Semi-perfect colourings of hyperbolic tilings

Semi-perfect colourings of hyperbolic tilings

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...

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Bibliographic Details
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
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Institution: Ateneo De Manila University
Description
Summary: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.

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