The On-Line Encyclopedia of Bongard Problems

Search: subworld:polyhedron_net

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Nothing vs. nothing.

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	CROSSREFS	`Adjacent-numbered pages: BP849 BP850 BP851 BP852 BP853 * BP855 BP856 BP857 BP858 BP859`
	KEYWORD	`left-finite, right-finite, left-full, right-full, finished, experimental, funny`
	WORLD	`nothing [same \| bigger] zoom in left (nothing) \| zoom in right (nothing)`
	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`

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