Creating Penrose-type Islamic Interlacing Patterns

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John Rigby: Creating Penrose-type Islamic Interlacing Patterns. In: Bridges 2006. Pages 41–48



Some of the most interesting Islamic interlacing patterns involve ten-pointed stars or ten-petalled rosettes. These motifs have local ten-fold symmetry, yet they are often included as part of a plane periodic pattern, which can have no overall five- or ten-fold symmetries. Instead of using these motifs in periodic patterns, can we incorporate them in patterns based in some way on Penrose tilings (which have many local five-fold symmetries)?

Extended Abstract


Used References

[1] F. H. Bool et al., Escher, with a Complete Catalogue of the Graphic Works, Thames and Hudson, 1982.

[2] J. Bourgoin, Arabic Geometrical Pattern and Design, Dover, New York, 1971.

[3] Jean-Marc Castéra, Arabesques: Decorative Art in Morocco, ACR Édition, Paris, 1999.

[4] Issam El-Said and Ayşe Parman, Geometric Concepts in Islamic Art, Scorpion Publishing and World of Islam Festival Trust, 1976.

[5] Branko Grünbaum & G. C. Shephard, Tilings and Patterns, W. H. Freeman and Co., 1987.[6] G. Necipoglu, The Topkapi Scroll – Geometry and Ornament in Islamic Art, The Getty Centre for the History of Art and the Humanities, 1995.

[7] John Rigby, A Turkish Interlacing Pattern and the Golden Ratio, Mathematics in School, Vol. 34 No. 1. pp. 16 – 24, 2005.

[8] John Rigby and Brian Wichmann, Some Patterns Using Specific Tiles. Not yet published.


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