Nonperiodicity implies unique composition for self-similar translationally finite tilings

B. Solomyak

doi:10.1007/PL00009386

Nonperiodicity implies unique composition for self-similar translationally finite tilings

B. Solomyak

University of Washington

Research output: Contribution to journal › Article › peer-review

112 Scopus citations

Abstract

Let T be a translationally finite self-similar tiling of R^d We prove that if T is nonperiodic, then it has the unique composition property. More generally, T has the unique composition property modulo the group of its translation symmetries.

Original language	English
Pages (from-to)	265-279
Number of pages	15
Journal	Discrete and Computational Geometry
Volume	20
Issue number	2
DOIs	https://doi.org/10.1007/PL00009386
State	Published - Sep 1998
Externally published	Yes

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title = "Nonperiodicity implies unique composition for self-similar translationally finite tilings",

abstract = "Let T be a translationally finite self-similar tiling of Rd We prove that if T is nonperiodic, then it has the unique composition property. More generally, T has the unique composition property modulo the group of its translation symmetries.",

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Nonperiodicity implies unique composition for self-similar translationally finite tilings

Abstract

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