The On-Line Encyclopedia of Bongard Problems

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BP1070

Dead end vs. no dead ends.

(edit; present; nest [left/right]; search; history)

	CROSSREFS	`Adjacent-numbered pages: BP1065 BP1066 BP1067 BP1068 BP1069 * BP1071 BP1072 BP1073 BP1074 BP1075`
	KEYWORD	`perfect, infinitedetail`
	CONCEPT	`finite_infinite (info \| search),` `fractal (info \| search),` `recursion (info \| search),` `self-reference (info \| search)`
	WORLD	`recursive_boxes [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP1071

Two of the same kind within in one region vs. not so.

(edit; present; nest [left/right]; search; history)

	CROSSREFS	`See BP977 for a version without infinite nesting and other drawings than boxes.` `Adjacent-numbered pages: BP1066 BP1067 BP1068 BP1069 BP1070 * BP1072 BP1073 BP1074 BP1075 BP1076`
	KEYWORD	`perfect, infinitedetail`
	CONCEPT	`fractal (info \| search),` `recursion (info \| search),` `self-reference (info \| search)`
	WORLD	`recursive_boxes [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP1077

All regions have the same number of boxes vs. not so.

(edit; present; nest [left/right]; search; history)

	CROSSREFS	`Adjacent-numbered pages: BP1072 BP1073 BP1074 BP1075 BP1076 * BP1078 BP1079 BP1080 BP1081 BP1082`
	KEYWORD	`perfect, infinitedetail`
	CONCEPT	`fractal (info \| search),` `recursion (info \| search),` `self-reference (info \| search)`
	WORLD	`recursive_boxes [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP1084

Images of Bongard Problems about images of Bongard Problems vs. images of Bongard Problems not including images of Bongard Problems.

(edit; present; nest [left/right]; search; history)

	CROSSREFS	`See BP537 for the version with links to pages on the OEBP instead of images of Bongard Problems.` `Adjacent-numbered pages: BP1079 BP1080 BP1081 BP1082 BP1083 * BP1085 BP1086 BP1087 BP1088 BP1089`
	KEYWORD	`meta (see left/right), miniproblems, perfect, infinitedetail, presentationinvariant`
	WORLD	`boxes_bpimage [smaller \| same \| bigger] zoom in left`
	AUTHOR	`Leo Crabbe`

BP1088

Top piece can fit into bottom piece without leaving any overhangs vs. not so

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	COMMENTS	`The piece does not need to slide in from above, unlike the game Tetris.`
	CROSSREFS	`Adjacent-numbered pages: BP1083 BP1084 BP1085 BP1086 BP1087 * BP1089 BP1090 BP1091 BP1092 BP1093`
	KEYWORD	`perfect, pixelperfect`
	AUTHOR	`William B Holland`

BP1089

Equal number of black and white pixels vs. not

(edit; present; nest [left/right]; search; history)

	CROSSREFS	`Adjacent-numbered pages: BP1084 BP1085 BP1086 BP1087 BP1088 * BP1090 BP1091 BP1092 BP1093 BP1094`
	KEYWORD	`nice, precise, allsorted, boundingbox, right-null, perfect, pixelperfect, help, preciseworld, bordercontent, blackwhiteinvariant`
	WORLD	`[smaller \| same \| bigger]`
	AUTHOR	`Jago Collins`

BP1093

"Inverted symmetry" present vs. not

(edit; present; nest [left/right]; search; history)

	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`

BP1094

Convex hulls intersect vs. not

(edit; present; nest [left/right]; search; history)

	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`

BP1095

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`

BP1098

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

(edit; present; nest [left/right]; search; history)

	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`

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