NONPERIODICITY IMPLIES UNIQUE COMPOSITION FOR SELF-SIMILAR TRANSLATIONALLY FINITE TILINGS

Authors
SOLOMYAK B
Citation
B. Solomyak, NONPERIODICITY IMPLIES UNIQUE COMPOSITION FOR SELF-SIMILAR TRANSLATIONALLY FINITE TILINGS, Discrete & computational geometry, 20(2), 1998, pp. 265-279
Citations number
16
Categorie Soggetti
Computer Science Theory & Methods",Mathematics,"Computer Science Theory & Methods",Mathematics
Journal title
Discrete & computational geometry → ACNP
ISSN journal
01795376
Volume
20
Issue
2
Year of publication
1998
Pages
265 - 279
Database
ISI
SICI code
0179-5376(1998)20:2<265:NIUCFS>2.0.ZU;2-H
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 module the gro up of its translation symmetries.