The On-Line Encyclopedia of Bongard Problems

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Considering only the ways they are connected, anything that can be said about a given node can be said about every other node vs. not so.

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	REFERENCE	`https://en.wikipedia.org/wiki/Vertex-transitive_graph`
	CROSSREFS	`Adjacent-numbered pages: BP1094 BP1095 BP1096 BP1097 BP1098 * BP1100 BP1101 BP1102 BP1103 BP1104`
	KEYWORD	`precise, allsorted, notso, math, preciseworld`
	CONCEPT	`graph (info \| search),` `distinguishing_crossing_curves (info \| search)`
	WORLD	`graph [smaller \| same \| bigger] zoom in left`
	AUTHOR	`Leo Crabbe`

Concave shapes whose cavities are similar to the shape vs. concave shape whose cavities are not similar to the shape.

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	COMMENTS	`"I am agnostic on whether to let this world include examples such as EX8932, where pixelation is used, or examples such as suggested by EX8928 similar to the "Topologist's Comb" (link in references) which are not locally path-connected. These two examples were provided by Aaron David Fairbanks." - Jago Collins 28th January 2021`
	REFERENCE	`https://en.wikipedia.org/wiki/Similarity_(geometry)` `https://en.wikipedia.org/wiki/Self-similarity` `https://en.wikipedia.org/wiki/Comb_space`
	CROSSREFS	`Adjacent-numbered pages: BP1093 BP1094 BP1095 BP1096 BP1097 * BP1099 BP1100 BP1101 BP1102 BP1103`
	EXAMPLE	`A circle with a circle cut out of it does not fit left, because with the circle cut out of it, our shape is no longer a circle.`
	KEYWORD	`stub, precise, allsorted, left-narrow, perfect, infinitedetail`
	CONCEPT	`self-reference (info \| search)`
	AUTHOR	`Jago Collins`

"Fault line" present vs. not

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	CROSSREFS	`Adjacent-numbered pages: BP1092 BP1093 BP1094 BP1095 BP1096 * BP1098 BP1099 BP1100 BP1101 BP1102`
	KEYWORD	`nice, precise, notso, left-finite, right-finite, preciseworld`
	AUTHOR	`Jago Collins`

Line between ends intersects symbol vs. not

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	CROSSREFS	`Adjacent-numbered pages: BP1091 BP1092 BP1093 BP1094 BP1095 * BP1097 BP1098 BP1099 BP1100 BP1101`
	WORLD	`arial_font_centered_connected_symbol_two_ends [smaller \| same \| bigger]`
	AUTHOR	`Jago Collins`

Angle of incidence equals angle of reflection vs. not

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	REFERENCE	`https://en.wikipedia.org/wiki/Specular_reflection` `https://en.wikipedia.org/wiki/Snooker`
	CROSSREFS	`Adjacent-numbered pages: BP1090 BP1091 BP1092 BP1093 BP1094 * BP1096 BP1097 BP1098 BP1099 BP1100`
	KEYWORD	`easy, nice, precise, allsorted, physics, perfect`
	AUTHOR	`Jago Collins`

Convex hulls intersect vs. not

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	CROSSREFS	`Adjacent-numbered pages: BP1089 BP1090 BP1091 BP1092 BP1093 * BP1095 BP1096 BP1097 BP1098 BP1099`
	KEYWORD	`precise, perfect, unorderedpair`
	CONCEPT	`convex_hull (info \| search),` `overlap (info \| search)`
	AUTHOR	`Jago Collins`

"Inverted symmetry" present vs. not

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	CROSSREFS	`Adjacent-numbered pages: BP1088 BP1089 BP1090 BP1091 BP1092 * BP1094 BP1095 BP1096 BP1097 BP1098`
	KEYWORD	`nice, precise, allsorted, boundingbox, left-narrow, right-null, perfect, pixelperfect, preciseworld, bordercontent, blackwhiteinvariant`
	CONCEPT	`black_white_inversion (info \| search)`
	WORLD	`[smaller \| same \| bigger]`
	AUTHOR	`Jago Collins`

Has element-wise 180 degree rotational symmetry vs. does not.

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	CROSSREFS	`Adjacent-numbered pages: BP1087 BP1088 BP1089 BP1090 BP1091 * BP1093 BP1094 BP1095 BP1096 BP1097`
	KEYWORD	`nice, anticomputer`
	CONCEPT	`element_wise_symmetry (info \| search),` `rotational_symmetry (info \| search)`
	AUTHOR	`William B Holland`

Rubik's Cubes which are solvable vs. not

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	CROSSREFS	`Adjacent-numbered pages: BP1086 BP1087 BP1088 BP1089 BP1090 * BP1092 BP1093 BP1094 BP1095 BP1096`
	EXAMPLE	`A cube which is solved apart from one edge flipped, or one corner twisted, would be unsolveable and so would fit on the right.`
	KEYWORD	`stub`
	AUTHOR	`Jago Collins`

Top piece can slide into bottom area in such that there is an unbroken black horizontal region vs. not so.

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	COMMENTS	`Successful moves in Tetris.`
	CROSSREFS	`Adjacent-numbered pages: BP1085 BP1086 BP1087 BP1088 BP1089 * BP1091 BP1092 BP1093 BP1094 BP1095`
	KEYWORD	`precise, teach, culture, pixelperfect`
	AUTHOR	`Leo Crabbe`

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