patterns
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A new kind of patterns in mathematics
Cellular automata constitute an alternative way of pattern generation. Cellular automata had been developed the first time by John von Neumann and Stanislav Ulam. Their idea at the end of the 1940’s was to create a virtual self-reproducing machine. Cellular automata (CA) consist of a grid of interrelated cells, which can result in very complex pattern formations. Bioinformaticians discovered that CA are good means for modelling and simulating biological pattern formations. The mathematician Stephen Wolfram remarked in his book "A New Kind of Science" that he did not find applications of CA in former cultural applications like developing ornaments (p42/p43). This fact is astonishing because CA based patterns do not need computers but also can generated on a chess board.
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At least "a new kind of image"?
According to Stephen Wolfram there are no classical ornaments created by the simple rules of cellular automata.
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patterns in biology
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bacterial motion pattern
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strip weaving
Pure striped textiles have been very rare in history. Before striped clothes had been a sign for unnormal people like court jester or later prisoners. In Western Africa exists a tradition of weaving striped clothes with a different connotation (more...)
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Africain Kente strip weaving
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links for patterns in islamic arts & architecture
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Friday Mosque at Herat in Afghanistan
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patterns in the arts
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Ten Triangles, 2004
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further links
Essay: Discovering Patterns -The Interface Between Art and Science, Santa Fe Institute Bulletin Fall 1999 (1,6 Mb, pdf)
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the topkapi scroll
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