Article,

A Guide to the Symmetry Structure of Quasiperiodic Tiling Classes

, , and .
J. Phys. France, (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.

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