Datasets:
id int64 1 1.29k | group_1 images listlengths 1 15 | group_2 images listlengths 1 12 | description stringlengths 14 312 | author stringclasses 34
values | concepts listlengths 0 16 | keywords listlengths 0 17 | extra images listlengths 0 4 | reference stringclasses 65
values | crossreferences stringclasses 100
values | oebp_url stringlengths 20 23 | comments stringlengths 0 2.34k | example stringclasses 16
values | date stringdate 1967-01-01 00:00:00 2026-01-14 00:56:41 | image_urls listlengths 2 24 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1 | Empty image vs. non-empty image. | Mikhail M. Bongard | [
"0",
"empty",
"existence",
"nothing",
"zero"
] | [
"allsorted",
"bongard",
"deformstable",
"easy",
"finished",
"left-finite",
"left-full",
"left-narrow",
"left-null",
"nice",
"perfect",
"pixelperfect",
"precise",
"stableworld",
"traditional",
"unstable",
"world"
] | M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 214. | https://oebp.org/BP1 | The first Bongard Problem.
All examples in this Bongard Problem are line drawings (one or more connected figures made up of curved and non-curved lines). | A circle fits on the right because it is not nothing. | 1967-01-01 00:00:00 | [
"https://oebp.org/examples/1.png",
"https://oebp.org/examples/2.png",
"https://oebp.org/examples/3.png",
"https://oebp.org/examples/4.png",
"https://oebp.org/examples/5.png",
"https://oebp.org/examples/6.png",
"https://oebp.org/examples/7.png"
] | ||||
2 | Big vs. small. | Mikhail M. Bongard | [
"big",
"large",
"size",
"small"
] | [
"bongard",
"continuous",
"easy",
"finished",
"fuzzy",
"nice",
"size",
"spectrum",
"stable",
"traditional"
] | M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 214. | https://oebp.org/BP2 | The meaning of "big" left intentionally vague. There are various specific ways to define size, such as diameter, minimum distance between points on edge, and size of smallest bounding circle.
All examples in this Bongard Problem are single simple shapes, either outlines or solid black.
All examples on the same side a... | 1967-01-01 00:00:00 | [
"https://oebp.org/examples/10.png",
"https://oebp.org/examples/11.png",
"https://oebp.org/examples/12.png",
"https://oebp.org/examples/13.png",
"https://oebp.org/examples/8.png",
"https://oebp.org/examples/9.png",
"https://oebp.org/examples/14.png",
"https://oebp.org/examples/15.png",
"https://oebp.... | |||||
3 | Hollow outline vs. filled in solid. | Mikhail M. Bongard | [
"color",
"filled",
"outlined_filled",
"texture"
] | [
"allsorted",
"bongard",
"easy",
"finished",
"gap",
"nice",
"precise",
"preciseworld",
"traditional",
"world"
] | M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 214. | https://oebp.org/BP3 | All examples in this Bongard Problem are single simple shapes. | 1967-01-01 00:00:00 | [
"https://oebp.org/examples/20.png",
"https://oebp.org/examples/21.png",
"https://oebp.org/examples/22.png",
"https://oebp.org/examples/23.png",
"https://oebp.org/examples/24.png",
"https://oebp.org/examples/25.png",
"https://oebp.org/examples/26.png",
"https://oebp.org/examples/27.png",
"https://oeb... | |||||
4 | Convex vs. concave. | Mikhail M. Bongard | [
"concave_convex_angle"
] | [
"bongard",
"easy",
"finished",
"nice",
"precise",
"right-narrow",
"traditional",
"unstable"
] | M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 215. | BP136 is the same solution (flipped) but with only polygonal outlines and also with extraneous dots distracting from the solution. | https://oebp.org/BP4 | All examples in this Problem are outlines of shapes or solid black shapes. | 1967-01-01 00:00:00 | [
"https://oebp.org/examples/32.png",
"https://oebp.org/examples/33.png",
"https://oebp.org/examples/34.png",
"https://oebp.org/examples/35.png",
"https://oebp.org/examples/36.png",
"https://oebp.org/examples/37.png",
"https://oebp.org/examples/38.png",
"https://oebp.org/examples/39.png",
"https://oeb... | ||||
5 | Is polygon vs. is smooth without straight lines or corners. | Mikhail M. Bongard | [
"curved_straight"
] | [
"bongard",
"easy",
"finished",
"ignoreimperfections",
"nice",
"traditional"
] | M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 215. | https://oebp.org/BP5 | All examples in this Bongard Problem are outlines of shapes. | 1967-01-01 00:00:00 | [
"https://oebp.org/examples/44.png",
"https://oebp.org/examples/45.png",
"https://oebp.org/examples/46.png",
"https://oebp.org/examples/47.png",
"https://oebp.org/examples/48.png",
"https://oebp.org/examples/49.png",
"https://oebp.org/examples/50.png",
"https://oebp.org/examples/51.png",
"https://oeb... | |||||
6 | Triangle vs. quadrilateral. | Mikhail M. Bongard | [
"3",
"4",
"four",
"number",
"three",
"triangle"
] | [
"bongard",
"easy",
"finished",
"ignoreimperfections",
"nice",
"number",
"precise",
"preciseworld",
"traditional"
] | M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 215. | BP1211 is "triangle vs. anything else". | https://oebp.org/BP6 | All examples in this Problem are outlines of polygons or solid black polygons. | 1967-01-01 00:00:00 | [
"https://oebp.org/examples/56.png",
"https://oebp.org/examples/57.png",
"https://oebp.org/examples/58.png",
"https://oebp.org/examples/59.png",
"https://oebp.org/examples/60.png",
"https://oebp.org/examples/61.png",
"https://oebp.org/examples/62.png",
"https://oebp.org/examples/63.png",
"https://oeb... | ||||
7 | Taller than wide vs. wider than tall. | Mikhail M. Bongard | [
"fewer",
"greater",
"greater than",
"horizontal",
"less",
"less than",
"lesser",
"line_slope",
"more",
"quantity_comparison",
"vertical"
] | [
"bongard",
"dual",
"easy",
"finished",
"handed",
"nice",
"rotate",
"stretch",
"traditional"
] | M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 216. | https://oebp.org/BP7 | All examples in this Bongard Problem are oblong connected figures made up of some curves.
