# Bridges 2012 Short Paper

Point Symmetry Patterns on a Regular Hexagonal Tessellation

David A. Reimann

(Proceedings pages 365–368)

## Abstract

An investigation of point symmetry patterns on the regular hexagonal
tessellation is presented. This tessellation has three point symmetry
groups. However, the restriction to the hexagonal tessellation
causes some symmetry subgroups to be repeated in ways that are
geometrically unique and others that are geometrically equivalent,
resulting in a total of 14 geometrically distinct symmetry groups.
Each symmetry group requires a particular set of motif symmetries
to allow its construction. Examples of symmetric patterns are shown
for several simple motif families.

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