9711

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.

SNAPSHOTS

  • [Snapshot]
  • [Snapshot]
  • [Snapshot]
  • [Snapshot]
  • [Snapshot]

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
    • Share:

Embed Interactive Demonstration New!

Just copy and paste this snippet of JavaScript code into your website or blog to put the live Demonstration on your site. More details »

Files require Wolfram CDF Player or Mathematica.





Related Topics
 
RELATED RESOURCES
Mathematica »
 The #1 tool for creating Demonstrations
and anything technical. 		Wolfram|Alpha »
 Explore anything with the first
computational knowledge engine. 		MathWorld »
 The web's most extensive
mathematics resource. 		Course Assistant Apps »
 An app for every course—
right in the palm of your hand.
Wolfram Blog »
 Read our views on math,
science, and technology. 		Computable Document Format »
 The format that makes Demonstrations
(and any information) easy to share and
interact with. 		STEM Initiative »
 Programs & resources for
educators, schools & students. 		Computerbasedmath.org »
 Join the initiative for modernizing
math education.
Step-by-step Solutions »
 Walk through homework problems one step at a time, with hints to help along the way. 		Wolfram Problem Generator »
 Unlimited random practice problems and answers with built-in Step-by-step solutions. Practice online or make a printable study sheet. 		Wolfram Language »
 Knowledge-based programming for everyone.
Powered by Wolfram Mathematica © 2014 Wolfram Demonstrations Project & Contributors  |  Terms of Use  |  Privacy Policy  |  RSS Give us your feedback
Note: To run this Demonstration you need Mathematica 7+ or the free Mathematica Player 7EX
Download or upgrade to Mathematica Player 7EX
I already have Mathematica Player or Mathematica 7+