Nonperiodicity implies unique composition for self-similar translationally finite Tilings |
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Authors: | B Solomyak |
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Institution: | (1) Department of Mathematics, Box 354350, University of Washington, Seattle, WA 98195-4350, USA solomyak@math.washington.edu, US |
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Abstract: | Let be a translationally finite self-similar tiling of R
d
. We prove that if is nonperiodic, then it has the unique composition property. More generally, has the unique composition property modulo the group of its translation symmetries.
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<onlinepub>7 August, 1998
<editor>Editors-in-Chief: &lsilt;a href=../edboard.html#chiefs&lsigt;Jacob E. Goodman, Richard Pollack&lsilt;/a&lsigt;
<pdfname>20n2p265.pdf
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Received August 7, 1996, and in revised form December 18, 1996. |
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