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Combinatorial aspects of colour symmetries

Michael Baake 1997 J. Phys. A: Math. Gen. 30 2687-2698   doi: 10.1088/0305-4470/30/8/015  Help

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Michael Baake
Institut für Theoretische Physik, Universität Tübingen, Auf der Morgenstelle 14, D-72076 Tübingen, Germany
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Received 6 November 1996
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Dedicated to Reinhard Lück on the occasion of his 60th birthday.

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.

Print publication: Issue 8 (21 April 1997)

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