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- Title
Symmetries and color symmetries of a family of tilings with a singular point.
- Authors
Evidente, Imogene F.; Felix, Rene P.; Loquias, Manuel Joseph C.
- Abstract
Tilings with a singular point are obtained by applying conformal maps on regular tilings of the Euclidean plane and their symmetries are determined. The resulting tilings are then symmetrically colored by applying the same conformal maps on colorings of regular tilings arising from sublattice colorings of the centers of the tiles. In addition, conditions are determined in order that the coloring of a tiling with singularity that is obtained in this manner is perfect.
- Subjects
COLOR symmetries (Particle physics); TILING (Mathematics); EUCLIDEAN geometry
- Publication
Acta Crystallographica. Section A, Foundations & Advances, 2015, Vol 71, Issue 6, p583
- ISSN
2053-2733
- Publication type
Article
- DOI
10.1107/S2053273315016137