Shapes as tall as they are wide would be ambiguous. | 1967-01-01 00:00:00 | [
"https://oebp.org/examples/68.png",
"https://oebp.org/examples/69.png",
"https://oebp.org/examples/70.png",
"https://oebp.org/examples/71.png",
"https://oebp.org/examples/72.png",
"https://oebp.org/examples/73.png",
"https://oebp.org/examples/74.png",
"https://oebp.org/examples/75.png",
"https://oeb... | |||||
8 | Positioned right vs. positioned left. | Mikhail M. Bongard | [
"absolute_position",
"bounding_box",
"coordinate",
"left_right"
] | [
"absoluteposition",
"bongard",
"boundingbox",
"dual",
"easy",
"finished",
"handed",
"leftright",
"nice",
"traditional"
] | M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 216. | https://oebp.org/BP8 | Center of shape's x coordinate is higher than zero (where zero is the middle of the picture).
All examples in this Bongard Problem are small shape outlines.
This is the first Bongard Problem in which absolute positioning is relevant.
Shapes close to the middle would be ambiguous. | 1967-01-01 00:00:00 | [
"https://oebp.org/examples/80.png",
"https://oebp.org/examples/81.png",
"https://oebp.org/examples/82.png",
"https://oebp.org/examples/83.png",
"https://oebp.org/examples/84.png",
"https://oebp.org/examples/85.png",
"https://oebp.org/examples/86.png",
"https://oebp.org/examples/87.png",
"https://oeb... | |||||
9 | Non-wiggly outline vs. wiggly outline. | Mikhail M. Bongard | [
"curve_texture",
"texture"
] | [
"bongard",
"easy",
"finished",
"fuzzy",
"nice",
"stable",
"traditional",
"world"
] | M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 216. | https://oebp.org/BP9 | "Wiggly" means a high number of small concavities adjacent to one another all around the outline.
All examples in this Bongard Problem are shape outlines.
Shapes with outlines that are only wiggly within partial sections would be ambiguous. Shapes with outlines that have many medium-size concavities would be ambiguou... | 1967-01-01 00:00:00 | [
"https://oebp.org/examples/92.png",
"https://oebp.org/examples/93.png",
"https://oebp.org/examples/94.png",
"https://oebp.org/examples/95.png",
"https://oebp.org/examples/96.png",
"https://oebp.org/examples/97.png",
"https://oebp.org/examples/100.png",
"https://oebp.org/examples/101.png",
"https://o... | |||||
10 | Approximately triangular outline vs. approximately convex quadrilateral outline. | Mikhail M. Bongard | [
"3",
"4",
"four",
"number",
"three"
] | [
"bongard",
"easy",
"finished",
"fuzzy",
"noisy",
"number",
"traditional"
] | M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 217. | https://oebp.org/BP10 | All examples in this Bongard Problem are shape outlines. | 1967-01-01 00:00:00 | [
"https://oebp.org/examples/104.png",
"https://oebp.org/examples/105.png",
"https://oebp.org/examples/106.png",
"https://oebp.org/examples/107.png",
"https://oebp.org/examples/108.png",
"https://oebp.org/examples/109.png",
"https://oebp.org/examples/110.png",
"https://oebp.org/examples/111.png",
"htt... | |||||
11 | Thin and elongated vs. compact. | Mikhail M. Bongard | [
"elongated_compact"
] | [
"bongard",
"finished",
"fuzzy",
"nice",
"spectrum",
"stable",
"stretch",
"traditional",
"world"
] | M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 217. | https://oebp.org/BP11 | All examples in this Bongard Problem are shape outlines. | 1967-01-01 00:00:00 | [
"https://oebp.org/examples/116.png",
"https://oebp.org/examples/117.png",
"https://oebp.org/examples/118.png",
"https://oebp.org/examples/119.png",
"https://oebp.org/examples/120.png",
"https://oebp.org/examples/121.png",
"https://oebp.org/examples/122.png",
"https://oebp.org/examples/123.png",
"htt... | |||||
12 | Thin elongated convex hull vs. compact convex hull. | Mikhail M. Bongard | [
"convex_hull",
"elongated_compact"
] | [
"bongard",
"finished",
"fuzzy",
"nice",
"spectrum",
"stretch",
"traditional"
] | M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 217. | https://oebp.org/BP12 | All examples in this Bongard Problem are shape outlines. | 1967-01-01 00:00:00 | [
"https://oebp.org/examples/128.png",
"https://oebp.org/examples/129.png",
"https://oebp.org/examples/130.png",
"https://oebp.org/examples/131.png",
"https://oebp.org/examples/132.png",
"https://oebp.org/examples/133.png",
"https://oebp.org/examples/134.png",
"https://oebp.org/examples/135.png",
"htt... | |||||
13 | Tall rectangle OR wide ellipse vs. wide rectangle OR tall ellipse. | Mikhail M. Bongard | [
"disjunction logical",
"horizontal",
"line_slope",
"or",
"vertical"
] | [
"bongard",
"finished",
"precise",
"preciseworld",
"stretch",
"traditional"
] | M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 218. | https://oebp.org/BP13 | All examples in this Bongard Problem are outlines of ellipses or rectangles aligned to the x-y-axes. | 1967-01-01 00:00:00 | [
"https://oebp.org/examples/140.png",
"https://oebp.org/examples/141.png",
"https://oebp.org/examples/142.png",
"https://oebp.org/examples/143.png",
"https://oebp.org/examples/144.png",
"https://oebp.org/examples/145.png",
"https://oebp.org/examples/146.png",
"https://oebp.org/examples/147.png",
"htt... | |||||
14 | All big individual figures vs. all small individual figures. | Mikhail M. Bongard | [
"all",
"big",
"large",
"length_line_or_curve",
"size",
"small"
] | [
"bongard",
"finished",
"fuzzy",
"size",
"stable",
"traditional"
] | M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 218. | See BP2 for the same idea using one shape. | https://oebp.org/BP14 | All examples in this Problem show one or more connected figures made up of lines.
