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: Archīum Ateneo 2018
• Subjects: symmetry order; aperiodic tilings; substitution tilings; rotation-invariant tilings; dense tile orientations; Geometry and Topology; Mathematics
• Online Access: https://archium.ateneo.edu/mathematics-faculty-pubs/16; https://archium.ateneo.edu/cgi/viewcontent.cgi?article=1015&context=mathematics-faculty-pubs
• Institution: Ateneo De Manila 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...