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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

BP1008 The 26th from the left, 63rd from the top pixel is black versus white.
(edit; present; nest [left/right]; search; history)
COMMENTS

This is a typical kind of joke answer people give for Bongard Problems when they cannot find an answer.

CROSSREFS

Adjacent-numbered pages:
BP1003 BP1004 BP1005 BP1006 BP1007  *  BP1009 BP1010 BP1011 BP1012 BP1013

KEYWORD

less, dual, arbitrary, handed, leftright, updown, boundingbox, blackwhite, antihuman, right-null, perfect, pixelperfect, help, experimental, funny, absoluteposition, bordercontent

CONCEPT specificity (info | search)

AUTHOR

Aaron David Fairbanks

BP1011 Polygon can be inscribed in a circle vs. not so.
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP1006 BP1007 BP1008 BP1009 BP1010  *  BP1012 BP1013 BP1014 BP1015 BP1016

KEYWORD

hard, precise, stretch, challenge, left-narrow, perfect, preciseworld

CONCEPT circle (info | search),
imagined_entity (info | search)

WORLD

fill_polygon [smaller | same | bigger]

AUTHOR

Leo Crabbe

BP1012 No tile shares a partial side with another tile vs. not so.
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP1007 BP1008 BP1009 BP1010 BP1011  *  BP1013 BP1014 BP1015 BP1016 BP1017

KEYWORD

precise, allsorted, perfect

CONCEPT infinite_plane (info | search),
tessellation (info | search),
tiling (info | search)

WORLD

wallpaper_tiling_1_polygon [smaller | same | bigger]
zoom in left

AUTHOR

Leo Crabbe

BP1013 Neighbouring tiles share exactly 1 side vs not so.
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP1008 BP1009 BP1010 BP1011 BP1012  *  BP1014 BP1015 BP1016 BP1017 BP1018

KEYWORD

precise, allsorted, perfect

CONCEPT infinite_plane (info | search),
tessellation (info | search),
tiling (info | search)

WORLD

wallpaper_tiling_1_polygon [smaller | same | bigger]
zoom in left

AUTHOR

Leo Crabbe

BP1017 Line segments linking same-coloured dots would intersect vs. not so.
(edit; present; nest [left/right]; search; history)
CROSSREFS

This is a less noisy version of BP261.

Adjacent-numbered pages:
BP1012 BP1013 BP1014 BP1015 BP1016  *  BP1018 BP1019 BP1020 BP1021 BP1022

KEYWORD

easy, nice, precise, allsorted, perfect, traditional, finishedexamples, preciseworld

CONCEPT lines_coincide (info | search),
imagined_line_or_curve (info | search),
imagined_entity (info | search),
overlap (info | search)

AUTHOR

Leo Crabbe

BP1058 Top layer is two vs. not so.
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP1053 BP1054 BP1055 BP1056 BP1057  *  BP1059 BP1060 BP1061 BP1062 BP1063

KEYWORD

arbitrary, perfect, infinitedetail

CONCEPT fractal (info | search),
recursion (info | search),
self-reference (info | search),
specificity (info | search),
two (info | search)

WORLD

recursive_boxes [smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

BP1059 No infinite nesting vs. some infinite nesting.
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP1054 BP1055 BP1056 BP1057 BP1058  *  BP1060 BP1061 BP1062 BP1063 BP1064

KEYWORD

perfect, infinitedetail

CONCEPT finite_infinite (info | search),
fractal (info | search),
recursion (info | search),
self-reference (info | search)

WORLD

recursive_boxes [smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

BP1060 All nonempty boxes have same number of boxes in them vs. not so.
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP1055 BP1056 BP1057 BP1058 BP1059  *  BP1061 BP1062 BP1063 BP1064 BP1065

KEYWORD

perfect, infinitedetail

CONCEPT fractal (info | search),
recursion (info | search),
self-reference (info | search)

WORLD

recursive_boxes [smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

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