Some big shapes and some small shapes would be ambiguous. | 1967-01-01 00:00:00 | [
"https://oebp.org/examples/152.png",
"https://oebp.org/examples/153.png",
"https://oebp.org/examples/154.png",
"https://oebp.org/examples/155.png",
"https://oebp.org/examples/156.png",
"https://oebp.org/examples/157.png",
"https://oebp.org/examples/158.png",
"https://oebp.org/examples/159.png",
"htt... | ||||
15 | Closed shape outline vs. non-closed curve. | Mikhail M. Bongard | [
"closed_open",
"hole",
"loop"
] | [
"bongard",
"finished",
"nice",
"traditional",
"unstable",
"world"
] | M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 218. | https://oebp.org/BP15 | All examples in this Bongard Problem are non-self-intersecting curves. | 1967-01-01 00:00:00 | [
"https://oebp.org/examples/164.png",
"https://oebp.org/examples/165.png",
"https://oebp.org/examples/166.png",
"https://oebp.org/examples/167.png",
"https://oebp.org/examples/168.png",
"https://oebp.org/examples/169.png",
"https://oebp.org/examples/170.png",
"https://oebp.org/examples/171.png",
"htt... | |||||
16 | Clockwise spiraling curve vs. counter-clockwise spiraling curve. | Mikhail M. Bongard | [
"direction",
"rotational_direction",
"tracing_line_or_curve",
"turn_orientation"
] | [
"bongard",
"finished",
"gap",
"handed",
"nice",
"traditional"
] | M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 219. | https://oebp.org/BP16 | All examples in this Bongard Problem are non-self-intersecting spiraling curves, perhaps wiggly, perhaps with corners. | 1967-01-01 00:00:00 | [
"https://oebp.org/examples/176.png",
"https://oebp.org/examples/177.png",
"https://oebp.org/examples/178.png",
"https://oebp.org/examples/179.png",
"https://oebp.org/examples/180.png",
"https://oebp.org/examples/181.png",
"https://oebp.org/examples/182.png",
"https://oebp.org/examples/183.png",
"htt... | |||||
17 | Shape with a reflex corner vs. shape without a reflex corner. | Mikhail M. Bongard | [
"acute",
"angle",
"indentation",
"notch"
] | [
"bongard",
"finished",
"traditional"
] | M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 219. | https://oebp.org/BP17 | All examples in this Bongard Problem are outlines of shapes. | 1967-01-01 00:00:00 | [
"https://oebp.org/examples/188.png",
"https://oebp.org/examples/189.png",
"https://oebp.org/examples/190.png",
"https://oebp.org/examples/191.png",
"https://oebp.org/examples/192.png",
"https://oebp.org/examples/193.png",
"https://oebp.org/examples/194.png",
"https://oebp.org/examples/195.png",
"htt... | |||||
18 | "Pinched" shape (drastically thinner somewhere in the middle than on the ends) vs. non-pinched shape. | Mikhail M. Bongard | [
"neck_narrowing"
] | [
"bongard",
"finished",
"traditional"
] | M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 219. | https://oebp.org/BP18 | All examples in this Bongard Problem are oblong outlines of shapes. | 1967-01-01 00:00:00 | [
"https://oebp.org/examples/200.png",
"https://oebp.org/examples/201.png",
"https://oebp.org/examples/202.png",
"https://oebp.org/examples/203.png",
"https://oebp.org/examples/204.png",
"https://oebp.org/examples/205.png",
"https://oebp.org/examples/206.png",
"https://oebp.org/examples/207.png",
"htt... | |||||
19 | Horizontal pinch vs. vertical pinch. | Mikhail M. Bongard | [
"horizontal",
"neck_narrowing",
"vertical"
] | [
"bongard",
"dual",
"finished",
"rotate",
"traditional"
] | M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 220. | https://oebp.org/BP19 | All examples in this Bongard Problem are outlines of shapes. More specifically, all examples have a thin horizontal or vertical bridge in the middle connecting two wide ends. | 1967-01-01 00:00:00 | [
"https://oebp.org/examples/212.png",
"https://oebp.org/examples/213.png",
"https://oebp.org/examples/214.png",
"https://oebp.org/examples/215.png",
"https://oebp.org/examples/216.png",
"https://oebp.org/examples/217.png",
"https://oebp.org/examples/218.png",
"https://oebp.org/examples/219.png",
"htt... | |||||
20 | Both dots touching same bulb vs. dots on opposite bulbs. | Mikhail M. Bongard | [
"close to",
"far from",
"near_far",
"neck_narrowing",
"separation_of_joined_objects",
"together"
] | [
"bongard",
"finished",
"nice",
"traditional"
] | M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 220. | https://oebp.org/BP20 | All examples in this Bongard Problem are outlines of smooth shapes with a pinch in the middle and with two tiny black circles attached to the outside of the shape (tangent).
A shape with either dot tangent to the the valley section would be ambiguous. | 1967-01-01 00:00:00 | [
"https://oebp.org/examples/224.png",
"https://oebp.org/examples/225.png",
"https://oebp.org/examples/226.png",
"https://oebp.org/examples/227.png",
"https://oebp.org/examples/228.png",
"https://oebp.org/examples/229.png",
"https://oebp.org/examples/230.png",
"https://oebp.org/examples/231.png",
"htt... | |||||
21 | Small shape present vs. all shapes large. | Mikhail M. Bongard | [
"big",
"existence",
"large",
"size",
"small"
] | [
"bongard",
"finished",
"traditional"
] | M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 220. | https://oebp.org/BP21 | All examples in this problem include three or fewer outlines of circles and (non-skinny) triangles. | 1967-01-01 00:00:00 | [
"https://oebp.org/examples/236.png",
"https://oebp.org/examples/237.png",
"https://oebp.org/examples/238.png",
"https://oebp.org/examples/239.png",
"https://oebp.org/examples/240.png",
"https://oebp.org/examples/241.png",
"https://oebp.org/examples/242.png",
"https://oebp.org/examples/243.png",
"htt... | |||||
22 | All shapes approximately the same size vs. shapes of different size. | Mikhail M. Bongard | [
"all",
"average",
"big",
"large",
"size",
"small"
] | [
"bongard",
"finished",
"traditional"
] | M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 221. | https://oebp.org/BP22 | All examples in this problem include three or fewer outlines of circles, (near-square) quadrilaterals and (non-skinny) triangles. | 1967-01-01 00:00:00 | [
"https://oebp.org/examples/248.png",
"https://oebp.org/examples/249.png",
"https://oebp.org/examples/250.png",
"https://oebp.org/examples/251.png",
"https://oebp.org/examples/252.png",
"https://oebp.org/examples/253.png",
"https://oebp.org/examples/254.png",
"https://oebp.org/examples/255.png",
"htt... | |||||
23 | One vs. two figures. | Mikhail M. Bongard | [
"1",
"2",
"number",
"one",
