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|
| transform_title = Tex("That was a transform") |
| transform_title.to_corner(UP + LEFT) |
| self.play( |
| Transform(title, transform_title), |
| LaggedStart(*(FadeOut(obj, shift=DOWN) for obj in basel)), |
| ) |
| self.wait() |
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|
| grid = NumberPlane() |
| grid_title = Tex("This is a grid", font_size=72) |
| grid_title.move_to(transform_title) |
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| self.add(grid, grid_title) |
| self.play( |
| FadeOut(title), |
| FadeIn(grid_title, shift=UP), |
| Create(grid, run_time=3, lag_ratio=0.1), |
| ) |
| self.wait() |
|
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| grid_transform_title = Tex( |
| r"That was a non-linear function \\ applied to the grid", |
| ) |
| grid_transform_title.move_to(grid_title, UL) |
| grid.prepare_for_nonlinear_transform() |
| self.play( |
| grid.animate.apply_function( |
| lambda p: p |
| + np.array( |
| [ |
| np.sin(p[1]), |
| np.sin(p[0]), |
| 0, |
| ], |
| ), |
| ), |
| run_time=3, |
| ) |
| self.wait() |
| self.play(Transform(grid_title, grid_transform_title)) |
| self.wait() |
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|
| class SquareToCircle(Scene): |
| def construct(self): |
| circle = Circle() |
| square = Square() |
| square.flip(RIGHT) |
| square.rotate(-3 * TAU / 8) |
| circle.set_fill(PINK, opacity=0.5) |
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| self.play(Create(square)) |
| self.play(Transform(square, circle)) |
| self.play(FadeOut(square)) |
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|
| class WarpSquare(Scene): |
| def construct(self): |
| square = Square() |
| self.play( |
| ApplyPointwiseFunction( |
| lambda point: complex_to_R3(np.exp(R3_to_complex(point))), |
| square, |
| ), |
| ) |
| self.wait() |
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|
|
| class WriteStuff(Scene): |
| def construct(self): |
| example_text = Tex("This is a some text", tex_to_color_map={"text": YELLOW}) |
| example_tex = MathTex( |
| "\\sum_{k=1}^\\infty {1 \\over k^2} = {\\pi^2 \\over 6}", |
| ) |
| group = VGroup(example_text, example_tex) |
| group.arrange(DOWN) |
| group.width = config["frame_width"] - 2 * LARGE_BUFF |
|
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| self.play(Write(example_text)) |
| self.play(Write(example_tex)) |
| self.wait() |
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|
| class UpdatersExample(Scene): |
| def construct(self): |
| decimal = DecimalNumber( |
| 0, |
| show_ellipsis=True, |
| num_decimal_places=3, |
| include_sign=True, |
| ) |
| square = Square().to_edge(UP) |
|
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| decimal.add_updater(lambda d: d.next_to(square, RIGHT)) |
| decimal.add_updater(lambda d: d.set_value(square.get_center()[1])) |
| self.add(square, decimal) |
| self.play( |
| square.animate.to_edge(DOWN), |
| rate_func=there_and_back, |
| run_time=5, |
| ) |
| self.wait() |
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|
| class SpiralInExample(Scene): |
| def construct(self): |
| logo_green = "#81b29a" |
| logo_blue = "#454866" |
| logo_red = "#e07a5f" |
|
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| font_color = "#ece6e2" |
|
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| pi = MathTex(r"\pi").scale(7).set_color(font_color) |
| pi.shift(2.25 * LEFT + 1.5 * UP) |
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| circle = Circle(color=logo_green, fill_opacity=0.7, stroke_width=0).shift(LEFT) |
| square = Square(color=logo_blue, fill_opacity=0.8, stroke_width=0).shift(UP) |
| triangle = Triangle(color=logo_red, fill_opacity=0.9, stroke_width=0).shift( |
| RIGHT |
| ) |
| pentagon = Polygon( |
| *[ |
| [np.cos(2 * np.pi / 5 * i), np.sin(2 * np.pi / 5 * i), 0] |
| for i in range(5) |
| ], |
| color=PURPLE_B, |
| fill_opacity=1, |
| stroke_width=0, |
| ).shift(UP + 2 * RIGHT) |
| shapes = VGroup(triangle, square, circle, pentagon, pi) |
| self.play(SpiralIn(shapes, fade_in_fraction=0.9)) |
| self.wait() |
| self.play(FadeOut(shapes)) |
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| Triangle.set_default(stroke_width=20) |
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|
| class LineJoints(Scene): |
| def construct(self): |
| t1 = Triangle() |
| t2 = Triangle(joint_type=LineJointType.ROUND) |
| t3 = Triangle(joint_type=LineJointType.BEVEL) |
|
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| grp = VGroup(t1, t2, t3).arrange(RIGHT) |
| grp.set(width=config.frame_width - 1) |
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| self.add(grp) |
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