AFFINE SYMMETRY SEMI-GROUPS FOR QUASI-CRYSTALS

Authors
BARACHE D DEBIEVRE S GAZEAU JP
Citation
D. Barache et al., AFFINE SYMMETRY SEMI-GROUPS FOR QUASI-CRYSTALS, Europhysics letters, 25(6), 1994, pp. 435-440
Citations number
7
Categorie Soggetti
Physics
Journal title
Europhysics letters → ACNP
ISSN journal
02955075
Volume
25
Issue
6
Year of publication
1994
Pages
435 - 440
Database
ISI
SICI code
0295-5075(1994)25:6<435:ASSFQ>2.0.ZU;2-R
Abstract
We show how to build up a one-dimensional quasi-crystal by successive geometrical actions on one of its points. Those actions can be reflect ions (and rotations in higher-dimensional space), dilations (inflation ), and combined translation-dilations. They form a discrete affine sem i-group freely generated by a minimal finite set.