"two"
] | [
"bongard",
"easy",
"finished",
"gap",
"nice",
"number",
"precise",
"traditional",
"world"
] | M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 221. | https://oebp.org/BP23 | All examples in this Problem comprise one or two shape outlines. | 1967-01-01 00:00:00 | [
"https://oebp.org/examples/260.png",
"https://oebp.org/examples/261.png",
"https://oebp.org/examples/262.png",
"https://oebp.org/examples/263.png",
"https://oebp.org/examples/264.png",
"https://oebp.org/examples/265.png",
"https://oebp.org/examples/266.png",
"https://oebp.org/examples/267.png",
"htt... | |||||
24 | A circle vs. no circle. | Mikhail M. Bongard | [
"circle",
"existence"
] | [
"bongard",
"finished",
"traditional"
] | M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 221. | https://oebp.org/BP24 | All small squares appearing in this problem are axis-aligned. | 1967-01-01 00:00:00 | [
"https://oebp.org/examples/272.png",
"https://oebp.org/examples/273.png",
"https://oebp.org/examples/274.png",
"https://oebp.org/examples/275.png",
"https://oebp.org/examples/276.png",
"https://oebp.org/examples/277.png",
"https://oebp.org/examples/278.png",
"https://oebp.org/examples/279.png",
"htt... | |||||
25 | Black figure is a triangle vs. black figure is a circle. | Mikhail M. Bongard | [
"cluster",
"color",
"feature_cluster",
"filled",
"outlined_filled",
"texture",
"triangle"
] | [
"bongard",
"finished",
"noisy",
"traditional"
] | M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 222. | https://oebp.org/BP25 | All small squares appearing in this problem are axis-aligned. | 1967-01-01 00:00:00 | [
"https://oebp.org/examples/284.png",
"https://oebp.org/examples/285.png",
"https://oebp.org/examples/286.png",
"https://oebp.org/examples/287.png",
"https://oebp.org/examples/288.png",
"https://oebp.org/examples/289.png",
"https://oebp.org/examples/290.png",
"https://oebp.org/examples/291.png",
"htt... | |||||
26 | Solid black triangle vs. no solid black triangle. | Mikhail M. Bongard | [
"and",
"cluster",
"color",
"conjunction logical",
"existence",
"feature_cluster",
"filled",
"outlined_filled",
"texture",
"triangle"
] | [
"bongard",
"finished",
"traditional"
] | M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 222. | https://oebp.org/BP26 | 1967-01-01 00:00:00 | [
"https://oebp.org/examples/296.png",
"https://oebp.org/examples/297.png",
"https://oebp.org/examples/298.png",
"https://oebp.org/examples/299.png",
"https://oebp.org/examples/300.png",
"https://oebp.org/examples/301.png",
"https://oebp.org/examples/302.png",
"https://oebp.org/examples/303.png",
"htt... | ||||||
27 | More solid black figures vs. more outline figures. | Mikhail M. Bongard | [
"cluster",
"color",
"feature_cluster",
"fewer",
"filled",
"greater",
"greater than",
"less",
"less than",
"lesser",
"more",
"number",
"outlined_filled",
"quantity_comparison",
"texture"
] | [
"bongard",
"finished",
"traditional"
] | M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 222. | https://oebp.org/BP27 | All small squares appearing in this problem are axis-aligned.
All examples have at least one filled shape and one outline. | 1967-01-01 00:00:00 | [
"https://oebp.org/examples/308.png",
"https://oebp.org/examples/309.png",
"https://oebp.org/examples/310.png",
"https://oebp.org/examples/311.png",
"https://oebp.org/examples/312.png",
"https://oebp.org/examples/313.png",
"https://oebp.org/examples/314.png",
"https://oebp.org/examples/315.png",
"htt... | |||||
28 | More solid black circles vs. more outline circles. | Mikhail M. Bongard | [
"and",
"cluster",
"color",
"conjunction logical",
"fewer",
"filled",
"greater",
"greater than",
"less",
"less than",
"lesser",
"more",
"number",
"outlined_filled",
"quantity_comparison",
"texture"
] | [
"bongard",
"discrete",
"finished",
"spectrum",
"traditional",
"viceversa"
] | M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 223. | https://oebp.org/BP28 | All examples have at least two filled shapes and two outlines. | 1967-01-01 00:00:00 | [
"https://oebp.org/examples/320.png",
"https://oebp.org/examples/321.png",
"https://oebp.org/examples/322.png",
"https://oebp.org/examples/323.png",
"https://oebp.org/examples/324.png",
"https://oebp.org/examples/325.png",
"https://oebp.org/examples/326.png",
"https://oebp.org/examples/327.png",
"htt... | |||||
29 | There are more small circles inside the figure outline than outside vs. there are fewer small circles inside the figure outline than outside. | Mikhail M. Bongard | [
"cluster",
"fewer",
"greater",
"greater than",
"inside",
"interior_exterior",
"less",
"less than",
"lesser",
"more",
"number",
"quantity_comparison",
"shape_cluster"
] | [
"bongard",
"discrete",
"finished",
"spectrum",
"traditional",
"viceversa"
] | M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 223. | https://oebp.org/BP29 | 1967-01-01 00:00:00 | [
"https://oebp.org/examples/332.png",
"https://oebp.org/examples/333.png",
"https://oebp.org/examples/334.png",
"https://oebp.org/examples/335.png",
"https://oebp.org/examples/336.png",
"https://oebp.org/examples/337.png",
"https://oebp.org/examples/338.png",
"https://oebp.org/examples/339.png",
"htt... | ||||||
30 | A curve with one self-crossing vs. a curve without a self-crossing. | Mikhail M. Bongard | [
"existence",
"intersection",
"x-crossing",
"x-point"
] | [
"bongard",
"finished",
"nice",
"traditional"
] | M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 223. | BP1232 is almost exactly the same, but allowing for multiple curves and multiple self-crossings. | https://oebp.org/BP30 | 1967-01-01 00:00:00 | [
"https://oebp.org/examples/344.png",
"https://oebp.org/examples/345.png",
"https://oebp.org/examples/346.png",
"https://oebp.org/examples/347.png",
"https://oebp.org/examples/348.png",
"https://oebp.org/examples/349.png",
"https://oebp.org/examples/350.png",
"https://oebp.org/examples/351.png",
"htt... | |||||
31 | One line vs. two lines. | Mikhail M. Bongard | [
"1",
"2",
"distinguishing_crossing_curves",
"one",
"two"
] | [
"allsorted",
"bongard",
"easy",
"left-narrow",
"pixelperfect",
"precise",
"right-narrow",
"traditional"
] | M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 224. | https://oebp.org/BP31 | 1967-01-01 00:00:00 | [
"https://oebp.org/examples/356.png",
"https://oebp.org/examples/357.png",
"https://oebp.org/examples/358.png",
"https://oebp.org/examples/359.png",
"https://oebp.org/examples/360.png",
