Regensburg 2010 – scientific programme

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MM: Fachverband Metall- und Materialphysik

MM 23: Quasicrystals

MM 23.3: Talk

Tuesday, March 23, 2010, 12:15–12:30, H5

Binary Tilings with n-fold Symmetry — •Johannes Roth — ITAP, Universität Stuttgart

In the field of quasicrystals, binary tilings are rhombus tilings with vertices decorated alternatively with large and small atoms. Binary tilings have played an important role in computer simulations of decagonal quasicrystals, for example in the study of the properties of random tilings, dislocations, cracks and so on.

In this contribution we study the possibility to generalize the decagonal case to arbitrary rotational symmetries. Basically it is easy to show that a generalization is possible in many cases, but our purpose is to find tilings with nice properties, especially for example Bragg reflection.