Ada Dietz

Ada K. Dietz (October 7, 1888 – January 12, 1981) was an American weaver. Today she is mostly known for her 1949 monograph Algebraic Expressions in Handwoven Textiles. In it, she defines a method for inventing weaving patterns based on algebraic ones.

Ada K. Dietz
Born	(1888-10-07)October 7, 1888 Michigan
Died	January 12, 1981(1981-01-12) (aged 92) San Bernardino County California
Resting place	Elmwood Cemetery
Nationality	American
Known for	Mathematics and fiber arts
Notable work	Algebraic Expressions in Handwoven Textiles, 1949

Her method uses the expansion of multivariate polynomials to make a weaving scheme. Dietz' work is still well-regarded today, by both weavers and mathematicians. Along with the references listed below, Griswold (2001) cites several additional articles on her work.

Algebraic weaving

Ada Dietz developed her algebraic method in 1946 while she was in Long Beach, California. As she liked weaving, Dietz used her experience as a former math teacher to make a threading pattern based on a cubic binomial expansion. She describes her idea as follows:

"Taking the cube of a binomial [ (x + y)³], I approached [the pattern] in the way applied algebraic problems are approached - by letting x equal one unknown and y equal the other unknown.

"In this case, x equaled the first and second harnesses, and y equaled the third and fourth harnesses. Then it was simply a matter of expanding the cube of the binomial and substituting the values of x and y to write the threading draft." (Dietz, 1949)

A piece based on the formula (a + b + c + d + e + f)², submitted to the Little Loomhouse Country Fair in Louisville, Kentucky received a positive response. This prompted a collaboration between Dietz and Little Loomhouse's founder, Lou Tate. The fruits of the collaboration included the booklet Algebraic Expressions in Handwoven Textiles and a traveling exhibit which continued throughout the 1950s.

Square of a Trinomial Overshot Weave by Ada K. Dietz, circa 1950s, warp: tan 20/2, tabby: silver, pattern: brown chenille

History and development

Diez was a high school teacher. She taught biology and mathematics. She then met Ruth E. Foster, a professional weaver with the Hewson Studios in Los Angeles. Fosters work nspired Dietz to begin studying weaving at Wayne University in Detroit. One of her teachers was Nellie Sargent Johnson. Her experiments in writing weaving drafts began in Johnson's classes.It was later when Dietz and Foster were driving north to study at the Banff School of Fine Arts in Canada that she began using mathematical equations. She wanted "a reason for writing a draft in a definite way", and went to the mathematical equations she had worked with for so long.

Sources

• Dietz, Ada K. (1949). Algebraic Expressions in Handwoven Textiles (PDF). Louisville, Kentucky: The Little Loomhouse. Archived from the original (PDF) on 2016-02-22. Retrieved 2007-02-23.
• Griswold, Ralph (2001). "Design Inspirations from Multivariate Polynomials, Part 1" (PDF). {{cite journal}}: Cite journal requires |journal= (help)
• Redfield, Gail (1959). "Variations on an Algebraic Equation". Handweaver & Craftsman (Summer): 46-49
• Schneider, Lana (1998). "Algebraic Expressions: Designs for Weaving". Handwoven (Jan./Feb): 48–51.
• Schneider, Lana (1998). "Algebraic Expressions in Handwoven Textiles". Reproduced on the FiberArts web site. {{cite journal}}: Cite journal requires |journal= (help)