The On-Line Encyclopedia of Bongard Problems

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Includes itself on the left vs. includes itself on the right.

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	COMMENTS	`Some examples are Bongard Problems with this solution.`
	CROSSREFS	`Adjacent-numbered pages: BP956 BP957 BP958 BP959 BP960 * BP962 BP963 BP964 BP965 BP966`
	KEYWORD	`nice, precise, dual, handed, leftright, perfect, infinitedetail, both, neither, preciseworld`
	CONCEPT	`fractal (info \| search),` `recursion (info \| search),` `self-reference (info \| search)`
	AUTHOR	`Aaron David Fairbanks`

White vs. black.

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	CROSSREFS	`Adjacent-numbered pages: BP957 BP958 BP959 BP960 BP961 * BP963 BP964 BP965 BP966 BP967`
	KEYWORD	`precise, allsorted, minimal, dual, blackwhite, gap, left-finite, right-finite, left-full, right-full, left-null, finished, preciseworld, unstableworld`
	WORLD	`[smaller \| same \| bigger] zoom in left (blank_image) \| zoom in right (black_image)`
	AUTHOR	`Leo Crabbe`

Number of dots is a power of 2 vs. not so.

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	COMMENTS	`Numbers of dots on the left can be obtained by repeatedly doubling 1 dot.` `Numbers of dots on the left are the number of corners of a cube in some dimension.`
	CROSSREFS	`Adjacent-numbered pages: BP983 BP984 BP985 BP986 BP987 * BP989 BP990 BP991 BP992 BP993`
	KEYWORD	`stub, precise, allsorted, number, left-narrow, right-null, help, preciseworld`
	WORLD	`dots [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

Number of dots is n factorial for some n vs. not so.

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	COMMENTS	`Zero is intentionally left out to avoid confusion (although it would fit right).`
	CROSSREFS	`Adjacent-numbered pages: BP984 BP985 BP986 BP987 BP988 * BP990 BP991 BP992 BP993 BP994`
	KEYWORD	`stub, precise, number, math, left-narrow, right-null, help, preciseworld`
	WORLD	`dots [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

Net corresponds do a unique solid vs. net can be folded into multiple different solids.

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	COMMENTS	`Right-sorted examples are called common nets.`
	CROSSREFS	`https://en.wikipedia.org/wiki/Common_net` `Adjacent-numbered pages: BP988 BP989 BP990 BP991 BP992 * BP994 BP995 BP996 BP997 BP998`
	KEYWORD	`stub, precise, 3d, perfect, preciseworld`
	CONCEPT	`rigidity (info \| search),` `3d_net (info \| search),` `3d_solid (info \| search),` `convey_enough_information (info \| search)`
	WORLD	`polyhedron_net [smaller \| same \| bigger] zoom in left (polyhedron_net_unique_solid)`
	AUTHOR	`Leo Crabbe`

Net corresponds to a solid that can tessellate 3D space vs. net does not correspond to a solid that can tessellate 3D space.

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	COMMENTS	`More specifically these solids are polyhedra, and are often called "space-filling".` `There is ambiguity here regarding some nets that can be folded to make multiple different solids. For example EX8175 could correspond to a cuboid with a pyramid-like protrusion at each end, a protrusion at one end and an indent at the other, or 2 indents. Only the second of these options can tessellate 3D space. For clarity's sake examples like this are not sorted on either side.`
	CROSSREFS	`Adjacent-numbered pages: BP989 BP990 BP991 BP992 BP993 * BP995 BP996 BP997 BP998 BP999`
	KEYWORD	`stub, precise, 3d, perfect, preciseworld`
	CONCEPT	`3d_net (info \| search),` `3d_solid (info \| search)`
	WORLD	`polyhedron_net [smaller \| same \| bigger]`
	AUTHOR	`Leo Crabbe`

Net corresponds to a convex solid vs. net corresponds to a concave solid.

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	CROSSREFS	`Adjacent-numbered pages: BP991 BP992 BP993 BP994 BP995 * BP997 BP998 BP999 BP1000 BP1001`
	KEYWORD	`precise, 3d, perfect, preciseworld`
	WORLD	`polyhedron_net_unique_solid [smaller \| same \| bigger]`
	AUTHOR	`Leo Crabbe`

There exists a loop that passes through every white square once without passing through the black square vs. there exists no such loop.

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	CROSSREFS	`Adjacent-numbered pages: BP992 BP993 BP994 BP995 BP996 * BP998 BP999 BP1000 BP1001 BP1002`
	KEYWORD	`precise, allsorted, grid, preciseworld, left-listable, right-listable`
	CONCEPT	`path (info \| search)`
	AUTHOR	`James Tanton`

Polygon can be inscribed in a circle vs. not so.

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	CROSSREFS	`Adjacent-numbered pages: BP1006 BP1007 BP1008 BP1009 BP1010 * BP1012 BP1013 BP1014 BP1015 BP1016`
	KEYWORD	`hard, precise, stretch, challenge, left-narrow, perfect, preciseworld`
	CONCEPT	`circle (info \| search),` `imagined_entity (info \| search)`
	WORLD	`fill_polygon [smaller \| same \| bigger]`
	AUTHOR	`Leo Crabbe`

Line segments linking same-coloured dots would intersect vs. not so.

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	CROSSREFS	`This is a less noisy version of BP261.` `Adjacent-numbered pages: BP1012 BP1013 BP1014 BP1015 BP1016 * BP1018 BP1019 BP1020 BP1021 BP1022`
	KEYWORD	`easy, nice, precise, allsorted, perfect, traditional, finishedexamples, preciseworld`
	CONCEPT	`lines_coincide (info \| search),` `imagined_line_or_curve (info \| search),` `imagined_entity (info \| search),` `overlap (info \| search)`
	AUTHOR	`Leo Crabbe`

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