Primitive substitution tilings with rotational symmetries

• Main Authors: Say-Awen, April Lynne D., de Las Peñas, Ma Louise Antonette N., Frettlöh, Dirk
• Format: text
• Published: Animo Repository 2018
• Subjects: Symmetry (Mathematics); Aperiodic tilings; Tiling (Mathematics); Mathematics
• Online Access: https://animorepository.dlsu.edu.ph/faculty_research/1805; https://animorepository.dlsu.edu.ph/context/faculty_research/article/2804/type/native/viewcontent
• Institution: De La Salle University

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 i...