J. Phys. I France
Volume 7, Numéro 8, August 1997
Page(s) 1003 - 1018
DOI: 10.1051/jp1:1997200
J. Phys. I France 7 (1997) 1003-1018

A Guide to the Symmetry Structure of Quasiperiodic Tiling Classes

Joachim Hermisson, Christoph Richard and Michael Baake

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)

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.

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