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Search: ex:EX6350
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BP528 Highly iterated fractal vs. fractal after only few iterations.
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP523 BP524 BP525 BP526 BP527  *  BP529 BP530 BP531 BP532 BP533

KEYWORD

world, contributepairs

CONCEPT fractal (info | search)

WORLD

zoom in left (fractal)

AUTHOR

Aaron David Fairbanks

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

BP1118 Self-similar only scaled about one point vs. multiple centers of self-similarity.
(edit; present; nest [left/right]; search; history)
COMMENTS

There is only ever one such center of self-similarity or infinitely many.

CROSSREFS

Adjacent-numbered pages:
BP1113 BP1114 BP1115 BP1116 BP1117  *  BP1119 BP1120 BP1121 BP1122 BP1123

KEYWORD

nice, perfect, infinitedetail

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

WORLD

[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

BP1237 Connected fractal vs. disconnected fractal.
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP1232 BP1233 BP1234 BP1235 BP1236  *  BP1238 BP1239 BP1240 BP1241 BP1242

KEYWORD

notso, perfect, infinitedetail

CONCEPT connected_component (info | search),
fractal (info | search)

WORLD

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

AUTHOR

Jago Collins

BP1238 Fractal with hole vs. fractal with no hole (simply connected).
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP1233 BP1234 BP1235 BP1236 BP1237  *  BP1239 BP1240 BP1241 BP1242 BP1243

KEYWORD

notso, perfect, infinitedetail

CONCEPT existence (info | search),
fractal (info | search),
hole (info | search),
loop (info | search)

WORLD

connected_fractal_self_tile [smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

BP1239 Fractal topologically closed (each white point has a neighborhood of pure white surrounding it) vs. not
(edit; present; nest [left/right]; search; history)
COMMENTS

It isn't possible to unambiguously communicate whether or not a few specific points are missing.

CROSSREFS

Adjacent-numbered pages:
BP1234 BP1235 BP1236 BP1237 BP1238  *  BP1240 BP1241 BP1242 BP1243 BP1244

KEYWORD

notso, perfect, infinitedetail

CONCEPT fractal (info | search)

AUTHOR

Aaron David Fairbanks

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