On Color Groups of Bravais Colorings of Planar Modules with Quasicrystallographic Symmetries

• Main Authors: Bugarin, Enrico Paolo, De Las Peñas, Ma. Louise Antonette N, Evidente, Imogene F, Felix, Rene P, Frettlöh, Dirk
• Format: text
• Published: Archīum Ateneo 2008
• Subjects: Color groups; Lattices; Planar modules; Quasicrystals; Cyclotomic fields; Mathematics
• Online Access: https://archium.ateneo.edu/mathematics-faculty-pubs/104; https://www.degruyter.com/view/journals/zkri/223/11-12/article-p785.xml?tab_body=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 sublattice...