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

Ma. Louise Antonette N. De Las Peñas, Eden Delight B. Provido and René P. Felix
Proceedings of Bridges 2010: Mathematics, Music, Art, Architecture, Culture (2010)
Pages 383–386

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.

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