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Zeitschrift für Kristallographie - Crystalline Materials

Ed. by Antipov, Evgeny / Bismayer, Ulrich / Huppertz, Hubert / Petrícek, Václav / Pöttgen, Rainer / Schmahl, Wolfgang / Tiekink, E. R. T. / Zou, Xiaodong

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Color groups associated with square and hexagonal lattices

Ma. Louise Antonette de Las Peñas / Rene P. Felix

Citation Information: Zeitschrift für Kristallographie. Volume 222, Issue 10, Pages 505–512, ISSN (Print) 0044-2968, DOI: 10.1524/zkri.2007.222.10.505, September 2009

Publication History

Received:
2007-01-04
Accepted:
2007-05-30
Published Online:
2009-09-25

In this paper, we obtain the list of all color groups associated with a coloring of a square or hexagonal lattice Λ arising from sublattices of Λ. The results are obtained using a canonical representation of a sublattice L of Λ by a 2 × 2 matrix and no restriction on whether L is compatible or not with Λ is imposed.

Keywords: Lattices; Color groups; Color symmetry

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