Construction of Tilings with Transitivity Properties on the Square Grid

• Main Authors: Tomenes, Mark D, De las Penas, Ma. Louise Antonette N
• Format: text
• Published: Archīum Ateneo 2024
• Subjects: Square grid; Square lattice; Tilings; Vertex-edge-tile transitivity; Discrete Mathematics and Combinatorics; Geometry and Topology; Mathematics; Physical Sciences and Mathematics
• Online Access: https://archium.ateneo.edu/mathematics-faculty-pubs/269; https://doi.org/10.1007/978-3-031-57793-2_10
• Institution: Ateneo De Manila University

Tilings have been a subject of interest in discrete geometry for their algebraic and geometric properties. Their applications extend to other areas such as crystallography and mathematical morphology. In this paper, we study a class of tilings called a,b,c tilings where their respective symmetry gro...