Document Type
Article
Publication Date
2015
Abstract
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 symmetries of the planar tiling that are transformed to axial symmetries of the three-dimensional tiling. The focus on studying tilings on a round torus is motivated by applications in the geometric modeling of nanotori and the determination of their symmetry groups.
Recommended Citation
De Las Peñas, Ma. Louise Antonette N.; Loyola, Mark L.; Estrada, Grace M.; and Santoso, Eko Budi, (2015). Symmetry Groups Associated With Tilings on a Flat Torus. Archīum.ATENEO.
https://archium.ateneo.edu/mathematics-faculty-pubs/8