The On-Line Encyclopedia of Bongard Problems

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Tetrahedron projected on the box plane vs. not so.

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	CROSSREFS	`Adjacent-numbered pages: BP245 BP246 BP247 BP248 BP249 * BP251 BP252 BP253 BP254 BP255`
	KEYWORD	`stretch, traditional, left-couldbe`
	CONCEPT	`number (info \| search),` `3d_solid (info \| search),` `imagined_point (info \| search),` `imagined_line_or_curve (info \| search),` `imagined_entity (info \| search)`
	AUTHOR	`Andreas Gunnarsson`

Tetrahedron projected on the box plane vs. not so.

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	CROSSREFS	`Adjacent-numbered pages: BP246 BP247 BP248 BP249 BP250 * BP252 BP253 BP254 BP255 BP256`
	KEYWORD	`traditional`
	CONCEPT	`3d_solid (info \| search)`
	AUTHOR	`Andreas Gunnarsson`

Image of something 2-D vs. image of something 3-D.

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	CROSSREFS	`Adjacent-numbered pages: BP326 BP327 BP328 BP329 BP330 * BP332 BP333 BP334 BP335 BP336`
	KEYWORD	`abstract, anticomputer, collective, traditional, dithering`
	CONCEPT	`dimensionality (info \| search),` `3d_solid (info \| search)`
	AUTHOR	`Aaron David Fairbanks`

Gluing sides with the same symbols makes a sphere vs. gluing sides with the same symbols makes a torus.

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	CROSSREFS	`Adjacent-numbered pages: BP365 BP366 BP367 BP368 BP369 * BP371 BP372 BP373 BP374 BP375`
	KEYWORD	`math`
	CONCEPT	`topological_transformation (info \| search),` `3d_solid (info \| search),` `imagined_motion (info \| search),` `motion (info \| search)`
	AUTHOR	`Aaron David Fairbanks`

Net (folding along edges can make a 3D solid) vs. not a net.

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	CROSSREFS	`Adjacent-numbered pages: BP366 BP367 BP368 BP369 BP370 * BP372 BP373 BP374 BP375 BP376`
	KEYWORD	`nice`
	CONCEPT	`3d_net (info \| search),` `3d_solid (info \| search)`
	WORLD	`polygon_outlines_sharing_edges [smaller \| same \| bigger] zoom in left (polyhedron_net)`
	AUTHOR	`Aaron David Fairbanks`

Black shape is a valid shadow (2D projection) of 3D shape vs. not so.

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	CROSSREFS	`Adjacent-numbered pages: BP895 BP896 BP897 BP898 BP899 * BP901 BP902 BP903 BP904 BP905`
	KEYWORD	`3d, orderedpair`
	CONCEPT	`3d_solid (info \| search),` `projection (info \| search)`
	AUTHOR	`Leo Crabbe`

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`

Identical pairs of symbols are always on opposite sides of the cube (when assembled) vs. some identical symbols are next to each other on the cube.

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	CROSSREFS	`Adjacent-numbered pages: BP1264 BP1265 BP1266 BP1267 BP1268 *`
	KEYWORD	`left-finite, right-finite, finishedexamples, preciseworld`
	CONCEPT	`cube (info \| search),` `correspondence (info \| search),` `3d_net (info \| search),` `3d_solid (info \| search)`
	AUTHOR	`Leo Crabbe`

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