On Torsion Free Subgroups of p32 and Related Colored Tilings
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.
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.