Semi-perfect colourings of hyperbolic tilings

• Main Authors: De Las Peñas, Ma. Louise Antonette N, Felix, Rene P, Gozo, Beaunonie R, Jr, Laigo, Glenn R
• Format: text
• Published: Archīum Ateneo 2011
• Subjects: semi-perfect colouring; colour symmetry; colour group; hyperbolic tiling; Mathematics
• Online Access: https://archium.ateneo.edu/mathematics-faculty-pubs/102; https://www.tandfonline.com/doi/full/10.1080/14786435.2010.524901?casa_token=BnEw4NIKPCMAAAAA%3AKvw64pacgz9qKiGvhaDQ0ghSrjC0hgqF3DjqOwJDUhL8sJBAi4QvnAQi15gcEZLE8ieSymYMZLjiLw
• Institution: Ateneo De Manila University

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 tilin...