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BP1242 Tiled by pair of fractals including itself such that both tile the other vs. tiled by pair of fractals including itself such that the other tiles itself.
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(edit; present; nest [left/right]; search; history)
COMMENTS

Proofs still needed that all the examples on the left hand side cannot fit on the right hand side as well, and that EX9881 cannot fit on the left hand side as well.

CROSSREFS

The left hand side implies the left hand side of BP1116.

The right hand side does not imply the right hand side of BP1116. (EX9881 is meant to be a counterexample.)

Adjacent-numbered pages:
BP1237 BP1238 BP1239 BP1240 BP1241  *  BP1243 BP1244 BP1245 BP1246 BP1247

KEYWORD

unwordable, overriddensolution, perfect, infinitedetail, both, missingproofs

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

AUTHOR

Aaron David Fairbanks

BP1244 Tiled by self-tiling fractal vs. not
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(edit; present; nest [left/right]; search; history)
COMMENTS

Proofs are still needed for examples fitting right.


EX9875 is tiled by Sierpinski triangles, but this requires the Sierpinski triangle tiles' bounding triangles to overlap.

CROSSREFS

Self-tiling fractals (BP532left) are all sorted left.

Adjacent-numbered pages:
BP1239 BP1240 BP1241 BP1242 BP1243  *  BP1245 BP1246 BP1247 BP1248 BP1249

KEYWORD

notso, perfect, infinitedetail, missingproofs

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

AUTHOR

Aaron David Fairbanks

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