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

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David Reimann: Point Symmetric Ribbon Patterns using a Hexagonal Motif from M.C. Escher. In: Bridges 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 symmet- ric 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.

Extended Abstract


Used References

[1] B. Ernst. The magic mirror of M.C. Escher. Random house New York, 1976.

[2] G.A. Escher. M.C. Escher at work. In H. M. S. Coxeter, M. Emmer, R. Penrose, and M. L. Teuber, editors, M.C. Escher: Art and Science, pages 1–11, 1986.

[3] M.C. Escher. Tegels. unpublished, Gemeentemuseum archives, viewed April 2011.

[4] David A. Reimann. Point symmetry patterns on a regular hexagonal tessellation. In Robert Bosch, Douglas McKenna, and Reza Sarhangi, editors, Bridges Towson 2012: Mathematics, Music, Art, Architecture, Culture, pages 365–368, Towson, Maryland, 25–29 July 2012.

[5] D. Schattschneider. M.C. Escher: Visions of Symmetry. Harry N. Abrams, 2004.


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