login
Hints
(Greetings from The On-Line Encyclopedia of Bongard Problems!)
Search: concept:3d_net
Displaying 1-5 of 5 results found.     page 1
     Sort: id      Format: long      Filter: (all | no meta | meta)      Mode: (words | no words)
BP371 Net (folding along edges can make a 3D solid) vs. not a net.
(edit; present; nest [left/right]; search; history)
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

BP385 Nets of cubes vs. not nets of cubes.
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP380 BP381 BP382 BP383 BP384  *  BP386 BP387 BP388 BP389 BP390

KEYWORD

nice, notso, left-finite, traditional

CONCEPT 3d_net (info | search)

WORLD

square_outlines_sharing_edges [smaller | same | bigger]
zoom in left (cube_net)

AUTHOR

Jago Collins

BP993 Net corresponds do a unique solid vs. net can be folded into multiple different solids.
(edit; present; nest [left/right]; search; history)
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

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

BP1269 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.
(edit; present; nest [left/right]; search; history)
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

    page 1

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