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Combinatorial aspects of colour symmetries

Michael Baake

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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.


PACS

02.10.Ox Combinatorics; graph theory

05.50.+q Lattice theory and statistics (Ising, Potts, etc.)

61.44.Br Quasicrystals

02.20.-a Group theory

MSC

20B30 Symmetric groups

05A15 Exact enumeration problems, generating functions (See also 33Cxx, 33Dxx)

82D25 Crystals (For crystallographic group theory, see 20H15)

Subjects

Mathematical physics

Condensed matter: structural, mechanical & thermal

Statistical physics and nonlinear systems

Dates

Issue 8 (21 April 1997)



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