Document Type
Article
Publication Date
7-2018
Abstract
This work introduces the idea of symmetry order, which describes the rotational symmetry types of tilings in the hull of a given substitution. Definitions are given of the substitutions σ6 and σ7 which give rise to aperiodic primitive substitution tilings with dense tile orientations and which are invariant under six- and sevenfold rotations, respectively; the derivation of the symmetry orders of their hulls is also presented.
Recommended Citation
Say-Awen, April Lynne D.; De Las Peñas, Ma. Louise Antonette N.; and Frettlöh, Dirk, (2018). Primitive substitution tilings with rotational symmetries. Archīum.ATENEO.
https://archium.ateneo.edu/mathematics-faculty-pubs/16