Semi-perfect colourings of hyperbolic tilings

Authors

Ma. Louise Antonette N. De Las Peñas, Ateneo de Manila UniversityFollow
Rene P. Felix, University of the Philippines Diliman
Beaunonie R. Gozo Jr
Glenn R. Laigo

Document Type

Article

Publication Date

2011

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.

Recommended Citation

Ma. Louise Antonette N. de Las Peñas, Rene P. Felix, Beaunonie R. Gozo Jr & Glenn R. Laigo (2011) Semi-perfect colourings of hyperbolic tilings, Philosophical Magazine, 91:19-21, 2700-2708, DOI: 10.1080/14786435.2010.524901