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Search: subworld:polyhedron_net
Displaying 1-4 of 4 results found.     page 1
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BP854 Nothing vs. nothing.
(edit; present; nest [left/right]; search; history)
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

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

BP996 Net corresponds to a convex solid vs. net corresponds to a concave solid.
(edit; present; nest [left/right]; search; history)
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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