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Ada Deitz Polynomials for Handwoven Textiles

Ada Dietz introduced a method of weave design using multivariate polynomials raised to different powers. The resulting sequences can generate patterns for textile design.

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DETAILS

As an example, rewrite as the sequence , and then as . Then generate a square array with copies of this sequence, adding to the array its own transpose, plotting repetitions and taking the values modulo .
References
[1] A. K. Dietz, Algebraic Expressions in Handwoven Textiles, Louisville, KY: The Little Loomhouse, 1949. www.cs.arizona.edu/patterns/weaving/monographs/dak_alge.pdf.
[2] R. E. Griswold. "Design Inspirations from Multivariate Polynomials, Part 1." (Sep 13, 2001) www.cs.arizona.edu/patterns/weaving/webdocs/gre_pol1.pdf.

PERMANENT CITATION

 Enrique Zeleny
"Ada Deitz Polynomials for Handwoven Textiles"
 http://demonstrations.wolfram.com/AdaDeitzPolynomialsForHandwovenTextiles/
 Wolfram Demonstrations Project
 Published: July 10, 2013
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