"https://oebp.org/examples/361.png",
"https://oebp.org/examples/362.png",
"https://oebp.org/examples/363.png",
"htt... | ||||||
32 | A sharp projection vs. no sharp projection. | Mikhail M. Bongard | [
"acute",
"angle",
"cusp",
"protrusion"
] | [
"bongard",
"finished",
"nice",
"notso",
"traditional"
] | M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 224. | https://oebp.org/BP32 | 1967-01-01 00:00:00 | [
"https://oebp.org/examples/368.png",
"https://oebp.org/examples/369.png",
"https://oebp.org/examples/370.png",
"https://oebp.org/examples/371.png",
"https://oebp.org/examples/372.png",
"https://oebp.org/examples/373.png",
"https://oebp.org/examples/374.png",
"https://oebp.org/examples/375.png",
"htt... | ||||||
33 | Acute angle vs. no acute angle. | Mikhail M. Bongard | [
"acute",
"angle",
"existence"
] | [
"bongard",
"finished",
"nice",
"stretch",
"traditional"
] | M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 224. | https://oebp.org/BP33 | 1967-01-01 00:00:00 | [
"https://oebp.org/examples/380.png",
"https://oebp.org/examples/381.png",
"https://oebp.org/examples/382.png",
"https://oebp.org/examples/383.png",
"https://oebp.org/examples/384.png",
"https://oebp.org/examples/385.png",
"https://oebp.org/examples/386.png",
"https://oebp.org/examples/387.png",
"htt... | ||||||
34 | A large hole vs. a small hole. | Mikhail M. Bongard | [
"big",
"hole",
"large",
"size",
"small",
"texture"
] | [
"bongard",
"finished",
"spectrum",
"stable",
"traditional"
] | M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 225. | https://oebp.org/BP34 | 1967-01-01 00:00:00 | [
"https://oebp.org/examples/392.png",
"https://oebp.org/examples/393.png",
"https://oebp.org/examples/394.png",
"https://oebp.org/examples/395.png",
"https://oebp.org/examples/396.png",
"https://oebp.org/examples/397.png",
"https://oebp.org/examples/398.png",
"https://oebp.org/examples/399.png",
"htt... | ||||||
35 | The axis of the hole is parallel to the figure axis vs. the axis of the hole is perpendicular to the figure axis. | Mikhail M. Bongard | [
"hole",
"line_slope",
"parallel",
"perpendicular",
"same",
"texture"
] | [
"bongard",
"finished",
"traditional"
] | M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 225. | https://oebp.org/BP35 | 1967-01-01 00:00:00 | [
"https://oebp.org/examples/404.png",
"https://oebp.org/examples/405.png",
"https://oebp.org/examples/406.png",
"https://oebp.org/examples/407.png",
"https://oebp.org/examples/408.png",
"https://oebp.org/examples/409.png",
"https://oebp.org/examples/410.png",
"https://oebp.org/examples/411.png",
"htt... | ||||||
36 | Triangle above circle vs. circle above triangle. | Mikhail M. Bongard | [
"above_below",
"fewer",
"greater",
"greater than",
"less",
"less than",
"lesser",
"more",
"quantity_comparison",
"triangle"
] | [
"bongard",
"continuous",
"dual",
"finished",
"handed",
"orderedpair",
"rotate",
"spectrum",
"traditional",
"updown",
"viceversa"
] | M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 225. | https://oebp.org/BP36 | 1967-01-01 00:00:00 | [
"https://oebp.org/examples/416.png",
"https://oebp.org/examples/417.png",
"https://oebp.org/examples/418.png",
"https://oebp.org/examples/419.png",
"https://oebp.org/examples/420.png",
"https://oebp.org/examples/421.png",
"https://oebp.org/examples/422.png",
"https://oebp.org/examples/423.png",
"htt... | ||||||
37 | Triangle above circle vs. circle above triangle. | Mikhail M. Bongard | [
"above_below",
"fewer",
"greater",
"greater than",
"less",
"less than",
"lesser",
"more",
"quantity_comparison",
"triangle"
] | [
"bongard",
"continuous",
"finished",
"noisy",
"spectrum",
"traditional",
"viceversa"
] | M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 226. | https://oebp.org/BP37 | 1967-01-01 00:00:00 | [
"https://oebp.org/examples/428.png",
"https://oebp.org/examples/429.png",
"https://oebp.org/examples/430.png",
"https://oebp.org/examples/431.png",
"https://oebp.org/examples/432.png",
"https://oebp.org/examples/433.png",
"https://oebp.org/examples/434.png",
"https://oebp.org/examples/435.png",
"htt... | ||||||
38 | Triangle larger than circle vs. triangle smaller than circle. | Mikhail M. Bongard | [
"big",
"fewer",
"greater",
"greater than",
"large",
"less",
"less than",
"lesser",
"more",
"quantity_comparison",
"size",
"small",
"triangle"
] | [
"bongard",
"continuous",
"finished",
"orderedpair",
"spectrum",
"traditional",
"viceversa"
] | M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 226. | https://oebp.org/BP38 | 1967-01-01 00:00:00 | [
"https://oebp.org/examples/440.png",
"https://oebp.org/examples/441.png",
"https://oebp.org/examples/442.png",
"https://oebp.org/examples/443.png",
"https://oebp.org/examples/444.png",
"https://oebp.org/examples/445.png",
"https://oebp.org/examples/446.png",
"https://oebp.org/examples/447.png",
"htt... | ||||||
39 | Segments approximately parallel to each other vs. large angles between segments. | Mikhail M. Bongard | [
"3",
"all",
"line_slope",
"parallel",
"same",
"similar",
"three"
] | [
"bongard",
"finished",
"traditional",
"unorderedtriplet"
] | M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 226. | https://oebp.org/BP39 | 1967-01-01 00:00:00 | [
"https://oebp.org/examples/452.png",
"https://oebp.org/examples/453.png",
"https://oebp.org/examples/454.png",
"https://oebp.org/examples/455.png",
"https://oebp.org/examples/456.png",
"https://oebp.org/examples/457.png",
"https://oebp.org/examples/458.png",
"https://oebp.org/examples/459.png",
"htt... | ||||||
40 | Three points on a straight line vs. no three points on a straight line. | Mikhail M. Bongard | [
"3",
"4",
"collinear",
"four",
"three"
] | [
"bongard",
"finished",
"noisy",
"traditional"
] | M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 227. | https://oebp.org/BP40 | 1967-01-01 00:00:00 | [
"https://oebp.org/examples/464.png",
"https://oebp.org/examples/465.png",
"https://oebp.org/examples/466.png",
"https://oebp.org/examples/467.png",
"https://oebp.org/examples/468.png",
"https://oebp.org/examples/469.png",
"https://oebp.org/examples/470.png",
"https://oebp.org/examples/471.png",
"htt... | ||||||
41 | Outline circles on one straight line vs. outline circles not on one straight line. | Mikhail M. Bongard | [
"cluster",
"collinear",
"color",
"feature_cluster",
"filled",
"outlined_filled",
"texture"
] | [
"bongard",
"finished",
"traditional"
] | M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 227. | https://oebp.org/BP41 | 1967-01-01 00:00:00 | [
