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Article
Semi-perfect colourings of hyperbolic tilings
Mathematics Faculty Publications
  • Ma. Louise Antonette N De Las Peñas, Ateneo de Manila University
  • Rene P Felix, University of the Philippines Diliman
  • Beaunonie R Gozo, Jr
  • Glenn R Laigo
Document Type
Article
Publication Date
1-1-2011
Disciplines
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.

Citation Information
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