Ten colours in quasiperiodic and regular hyperbolic tilings
Combinatorics
2008-10-30 v1 Group Theory
Abstract
Colour symmetries with ten colours are presented for different tilings. In many cases, the existence of these colourings were predicted by group theoretical methods. Only in a few cases explicit constructions were known, sometimes using combination of two-colour and five-colour symmetries. Here we present explicit constructions of several of the predicted colourings for the first time, and discuss them in contrast to already known colourings with ten colours.
Keywords
Cite
@article{arxiv.0810.5299,
title = {Ten colours in quasiperiodic and regular hyperbolic tilings},
author = {Reinhard Lück and Dirk Frettlöh},
journal= {arXiv preprint arXiv:0810.5299},
year = {2008}
}
Comments
6 pages, 4 b/w figures, 2 colour figures. Due to size/file format restrictions, the image quality is low. Better quality versions can be obtained from the second author