"https://oebp.org/examples/476.png",
"https://oebp.org/examples/477.png",
"https://oebp.org/examples/478.png",
"https://oebp.org/examples/479.png",
"https://oebp.org/examples/480.png",
"https://oebp.org/examples/481.png",
"https://oebp.org/examples/482.png",
"https://oebp.org/examples/483.png",
"htt... | ||||||
42 | Points inside the figure outline are on a straight line vs. points inside the figure outline are not on a straight line. | Mikhail M. Bongard | [
"cluster",
"collinear",
"interior_exterior",
"shape_cluster"
] | [
"bongard",
"finished",
"noisy",
"traditional"
] | M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 227. | https://oebp.org/BP42 | 1967-01-01 00:00:00 | [
"https://oebp.org/examples/488.png",
"https://oebp.org/examples/489.png",
"https://oebp.org/examples/490.png",
"https://oebp.org/examples/491.png",
"https://oebp.org/examples/492.png",
"https://oebp.org/examples/493.png",
"https://oebp.org/examples/494.png",
"https://oebp.org/examples/495.png",
"htt... | ||||||
43 | The vibration amplitude increases from left to right vs. the vibration amplitude decreases from left to right. | Mikhail M. Bongard | [
"decreasing",
"horizontal",
"increasing",
"larger, becoming",
"leftward_rightward",
"regular_irregular_change",
"size_increase_decrease",
"smaller, becoming",
"tracing_line_or_curve",
"wave"
] | [
"bongard",
"dual",
"finished",
"handed",
"leftright",
"traditional",
"viceversa"
] | M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 228. | https://oebp.org/BP43 | 1967-01-01 00:00:00 | [
"https://oebp.org/examples/500.png",
"https://oebp.org/examples/501.png",
"https://oebp.org/examples/502.png",
"https://oebp.org/examples/503.png",
"https://oebp.org/examples/504.png",
"https://oebp.org/examples/505.png",
"https://oebp.org/examples/506.png",
"https://oebp.org/examples/507.png",
"htt... | ||||||
44 | Small circles on different arcs vs. small circles on one arc. | Mikhail M. Bongard | [
"between",
"cusp",
"on_line_or_curve",
"separation_of_joined_objects"
] | [
"bongard",
"finished",
"traditional"
] | M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 228. | https://oebp.org/BP44 | 1967-01-01 00:00:00 | [
"https://oebp.org/examples/512.png",
"https://oebp.org/examples/513.png",
"https://oebp.org/examples/514.png",
"https://oebp.org/examples/515.png",
"https://oebp.org/examples/516.png",
"https://oebp.org/examples/517.png",
"https://oebp.org/examples/518.png",
"https://oebp.org/examples/519.png",
"htt... | ||||||
45 | Outline figure on top of solid black figure vs. black figure on top of outline figure. | Mikhail M. Bongard | [
"3d_front_back",
"color",
"filled",
"intersection",
"objects_overlap",
"outlined_filled",
"overlap",
"overlapping",
"texture"
] | [
"bongard",
"dual",
"finished",
"traditional",
"viceversa"
] | M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 228. | https://oebp.org/BP45 | 1967-01-01 00:00:00 | [
"https://oebp.org/examples/524.png",
"https://oebp.org/examples/525.png",
"https://oebp.org/examples/526.png",
"https://oebp.org/examples/527.png",
"https://oebp.org/examples/528.png",
"https://oebp.org/examples/529.png",
"https://oebp.org/examples/530.png",
"https://oebp.org/examples/531.png",
"htt... | ||||||
46 | Triangle on top of the circle vs. circle on top of the triangle. | Mikhail M. Bongard | [
"3d_front_back",
"intersection",
"objects_overlap",
"overlap",
"overlapping",
"triangle"
] | [
"bongard",
"finished",
"traditional",
"viceversa"
] | M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 229. | https://oebp.org/BP46 | 1967-01-01 00:00:00 | [
"https://oebp.org/examples/536.png",
"https://oebp.org/examples/537.png",
"https://oebp.org/examples/538.png",
"https://oebp.org/examples/539.png",
"https://oebp.org/examples/540.png",
"https://oebp.org/examples/541.png",
"https://oebp.org/examples/542.png",
"https://oebp.org/examples/543.png",
"htt... | ||||||
47 | Triangle inside of the circle vs. circle inside of the triangle. | Mikhail M. Bongard | [
"inside",
"triangle"
] | [
"bongard",
"finished",
"traditional",
"viceversa"
] | M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 229. | https://oebp.org/BP47 | 1967-01-01 00:00:00 | [
"https://oebp.org/examples/548.png",
"https://oebp.org/examples/549.png",
"https://oebp.org/examples/550.png",
"https://oebp.org/examples/551.png",
"https://oebp.org/examples/552.png",
"https://oebp.org/examples/553.png",
"https://oebp.org/examples/554.png",
"https://oebp.org/examples/555.png",
"htt... | ||||||
48 | Solid dark figures above the outline figures vs. outline figures above the solid dark figures. | Mikhail M. Bongard | [
"above_below",
"average",
"cluster",
"color",
"feature_cluster",
"filled",
"outlined_filled",
"texture"
] | [
"bongard",
"finished",
"noisy",
"traditional",
"viceversa"
] | M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 229. | https://oebp.org/BP48 | 1967-01-01 00:00:00 | [
"https://oebp.org/examples/560.png",
"https://oebp.org/examples/561.png",
"https://oebp.org/examples/562.png",
"https://oebp.org/examples/563.png",
"https://oebp.org/examples/564.png",
"https://oebp.org/examples/565.png",
"https://oebp.org/examples/566.png",
"https://oebp.org/examples/567.png",
"htt... | ||||||
49 | Points inside the figure outline are grouped more densely than outside the contour vs. points outside the figure contour are grouped more densely than inside the contour. | Mikhail M. Bongard | [
"close to",
"cluster",
"far from",
"feature_cluster",
"inside",
"interior_exterior",
"near_far",
"shape_cluster",
"together"
] | [
"bongard",
"finished",
"traditional",
"viceversa"
] | M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 230. | https://oebp.org/BP49 | 1967-01-01 00:00:00 | [
"https://oebp.org/examples/572.png",
"https://oebp.org/examples/573.png",
"https://oebp.org/examples/574.png",
"https://oebp.org/examples/575.png",
"https://oebp.org/examples/576.png",
"https://oebp.org/examples/577.png",
"https://oebp.org/examples/578.png",
"https://oebp.org/examples/579.png",
"htt... | ||||||
50 | Vertical axis of symmetry vs. no axis of symmetry. | Mikhail M. Bongard | [
"symmetry",
"symmetry_axis"
] | [
"bongard",
"finished",
"left-narrow",
"nice",
"stretch",
"traditional"
] | M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 230. | BP152 is the same solution (with the sides switched), using connected shapes and without black filling.
