1908

Bridges

2013

87-94

Proceedings of Bridges 2013: Mathematics, Music, Art, Architecture, Culture , براي دانلود و مشاهده مقاله به قسمت لينكهاي مرتبط مراجعه نماييد

Within traditional Islamic geometric design, there is a small but distinct subset of patterns which incorporate notions 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 fn=2g stars as a basis for discovering and constructing a wide variety of new fractal Islamic patterns

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