Joachim Hermisson, Christoph Richard and Michael Baake
A Guide to the Symmetry Structure of Quasiperiodic Tiling Classes
(409K, gzipped postscript)

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.