login
Hints
(Greetings from The On-Line Encyclopedia of Bongard Problems!)
Search: world:polyhedron_net
Displaying 1-2 of 2 results found.     page 1
     Sort: id      Format: long      Filter: (all | no meta | meta)      Mode: (words | no words)
BP993 Net corresponds do a unique solid vs. net can be folded into multiple different solids.
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP988 BP989 BP990 BP991 BP992  *  BP994 BP995 BP996 BP997 BP998

KEYWORD

stub, precise, 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

BP994 Net corresponds to a solid that can tessellate 3D space vs. net does not correspond to a solid that can tessellate 3D space.
?
(edit; present; nest [left/right]; search; history)
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

    page 1

Welcome | Solve | Browse | Lookup | Recent | Links | Register | Contact
Contribute | Keywords | Concepts | Worlds | Ambiguities | Transformations | Invalid Problems | Style Guide | Goals | Glossary