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Search: ex:EX6172
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BP335 Tessellates the plane vs. does not tessellate the plane.
(edit; present; nest [left/right]; search; history)
COMMENTS

EX7152 is an example of a shape than can be stretched in such a way that it no longer tessellates the plane. This is a property that is only exhibited by shapes that tessellate with rotated copies of themselves. - Leo Crabbe, Mar 05 2021

CROSSREFS

Adjacent-numbered pages:
BP330 BP331 BP332 BP333 BP334  *  BP336 BP337 BP338 BP339 BP340

KEYWORD

nice, stretch, unstable, math, hardsort, creativeexamples, proofsrequired, perfect, pixelperfect, traditional

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

WORLD

shape [smaller | same | bigger]
zoom in left (fill_shape)

AUTHOR

Aaron David Fairbanks

BP820 Shape can be combined with a copy of itself to form a convex shape vs. not so.
(edit; present; nest [left/right]; search; history)
CROSSREFS

For the generalization of this property, see BP991.



Adjacent-numbered pages:
BP815 BP816 BP817 BP818 BP819  *  BP821 BP822 BP823 BP824 BP825

KEYWORD

nice, precise, allsorted

CONCEPT tiling (info | search)

WORLD

fill_shape [smaller | same | bigger]
zoom in left

AUTHOR

Isaac Hathaway

BP991 Can be arranged with multiple copies of itself to form some convex shape vs. not so.
(edit; present; nest [left/right]; search; history)
CROSSREFS

This is a generalization of BP820.

Adjacent-numbered pages:
BP986 BP987 BP988 BP989 BP990  *  BP992 BP993 BP994 BP995 BP996

KEYWORD

precise, allsorted, perfect

CONCEPT tiling (info | search)

WORLD

fill_shape [smaller | same | bigger]
zoom in left

AUTHOR

Leo Crabbe

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