Lattice Color Groups of Quasicrystals

Abstract

Lattice color groups are introduced and used to study the partitioning of a periodically- or quasiperiodically-ordered set of points into N symmetry-related subsets. Applications range from magnetic structure to superlattice ordering in periodic and quasiperiodic crystals.

arXiv comment5 pages, 1 color figure. Uses World Scientific style file: sprocl.sty. Final version to appear in the Proceedings of the 6th International Conference on Quasicrystals, Tokyo, Japan, May 26-30, 1997

Cited by in corpus (3)

• Bravais colourings of planar modules with N-fold symmetry
• Colourings of planar quasicrystals
• Invariant Submodules and Semigroups of Self-Similarities for Fibonacci Modules