Symmetry Groups Associated With Tilings on a Flat Torus

• المؤلفون الرئيسيون: De Las Peñas, Ma. Louise Antonette N, Loyola, Mark L, Estrada, Grace M, Santoso, Eko Budi
• التنسيق: text
• منشور في: Archīum Ateneo 2015
• الموضوعات: nanotori; flat torus; symmetry groups; color symmetry; Algebraic Geometry; Mathematics
• الوصول للمادة أونلاين: https://archium.ateneo.edu/mathematics-faculty-pubs/8; https://archium.ateneo.edu/cgi/viewcontent.cgi?article=1007&context=mathematics-faculty-pubs
• المؤسسة: Ateneo De Manila University

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...