BP1206 was created to be a slightly different version of this: "vertical axis of symmetry vs. no vertical axis of symmetry." (That less specific solution fits this Bongard Problem as well.) | https://oebp.org/BP50 | 1967-01-01 00:00:00 | [
"https://oebp.org/examples/584.png",
"https://oebp.org/examples/585.png",
"https://oebp.org/examples/586.png",
"https://oebp.org/examples/587.png",
"https://oebp.org/examples/588.png",
"https://oebp.org/examples/589.png",
"https://oebp.org/examples/590.png",
"https://oebp.org/examples/591.png",
"htt... | |||||
51 | Two circles close to each other vs. no two circles close to each other. | Mikhail M. Bongard | [
"close to",
"far from",
"near_far",
"together"
] | [
"bongard",
"finished",
"nice",
"traditional"
] | M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 230. | https://oebp.org/BP51 | 1967-01-01 00:00:00 | [
"https://oebp.org/examples/596.png",
"https://oebp.org/examples/597.png",
"https://oebp.org/examples/598.png",
"https://oebp.org/examples/599.png",
"https://oebp.org/examples/600.png",
"https://oebp.org/examples/601.png",
"https://oebp.org/examples/602.png",
"https://oebp.org/examples/603.png",
"htt... | ||||||
52 | Arrows pointing in different directions vs. arrows pointing in the same direction. | Mikhail M. Bongard | [
"arrow",
"imagined_entity",
"imagined_point",
"pointing_to",
"tracing_line_or_curve",
"tracing_lines_or_curves_meet"
] | [
"bongard",
"finished",
"traditional"
] | M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 231. | https://oebp.org/BP52 | 1967-01-01 00:00:00 | [
"https://oebp.org/examples/608.png",
"https://oebp.org/examples/609.png",
"https://oebp.org/examples/610.png",
"https://oebp.org/examples/611.png",
"https://oebp.org/examples/612.png",
"https://oebp.org/examples/613.png",
"https://oebp.org/examples/614.png",
"https://oebp.org/examples/615.png",
"htt... | ||||||
53 | Inside figure has fewer angles than outside figure vs. inside figure has more angles than outside figure. | Mikhail M. Bongard | [
"fewer",
"greater",
"greater than",
"inside",
"less",
"less than",
"lesser",
"more",
"number",
"quantity_comparison"
] | [
"bongard",
"discrete",
"finished",
"spectrum",
"traditional",
"viceversa"
] | M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 231. | https://oebp.org/BP53 | 1967-01-01 00:00:00 | [
"https://oebp.org/examples/620.png",
"https://oebp.org/examples/621.png",
"https://oebp.org/examples/622.png",
"https://oebp.org/examples/623.png",
"https://oebp.org/examples/624.png",
"https://oebp.org/examples/625.png",
"https://oebp.org/examples/626.png",
"https://oebp.org/examples/627.png",
"htt... | ||||||
54 | A cross, circle, and triangle arranged counterclockwise vs. a cross, circle, and triangle arranged clockwise. | Mikhail M. Bongard | [
"direction",
"rotational_direction",
"triangle",
"turn_orientation"
] | [
"bongard",
"dual",
"finished",
"handed",
"orderedtriplet",
"traditional"
] | M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 231. | https://oebp.org/BP54 | 1967-01-01 00:00:00 | [
"https://oebp.org/examples/632.png",
"https://oebp.org/examples/633.png",
"https://oebp.org/examples/634.png",
"https://oebp.org/examples/635.png",
"https://oebp.org/examples/636.png",
"https://oebp.org/examples/637.png",
"https://oebp.org/examples/638.png",
"https://oebp.org/examples/639.png",
"htt... | ||||||
55 | A circle is at the left of the cavity if you look from inside the figure vs. a circle is at the right of the cavity if you look from inside the figure. | Mikhail M. Bongard | [
"direction",
"indentation",
"notch",
"on_line_or_curve",
"rotational_direction",
"separation_of_joined_objects",
"tracing_line_or_curve"
] | [
"bongard",
"dual",
"finished",
"handed",
"traditional"
] | M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 232. | https://oebp.org/BP55 | 1967-01-01 00:00:00 | [
"https://oebp.org/examples/644.png",
"https://oebp.org/examples/645.png",
"https://oebp.org/examples/646.png",
"https://oebp.org/examples/647.png",
"https://oebp.org/examples/648.png",
"https://oebp.org/examples/649.png",
"https://oebp.org/examples/650.png",
"https://oebp.org/examples/651.png",
"htt... | ||||||
56 | All figures of the same color vs. figures of different colors. | Mikhail M. Bongard | [
"all",
"color",
"filled",
"outlined_filled",
"same",
"same_feature",
"texture"
] | [
"bongard",
"finished",
"traditional"
] | M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 232. | https://oebp.org/BP56 | 1967-01-01 00:00:00 | [
"https://oebp.org/examples/656.png",
"https://oebp.org/examples/657.png",
"https://oebp.org/examples/658.png",
"https://oebp.org/examples/659.png",
"https://oebp.org/examples/660.png",
"https://oebp.org/examples/661.png",
"https://oebp.org/examples/662.png",
"https://oebp.org/examples/663.png",
"htt... | ||||||
57 | Identical figures vs. figures not identical. | Mikhail M. Bongard | [
"identical",
"same",
"same_shape"
] | [
"bongard",
"finished",
"nice",
"traditional",
"unorderedpair"
] | M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 232. | BP1222 is similar but allows the shapes to be different sizes.
