The On-Line Encyclopedia of Bongard Problems

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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`

BP993

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`

BP991

Can be arranged with multiple copies of itself to form some convex shape vs. not so.

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	CROSSREFS	`This is a generalization of BP820.` `Adjacent-numbered pages: BP986 BP987 BP988 BP989 BP990 * BP992 BP993 BP994 BP995 BP996`
	KEYWORD	`precise, allsorted, perfect`
	CONCEPT	`tiling (info \| search)`
	WORLD	`fill_shape [smaller \| same \| bigger] zoom in left`
	AUTHOR	`Leo Crabbe`

BP990

The center of mass can "see" (in straight lines) all points within the shape vs. the center of mass is not located in a region where it can see (in straight lines) all points.

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	COMMENTS	`Another way of thinking about the solution is considering whether a light source placed at the center of mass of a given example would illuminate the whole shape.`
	CROSSREFS	`Every left for this Problem would be will be a left example for both BP367 and BP368.` `Adjacent-numbered pages: BP985 BP986 BP987 BP988 BP989 * BP991 BP992 BP993 BP994 BP995`
	KEYWORD	`convoluted, perfect`
	CONCEPT	`inside (info \| search),` `center_of_mass (info \| search),` `imagined_point (info \| search),` `imagined_line_or_curve (info \| search),` `imagined_entity (info \| search)`
	WORLD	`fill_shape_seeing_point_center_of_mass_inside [smaller \| same \| bigger]`
	AUTHOR	`Leo Crabbe`

BP987

Solution could appear in a Bongard Problem featuring an image of itself on either of its sides vs. solution can appear in a Bongard Problem featuring an image of itself on a certain side only.

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	COMMENTS	`All examples are Bongard Problems fitting left in BP954.` `This is very close to BP927, specialized to Bongard Problems fitting left in BP954. The difference is that a Bongard Problem solution would fit left in BP927 but right here if it can sort images of it on both sides, but it is impossible to make an image of it fractally including itself on a certain side. An example is EX7997.` `Meta Bongard Problems appearing in BP793 that are presentationinvariant necessarily fit right here.`
	CROSSREFS	`Adjacent-numbered pages: BP982 BP983 BP984 BP985 BP986 * BP988 BP989 BP990 BP991 BP992`
	KEYWORD	`abstract, meta (see left/right), miniproblems, creativeexamples, assumesfamiliarity, structure, presentationinvariant, visualimagination`
	CONCEPT	`fractal (info \| search),` `recursion (info \| search),` `self-reference (info \| search)`
	AUTHOR	`Leo Crabbe`

BP980

Bongard Problem with solution relating to concept: choice vs. Bongard Problem unrelated to this concept.

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	CROSSREFS	`Adjacent-numbered pages: BP975 BP976 BP977 BP978 BP979 * BP981 BP982 BP983 BP984 BP985`
	KEYWORD	`meta (see left/right), links, metaconcept`
	CONCEPT	`This MBP is about BPs that feature concept: "choice"`
	WORLD	`bp [smaller \| same \| bigger]`
	AUTHOR	`Leo Crabbe`

BP976

Bongard Problems that use color in their examples vs. black and white Bongard Problems.

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	COMMENTS	`Left examples have the keyword "color" on the OEBP.`
	CROSSREFS	`Adjacent-numbered pages: BP971 BP972 BP973 BP974 BP975 * BP977 BP978 BP979 BP980 BP981`
	KEYWORD	`meta (see left/right), links, keyword, wellfounded`
	WORLD	`visualbp [smaller \| same \| bigger]`
	AUTHOR	`Leo Crabbe`

BP962

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`

BP959

This image of this Bongard Problem vs. empty image.

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	CROSSREFS	`See BP953, BP902.` `Adjacent-numbered pages: BP954 BP955 BP956 BP957 BP958 * BP960 BP961 BP962 BP963 BP964`
	KEYWORD	`meta (see left/right), miniproblems, left-finite, right-finite, left-full, right-full, right-null, perfect, infinitedetail, finished, experimental, funny`
	CONCEPT	`fractal (info \| search),` `recursion (info \| search),` `self-reference (info \| search)`
	WORLD	`zoom in left \| zoom in right (blank_image)`
	AUTHOR	`Aaron David Fairbanks, Leo Crabbe`

BP957

Images of Bongard Problems that sort an image of their left side on their left and an image of their right side on their right vs. images of Bongard Problems that sort an image of their left side on their right and an image of their right side on their left.

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	CROSSREFS	`See also BP955 for the other two evident possibilities.` `Adjacent-numbered pages: BP952 BP953 BP954 BP955 BP956 * BP958 BP959 BP960 BP961 BP962`
	KEYWORD	`nice, abstract, solved, meta (see left/right), miniproblems, creativeexamples, assumesfamiliarity, structure, experimental`
	CONCEPT	`self-reference (info \| search)`
	WORLD	`oblong_panels_bpimage_sorts_both_sides_balanced [smaller \| same \| bigger] zoom in left (oblong_panels_bpimage_sorts_both_sides_stay) \| zoom in right (oblong_panels_bpimage_sorts_both_sides_swap)`
	AUTHOR	`Leo Crabbe`

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