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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

BP386 Lower shape can be used as a tile to build the upper one vs. not so.
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP381 BP382 BP383 BP384 BP385  *  BP387 BP388 BP389 BP390 BP391

KEYWORD

nice, precise, allsorted, left-narrow, perfect, pixelperfect, orderedpair, traditional, preciseworld, left-listable, right-listable

CONCEPT tiling (info | search)

AUTHOR

Jago Collins

BP532 Self-tiling fractal using one size of tile vs. does not tile itself with a single size of itself.
(edit; present; nest [left/right]; search; history)
CROSSREFS

This is BP344 ("rep-tiles") but for fractals.

See BP1119 for the version with multiple different sizes of tile allowed.

Adjacent-numbered pages:
BP527 BP528 BP529 BP530 BP531  *  BP533 BP534 BP535 BP536 BP537

KEYWORD

hardsort, proofsrequired, perfect, infinitedetail, contributepairs

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

WORLD

[smaller | same | bigger]
zoom in left (fractal_self_tile)

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

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