Symmetry Groups Associated With Tilings on a Flat Torus

• Main Authors: De Las Peñas, Ma. Louise Antonette N, Loyola, Mark L, Estrada, Grace M, Santoso, Eko Budi
• 格式: text
• 出版: Archīum Ateneo 2015
• 主題: nanotori; flat torus; symmetry groups; color symmetry; Algebraic Geometry; Mathematics
• 在線閱讀: https://archium.ateneo.edu/mathematics-faculty-pubs/8; https://archium.ateneo.edu/cgi/viewcontent.cgi?article=1007&context=mathematics-faculty-pubs

This work investigates symmetry and color symmetry properties of Kepler, Heesch and Laves tilings embedded on a flat torus and their geometric realizations as tilings on a round torus in Euclidean 3-space. The symmetry group of the tiling on the round torus is determined by analyzing relevant symmet...