A family of aperiodic tiling with infinitely many orientations

• Main Authors: Say-Awen, April Lynne D., Frettlöh, Dirk, De Las Peñas, Ma. Louise Antonette N.
• Format: text
• Published: Animo Repository 2018
• Subjects: Aperiodic tilings; Tiling spaces; Mathematics
• Online Access: https://animorepository.dlsu.edu.ph/faculty_research/5937
• Institution: De La Salle University

To date, most tilings of the Euclidean plane have the property that their tiles appear in finitely many orientations (TFMO), and well-developed theories in the study of aperiodic tilings and tiling spaces assume the property TFMO. This paper provides examples of aperiodic tilings whose tiles occur i...