Fractal Islamic Geometric Patterns Based on Arrangements of n/2 Stars

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Phil Webster: Fractal Islamic Geometric Patterns Based on Arrangements of n/2 Stars. In: Bridges 2013. Pages 87–94



Within traditional Islamic geometric design, there is a small but distinct subset of patterns which incorporate no- tions of self-similarity. Such patterns typically use exactly two overlapping levels of self-similarity, with each level comprising similar motifs at two different, related scales. Recently I have constructed a large number of fractal Islamic patterns that pursue a different notion of self-similarity, simultaneously incorporating motifs at multiple— often, infinite—scales within a single pattern. I will first highlight the ways in which these patterns are distinct in nature from related work, both traditional and contemporary. Then, I will explain the details of the technique I have devised for using arrangements of {n/2} stars as a basis for discovering and constructing a wide variety of new fractal Islamic patterns.

Extended Abstract


Used References

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[2] Bonner, J. “Three Traditions of Self-Similarity in Fourteenth and Fifteenth Century Islamic Geometric Ornament”, Bridges Conference Proceedings (2003).

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[4] Bonner, J. Personal communication, January 2013.

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[15] Pelletier, M. and Bonner, J. “A 7-Fold System for Creating Islamic Geometric Patterns Part 2: Contem- porary Expression”, Bridges Conference Proceedings (2012).


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