k–isotoxal Tilings from [p^n] Tilings

• Main Authors: Tomenes, Mark D, De Las Peñas, Ma. Louise Antonette N
• 格式: text
• 出版: Archīum Ateneo 2022
• 主題: isotoxal; isotoxality; tilings; symmetry group; [p^n] tilings; Mathematics
• 在線閱讀: https://archium.ateneo.edu/mathematics-faculty-pubs/182; https://www.tandfonline.com/doi/full/10.1080/17513472.2021.2011687

A tiling is k−isotoxal if its edges form k orbits or k transitivity classes under the action of its symmetry group. In this article, a method is presented that facilitates the systematic derivation of planar edge-to-edge k−isotoxal tilings from isohedral [pn] tilings. Two well-known subgroups of tri...