The On-Line Encyclopedia of Bongard Problems

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BP1095

Angle of incidence equals angle of reflection vs. not

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

	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`

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`

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`

BP1092

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

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

	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`

BP1091

Rubik's Cubes which are solvable vs. not

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

	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`

BP1090

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

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

	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`

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`

BP1088

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

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

	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`

BP1087

A vertical line may pass through both objects vs. no such line exists

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

	CROSSREFS	`Adjacent-numbered pages: BP1082 BP1083 BP1084 BP1085 BP1086 * BP1088 BP1089 BP1090 BP1091 BP1092`
	KEYWORD	`easy, notso, rotate, unorderedpair`
	CONCEPT	`vertical (info \| search),` `direction (info \| search)`
	AUTHOR	`William B Holland`

BP1086

Endpoints of curve have the same height vs. not so.

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

	REFERENCE	`Solution idea seen here: https://justpuzzles.wordpress.com/2019/07/05/bongard-problem-36-2.`
	CROSSREFS	`Adjacent-numbered pages: BP1081 BP1082 BP1083 BP1084 BP1085 * BP1087 BP1088 BP1089 BP1090 BP1091`
	KEYWORD	`nice, rotate, stretch, left-narrow, traditional`
	CONCEPT	`same (info \| search)`
	WORLD	`[smaller \| same \| bigger]`
	AUTHOR	`Teun Spaans`

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