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Search: ex:EX8985
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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

BP1108 Solid chunk of black space in neighborhood of any point of the fractal vs. solid chunk of white space in any neighborhood.
?
?
?
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP1103 BP1104 BP1105 BP1106 BP1107  *  BP1109 BP1110 BP1111 BP1112 BP1113

KEYWORD

right-null, perfect, infinitedetail, assumesfamiliarity, neither

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

WORLD

fractal [smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

BP1119 Tiled by finitely many smaller copies of itself (different sizes allowed) vs. not so.
(edit; present; nest [left/right]; search; history)
COMMENTS

These are sometimes called "irreptiles".

CROSSREFS

See BP532 for the version with only one size of tile allowed.

Adjacent-numbered pages:
BP1114 BP1115 BP1116 BP1117 BP1118  *  BP1120 BP1121 BP1122 BP1123 BP1124

KEYWORD

hardsort, proofsrequired, perfect, infinitedetail

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

WORLD

[smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

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