Point Symmetric Ribbon Patterns using a Hexagonal Motif from M.C. Escher

David Reimann
Proceedings of Bridges 2013: Mathematics, Music, Art, Architecture, Culture (2013)
Pages 531–534


M.C. Escher explored patterns created from simple motifs carved from geometric shapes such as a square or a hexagon. Rather than creating patterns having translational planar symmetry, this paper describes how point symmetric patterns can be created using Escher’s hexagonal motif and gives several examples. Creating a point symmetric pattern from decorated regular hexagonal tiles depends on the symmetry groups of the hexagonal tessellation and the available tile decorations. One can use the hexagonal motif created by Escher to make point symmetric tessellations having four symmetry types.