The On-Line Encyclopedia of Bongard Problems

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BP1068

Every nonempty region has two boxes vs. not so.

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

	CROSSREFS	`Adjacent-numbered pages: BP1063 BP1064 BP1065 BP1066 BP1067 * BP1069 BP1070 BP1071 BP1072 BP1073`
	KEYWORD	`arbitrary, perfect, infinitedetail`
	CONCEPT	`fractal (info \| search),` `recursion (info \| search),` `self-reference (info \| search),` `two (info \| search)`
	WORLD	`recursive_boxes [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP1069

Infinitely many branches vs. finitely many branches.

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

	CROSSREFS	`Adjacent-numbered pages: BP1064 BP1065 BP1066 BP1067 BP1068 * BP1070 BP1071 BP1072 BP1073 BP1074`
	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`

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`

BP1072

Filled subsection is largest square that divides the grid vs. not so

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

	REFERENCE	`https://en.wikipedia.org/wiki/Greatest_common_divisor`
	CROSSREFS	`Any example in this BP is a left example of BP1057.` `Adjacent-numbered pages: BP1067 BP1068 BP1069 BP1070 BP1071 * BP1073 BP1074 BP1075 BP1076 BP1077`
	KEYWORD	`grid, left-listable, right-listable`
	CONCEPT	`division (info \| search)`
	WORLD	`[smaller \| same \| bigger]`
	AUTHOR	`Jago Collins`

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`

BP1080

Image of a Bongard Problem vs. other image.

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

	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`

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`

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`

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