Hyperbolic Isogonal Tilings from Uniform Edge Colorings

• Main Authors: Abila, Agatha Kristel, De las Penas, Ma. Louise Antonette, Tomenes, Mark
• Format: text
• Published: Archīum Ateneo 2024
• Subjects: uniform edge colorings; hyperbolic isogonal tilings; isogonal tilings; Geometry and Topology; Mathematics; Physical Sciences and Mathematics
• Online Access: https://archium.ateneo.edu/mathematics-faculty-pubs/285; https://archive.bridgesmathart.org/2024/bridges2024-405.pdf
• Institution: Ateneo De Manila University

This paper presents the construction of an isogonal tiling from an edge coloring of a uniform tiling of the hyperbolic plane. In addition, it also discusses how the isogonal tiling can be transformed into a hyperbolic artwork by using motifs with appropriate symmetry properties as the edges of the t...