Colourings of planar quasicrystals
arXiv:cond-mat/0110654 · doi:10.1016/S0925-8388(02)00171-8
Abstract
The investigation of colour symmetries for periodic and aperiodic systems consists of two steps. The first concerns the computation of the possible numbers of colours and is mainly combinatorial in nature. The second is algebraic and determines the actual colour symmetry groups. Continuing previous work, we present the results of the combinatorial part for planar patterns with n-fold symmetry, where n=7,9,15,16,20,24. This completes the cases with values of n such that Euler's totient function of n is less than or equal to eight.
arXiv commentTalk presented by Max Scheffer at Quasicrystals 2001, Sendai (September 2001). 6 pages, including two colour figures
References in corpus (1)
Cited by in corpus (6)
- Bravais colourings of planar modules with N-fold symmetry
- Combinatorial problems of (quasi-)crystallography
- Colourings of lattices and coincidence site lattices
- Perfect colourings of cyclotomic integers
- Color groups of colorings of -planar modules
- On Bravais Colorings Associated with Periodic and Non-Periodic Crystals