The On-Line Encyclopedia of Bongard Problems

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A left example can be verified to fit left by checking only finitely many layers deep vs. not so.

BP1058^↔	BP1060^↔	BP1061^↔	BP1062^↔	BP1063^↔	BP1065^↔
BP1068^↔	BP1077^↔	BP1058	BP1059	BP1061	BP1066
BP1070

BP1059^↔	BP1066^↔	BP1067^↔	BP1069^↔	BP1070^↔	BP1071^↔
BP1060	BP1062	BP1063	BP1065	BP1067	BP1068
BP1069	BP1071	BP1077

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

	CROSSREFS	`Adjacent-numbered pages: BP1074 BP1075 BP1076 BP1077 BP1078 * BP1080 BP1081 BP1082 BP1083 BP1084`
	KEYWORD	`meta (see left/right), links, side, wellfounded`
	CONCEPT	`semidecidable (info \| search),` `finite_infinite (info \| search)`
	WORLD	`recursive_boxes_bp [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP1080

Image of a Bongard Problem vs. other image.

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	COMMENTS	`Various formats of Bongard Problems frequently seen on the OEBP are showcased on the left side here.`
	CROSSREFS	`See BP968, which distinguishes solvable Bongard Problems from other images still formatted like Bongard Problems (as opposed to this page, which distinguishes Bongard Problems from any other images.)` `Adjacent-numbered pages: BP1075 BP1076 BP1077 BP1078 BP1079 * BP1081 BP1082 BP1083 BP1084 BP1085`
	KEYWORD	`notso, teach, left-narrow, right-null`
	CONCEPT	`bongard_problem (info \| search),` `categorization (info \| search)`
	AUTHOR	`Leo Crabbe`

BP1081

Left is an open subset of the rational numbers vs. not so.

	BP1047^↔	BP1048^↔	BP1050^↔	BP1053^↔	BP1044	BP1045
	BP1046	BP1052

	BP1044^↔	BP1045^↔	BP1046^↔	BP1051^↔	BP1052^↔	BP1054^↔
	BP1047	BP1048	BP1050	BP1051	BP1053	BP1054

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

	CROSSREFS	`Adjacent-numbered pages: BP1076 BP1077 BP1078 BP1079 BP1080 * BP1082 BP1083 BP1084 BP1085 BP1086`
	KEYWORD	`meta (see left/right), links, side, wellfounded`
	CONCEPT	`semidecidable (info \| search),` `finite_infinite (info \| search)`
	WORLD	`outline_or_fill_circle_bp_clear_set_of_ratios [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP1082

Shapes are congruent if (and only if) they are enclosed in the same space vs. not so.

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

	CROSSREFS	`Adjacent-numbered pages: BP1077 BP1078 BP1079 BP1080 BP1081 * BP1083 BP1084 BP1085 BP1086 BP1087`
	KEYWORD	`stub, precise, allsorted`
	CONCEPT	`iff (info \| search)`
	AUTHOR	`Leo Crabbe`

BP1083

Image of Bongard Problem where each left example corresponds intuitively to a right example vs. image of Bongard Problem whose examples do not share this correlation.

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

	CROSSREFS	`See BP919 for the version with links to pages on the OEBP instead of images of Bongard Problems.` `Adjacent-numbered pages: BP1078 BP1079 BP1080 BP1081 BP1082 * BP1084 BP1085 BP1086 BP1087 BP1088`
	KEYWORD	`teach, meta (see left/right), miniproblems, presentationinvariant`
	WORLD	`boxes_bpimage [smaller \| same \| bigger]`
	AUTHOR	`Leo Crabbe`

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`

BP1085

More triangles on the right vs. more triangles on the left.

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

	CROSSREFS	`Adjacent-numbered pages: BP1080 BP1081 BP1082 BP1083 BP1084 * BP1086 BP1087 BP1088 BP1089 BP1090`
	KEYWORD	`stub, dual, handed, leftright`
	AUTHOR	`Aaron David Fairbanks`

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`

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`

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`

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