Semi-perfect colourings of hyperbolic tilings

Abstract

If G is the symmetry group of an uncoloured tiling, then a colouring of the tiling is semi-perfect if the associated colour group is a subgroup of G of index 2. Results are presented that show how to identify and construct semi-perfect colourings of symmetrical tilings. Semi-perfectly coloured tilings that emerge from the hyperbolic semi-regular tiling 8·10·16 are reported.

Keywords:

• semi-perfect colouring
• colour symmetry
• colour group
• hyperbolic tiling

Acknowledgement

Ma. Louise de Las Peñas and Glenn Laigo would like to acknowledge funding support of the Ateneo de Manila University through the Loyola Schools Scholarly Work Faculty Grant.