Nonperiodicity implies unique composition for self-similar translationally finite tilings

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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.

Original languageEnglish
Pages (from-to)265-279
Number of pages15
JournalDiscrete and Computational Geometry
Volume20
Issue number2
DOIs
StatePublished - Sep 1998
Externally publishedYes

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