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Zeitschrift für Kristallographie - Crystalline Materials

Editor-in-Chief: Pöttgen, Rainer

Ed. by Antipov, Evgeny / Bismayer, Ulrich / Boldyreva, Elena V. / Huppertz, Hubert / Petrícek, Václav / Tiekink, E. R. T.

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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

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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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Manuel Joseph C. Loquias and Peter Zeiner
Philosophical Magazine, 2011, Volume 91, Number 19-21, Page 2680
Enrico Paolo C. Bugarin, Ma. Louise Antonette N. De Las Peñas, Imogene F. Evidente, Rene P. Felix, and Dirk Frettloeh
Zeitschrift für Kristallographie, 2008, Volume 223, Number 11-12

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