On Torsion Free Subgroups of p32 and Related Colored Tilings

Authors

Ma. Louise Antonette N. De Las Peñas, Ateneo de Manila UniversityFollow
Eden Delight Miro, Ateneo de Manila UniversityFollow
Rene P. Felix, University of the Philippines Diliman

Document Type

Article

Publication Date

2010

Abstract

In this paper, we discuss an approach in arriving at a torsion free subgroup of p32 - the group of orientation preserving isometries in a triangle group *p32, using color symmetries of its related tiling. We also present the relation that exists between torsion free subgroups of p32 and precise colorings of a 3p tiling. A group is said to be torsion free if all its nonidentity elements are of infinite order.

Recommended Citation

De Las Penas, M. L. A. N., Provido, E. D. B., & Felix, R. P. (2010). On Torsion Free Subgroups of p32 and Related Colored Tilings. In Proceedings of Bridges 2010: Mathematics, Music, Art, Architecture, Culture (pp. 383-386). Tessellations Publishing.