A Guide to the Symmetry Structure of Quasiperiodic Tiling Classes

Joachim Hermisson , Christoph Richard , Michael Baake

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.

Domaines: Articles anciens

Joachim Hermisson, Christoph Richard, Michael Baake. A Guide to the Symmetry Structure of Quasiperiodic Tiling Classes. Journal de Physique I, 1997, 7 (8), pp.1003-1018. ⟨10.1051/jp1:1997200⟩. ⟨jpa-00247374⟩