On Color Groups of Bravais Colorings of Planar Modules with Quasicrystallographic Symmetries
Document Type
Article
Publication Date
2008
Abstract
In this work we study the color symmetries pertaining to colorings of Mn = Z[ξ], where ξ = exp (2πi/n) for n ∈ {5,8,12} which yield standard symmetries of quasicrystals. The first part of the paper treats Mn as a four dimensional lattice Λ with symmetry group G and a result is provided on sublattices of Λ which are invariant under the point group of G. The second part of the paper characterizes the color symmetry groups and color fixing groups corresponding to Bravais colorings of Mn using an approach involving ideals.
Recommended Citation
Bugarin, E. C., N. De Las Peñas, M., Evidente, I. F., Felix, R. P., & Frettloeh, D. (2008). On color groups of Bravais colorings of planar modules with quasicrystallographic symmetries, Zeitschrift für Kristallographie - Crystalline Materials, 223(11-12), 785-790. doi: https://doi.org/10.1524/zkri.2008.1063
