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BP335 Tessellates the plane vs. does not tessellate the plane.
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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

BP811 Archimedean tiling (regular polygons, all vertices look the same) versus two-uniform tiling (regular polygons, two different kinds of vertex).
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP806 BP807 BP808 BP809 BP810  *  BP812 BP813 BP814 BP815 BP816

KEYWORD

nice, math

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

WORLD

wallpaper_tiling [smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

BP863 Two shapes can tessellate the plane together vs. not so.
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP858 BP859 BP860 BP861 BP862  *  BP864 BP865 BP866 BP867 BP868

KEYWORD

nice, precise, allsorted, math, hardsort, creativeexamples, unorderedpair

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

WORLD

2_shapes [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

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