| Issue |
J. Phys. I France
Volume 7, Number 8, August 1997
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|
|---|---|---|
| Page(s) | 1003 - 1018 | |
| DOI | https://doi.org/10.1051/jp1:1997200 | |
DOI: 10.1051/jp1:1997200
J. Phys. I France 7 (1997) 1003-1018
Institut für Theoretische Physik, Universität Tübingen, Auf der Morgenstelle 14, 72076 Tübingen, Germany
(Received 12 November 1996, revised 10 April 1997, accepted le 21 April 1997)
© Les Editions de Physique 1997
J. Phys. I France 7 (1997) 1003-1018
A Guide to the Symmetry Structure of Quasiperiodic Tiling Classes
Joachim Hermisson, Christoph Richard and Michael BaakeInstitut für Theoretische Physik, Universität Tübingen, Auf der Morgenstelle 14, 72076 Tübingen, Germany
(Received 12 November 1996, revised 10 April 1997, accepted le 21 April 1997)
Abstract
Based upon the torus parametrization which was introduced recently, we present a recipe allowing for a complete analysis of
the symmetry structure of quasiperiodic local isomorphism classes in one and two dimensions. A number of results is provided
explicitly, including some widely used planar tiling classes with 8-, 10- and 12-fold rotational symmetry.
© Les Editions de Physique 1997