BP343 is about existence of a pair of identical shapes among many shapes. | https://oebp.org/BP57 | 1967-01-01 00:00:00 | [
"https://oebp.org/examples/668.png",
"https://oebp.org/examples/669.png",
"https://oebp.org/examples/670.png",
"https://oebp.org/examples/671.png",
"https://oebp.org/examples/672.png",
"https://oebp.org/examples/673.png",
"https://oebp.org/examples/674.png",
"https://oebp.org/examples/675.png",
"htt... | |||||
58 | Solid dark quadrangles are identical vs. solid dark quadrangles are different. | Mikhail M. Bongard | [
"cluster",
"color",
"feature_cluster",
"filled",
"identical",
"outlined_filled",
"same",
"same_shape",
"square",
"texture"
] | [
"bongard",
"finished",
"noisy",
"traditional"
] | M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 233. | https://oebp.org/BP58 | 1967-01-01 00:00:00 | [
"https://oebp.org/examples/680.png",
"https://oebp.org/examples/681.png",
"https://oebp.org/examples/682.png",
"https://oebp.org/examples/683.png",
"https://oebp.org/examples/684.png",
"https://oebp.org/examples/685.png",
"https://oebp.org/examples/686.png",
"https://oebp.org/examples/687.png",
"htt... | ||||||
59 | Figures are similar vs. figures are not similar. | Mikhail M. Bongard | [
"similar",
"similar_shape"
] | [
"bongard",
"finished",
"nice",
"traditional",
"unorderedpair"
] | M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 233. | https://oebp.org/BP59 | 1967-01-01 00:00:00 | [
"https://oebp.org/examples/692.png",
"https://oebp.org/examples/693.png",
"https://oebp.org/examples/694.png",
"https://oebp.org/examples/695.png",
"https://oebp.org/examples/696.png",
"https://oebp.org/examples/697.png",
"https://oebp.org/examples/698.png",
"https://oebp.org/examples/699.png",
"htt... | ||||||
60 | Some similar figures vs. no similar figures. | Mikhail M. Bongard | [
"similar",
"similar_shape"
] | [
"bongard",
"finished",
"noisy",
"traditional"
] | M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 233. | https://oebp.org/BP60 | 1967-01-01 00:00:00 | [
"https://oebp.org/examples/704.png",
"https://oebp.org/examples/705.png",
"https://oebp.org/examples/706.png",
"https://oebp.org/examples/707.png",
"https://oebp.org/examples/708.png",
"https://oebp.org/examples/709.png",
"https://oebp.org/examples/710.png",
"https://oebp.org/examples/711.png",
"htt... | ||||||
61 | A line separates the crosses in half vs. a line does not separate the crosses in half. | Mikhail M. Bongard | [
"cluster",
"same",
"same_number",
"shape_cluster",
"sides_of_line"
] | [
"bongard",
"finished",
"traditional"
] | M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 234. | https://oebp.org/BP61 | 1967-01-01 00:00:00 | [
"https://oebp.org/examples/716.png",
"https://oebp.org/examples/717.png",
"https://oebp.org/examples/718.png",
"https://oebp.org/examples/719.png",
"https://oebp.org/examples/720.png",
"https://oebp.org/examples/721.png",
"https://oebp.org/examples/722.png",
"https://oebp.org/examples/723.png",
"htt... |
This is a Hugging Face version of The On-Line Encyclopedia of Bongard Problems (OEBP). It is an extensive collection of Bongard Problems: visual puzzles usually containing two groups of 6 images for which the goal is to find a rule that separates the two groups.
Visualized below is the problem BP6 (6th row) for which a separating rule can be expressed as: "Triangle vs. quadrilateral".
| Group 1 | Group 2 | |||
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Dataset structure
This dataset provides 606 Bongard Problems, each corresponding to a row. Row contain two groups of images (group_1 and group_2), one solution rule in description, and optional associated concepts and keywords in concepts and keywords.
When not empty, the field extra contains additional images which can be invalid or underspecified for the problem (cf. BP1271).
The other metadata fields are the author of the problem (author), the OEBP page URL (oebp_url), the original OEBP image URLs (image_urls), and other OEBP metadata: reference, crossreferences, comments, example, and date.
Loading a problem
- Load the dataset and access the first problem:
from datasets import load_dataset
ds = load_dataset("LouisJalouzot/BongardProblems", split="train")
print(ds[0])
{
'id': 1,
'group_1': [<PIL.PngImagePlugin.PngImageFile image mode=RGBA size=98x98>],
'group_2': [<PIL.PngImagePlugin.PngImageFile image mode=RGBA size=98x98>, ...],
'description': 'Empty image vs. non-empty image.',
'author': 'Mikhail M. Bongard',
'concepts': ['empty', ...],
'keywords': ['allsorted', ...],
'extra': [],
'reference': 'M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 214.',
'crossreferences': '',
'oebp_url': 'https://oebp.org/BP1',
'comments': 'The first Bongard Problem...',
'example': 'A circle fits on the right because it is not nothing.',
'date': '1967-01-01 00:00:00',
'image_urls': ['https://oebp.org/examples/1.png', ...]
}
- Display the first image of the second group:
ds[1]["group_2"][0].show()
Source and processing
This dataset is derived from the problems available on oebp.org. The original OEBP page and image URLs are provided in each row. oebp.org organizes problems using meta-problems (e.g. BP501) which are not included in this dataset. Here the concept or keyword they represent is propagated to the actual Bongard Problems they contain.
For evaluation convenience and compliance with the Hugging Face dataset requirements, problems containing non-image examples (e.g. GIFs, BP300, or text, BP541) are excluded.
Acknowledgments
Special thanks to Aaron David Fairbanks for maintaining the OEBP, authoring many of its Bongard Problems, and providing the structured export that made this dataset possible.
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