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Article
k -Isocoronal tilings
Mathematics Faculty Publications
  • Eduard C Taganap
  • Ma. Louise Antonette N De Las Peñas, Ateneo de Manila University
Document Type
Article
Publication Date
1-1-2019
Abstract

In this article, a framework is presented that allows the systematic derivation of planar edge-to-edge k-isocoronal tilings from tile-s-transitive tilings, s k. A tiling T is k-isocoronal if its vertex coronae form k orbits or k transitivity classes under the action of its symmetry group. The vertex corona of a vertex x of T is used to refer to the tiles that are incident to x. The k-isocoronal tilings include the vertex-k-transitive tilings (k-isogonal) and k-uniform tilings. In a vertex-k- transitive tiling, the vertices form k transitivity classes under its symmetry group. If this tiling consists of regular polygons then it is k-uniform. This article also presents the classification of isocoronal tilings in the Euclidean plane.

Citation Information
Taganap, E., & De Las Peñas, M. L. A. (2019). k-Isocoronal tilings. Acta Crystallographica Section A: Foundations and Advances, 75(1), 94-106.