Ten colours in quasiperiodic and regular hyperbolic tilings

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.

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

References in corpus (2)

• Bravais colourings of planar modules with N-fold symmetry
• Coincidence rotations of the root lattice $A_4$