Combinatorial aspects of colour symmetries

Published under licence by IOP Publishing Ltd
, , Citation Michael Baake 1997 J. Phys. A: Math. Gen. 30 2687 DOI 10.1088/0305-4470/30/8/015

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1 Institut für Theoretische Physik, Universität Tübingen, Auf der Morgenstelle 14, D-72076 Tübingen, Germany

2 Received 6 November 1996

3 Dedicated to Reinhard Lück on the occasion of his 60th birthday.

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Abstract

The problem of colour symmetries of crystals and quasicrystals is investigated from its combinatorial point of view. For various lattices and modules in two and three dimensions, the number of colourings compatible with point and translation symmetry is given in terms of Dirichlet series generating functions.

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