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<div class="vector-dropdown-content"> <div id="vector-page-titlebar-toc-unpinned-container" class="vector-unpinned-container"> </div> </div> </div> </nav> <h1 id="firstHeading" class="firstHeading mw-first-heading"><span class="mw-page-title-main">Ada Dietz</span></h1> <div id="p-lang-btn" class="vector-dropdown mw-portlet mw-portlet-lang" > <input type="checkbox" id="p-lang-btn-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-p-lang-btn" class="vector-dropdown-checkbox mw-interlanguage-selector" aria-label="Go to an article in another language. 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.infobox-subbox{padding:0;border:none;margin:-3px;width:auto;min-width:100%;font-size:100%;clear:none;float:none;background-color:transparent}.mw-parser-output .infobox-3cols-child{margin:auto}.mw-parser-output .infobox .navbar{font-size:100%}body.skin-minerva .mw-parser-output .infobox-header,body.skin-minerva .mw-parser-output .infobox-subheader,body.skin-minerva .mw-parser-output .infobox-above,body.skin-minerva .mw-parser-output .infobox-title,body.skin-minerva .mw-parser-output .infobox-image,body.skin-minerva .mw-parser-output .infobox-full-data,body.skin-minerva .mw-parser-output .infobox-below{text-align:center}@media screen{html.skin-theme-clientpref-night .mw-parser-output .infobox-full-data div{background:#1f1f23!important;color:#f8f9fa}}@media screen and (prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .infobox-full-data div{background:#1f1f23!important;color:#f8f9fa}}</style><table class="infobox biography vcard"><tbody><tr><th colspan="2" class="infobox-above" style="font-size:125%;"><div class="fn" style="display:inline-block">Ada K. Dietz</div></th></tr><tr><td colspan="2" class="infobox-image"><span class="mw-default-size" typeof="mw:File/Frameless"><a href="/wiki/File:Ada_Dietz_(cropped).jpg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/5/57/Ada_Dietz_%28cropped%29.jpg/220px-Ada_Dietz_%28cropped%29.jpg" decoding="async" width="220" height="293" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/5/57/Ada_Dietz_%28cropped%29.jpg/330px-Ada_Dietz_%28cropped%29.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/5/57/Ada_Dietz_%28cropped%29.jpg/440px-Ada_Dietz_%28cropped%29.jpg 2x" data-file-width="962" data-file-height="1282" /></a></span></td></tr><tr><th scope="row" class="infobox-label">Born</th><td class="infobox-data"><span style="display:none">(<span class="bday">1888-10-07</span>)</span>October 7, 1888<br /><div style="display:inline" class="birthplace">Michigan</div></td></tr><tr><th scope="row" class="infobox-label">Died</th><td class="infobox-data">January 12, 1981<span style="display:none">(1981-01-12)</span> (aged 92)<br /><div style="display:inline" class="deathplace">San Bernardino County California</div></td></tr><tr><th scope="row" class="infobox-label">Resting place</th><td class="infobox-data label">Elmwood Cemetery</td></tr><tr><th scope="row" class="infobox-label">Nationality</th><td class="infobox-data category">American</td></tr><tr><th scope="row" class="infobox-label">Known for</th><td class="infobox-data"><a href="/w/index.php?title=Mathematics_and_fiber_arts&action=edit&redlink=1" class="new" title="Mathematics and fiber arts (not yet started)">Mathematics and fiber arts</a></td></tr><tr><th scope="row" class="infobox-label"><span style="white-space:nowrap;">Notable work</span></th><td class="infobox-data">Algebraic Expressions in Handwoven Textiles, 1949</td></tr></tbody></table> <p><b>Ada K. Dietz</b> (October 7, 1888 – January 12, 1981) was an <a href="/wiki/Americans" title="Americans">American</a> <a href="/wiki/Weaving" title="Weaving">weaver</a>. Today she is mostly known for her 1949 monograph <i>Algebraic Expressions in Handwoven Textiles. In it, she</i> defines a method for inventing weaving patterns based on <a href="/wiki/Algebra" title="Algebra">algebraic</a> ones. Her method uses the expansion of multivariate <a href="/wiki/Polynomial" title="Polynomial">polynomials</a> to make a weaving scheme. Dietz' work is still well-regarded today, by both weavers and <a href="/wiki/Mathematician" title="Mathematician">mathematicians</a>.<sup id="cite_ref-1" class="reference"><a href="#cite_note-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup> Along with the references listed below, Griswold (2001) cites several additional articles on her work. </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Algebraic_weaving">Algebraic weaving</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Ada_Dietz&veaction=edit&section=1" title="Change section: Algebraic weaving" class="mw-editsection-visualeditor"><span>change</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Ada_Dietz&action=edit&section=1" title="Edit section's source code: Algebraic weaving"><span>change source</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Ada Dietz developed her algebraic method in 1946 while she was in <a href="/wiki/Long_Beach,_California" title="Long Beach, California">Long Beach</a>, <a href="/wiki/California" title="California">California</a>. As she liked weavng, Dietz used her experience as a former math teacher to make a threading pattern based on a cubic <a href="/wiki/Binomial_expansion" title="Binomial expansion">binomial expansion</a>. She describes her idea as follows: </p> <dl><dd>"Taking the cube of a binomial [ (<i>x</i> + <i>y</i>)<sup>3</sup>], I approached [the pattern] in the way applied algebraic problems are approached - by letting <i>x</i> equal one unknown and <i>y</i> equal the other unknown.</dd></dl> <dl><dd>"In this case, <i>x</i> equaled the first and second harnesses, and <i>y</i> equaled the third and fourth harnesses. Then it was simply a matter of expanding the cube of the binomial and substituting the values of <i>x</i> and <i>y</i> to write the threading draft." (Dietz, 1949)</dd></dl> <p>A piece based on the formula (<i>a</i> + <i>b</i> + <i>c</i> + <i>d</i> + <i>e</i> + <i>f</i>)<sup>2</sup>, submitted to the Little Loomhouse Country Fair in <a href="/wiki/Louisville,_Kentucky" title="Louisville, Kentucky">Louisville</a>, <a href="/wiki/Kentucky" title="Kentucky">Kentucky</a> 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 <i>Algebraic Expressions in Handwoven Textiles</i> and a traveling exhibit which continued throughout the 1950s. </p> <figure class="mw-default-size" typeof="mw:File/Thumb"><a href="/wiki/File:Square_of_a_trinomial_(1).jpg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/0/09/Square_of_a_trinomial_%281%29.jpg/220px-Square_of_a_trinomial_%281%29.jpg" decoding="async" width="220" height="238" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/0/09/Square_of_a_trinomial_%281%29.jpg/330px-Square_of_a_trinomial_%281%29.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/0/09/Square_of_a_trinomial_%281%29.jpg/440px-Square_of_a_trinomial_%281%29.jpg 2x" data-file-width="2675" data-file-height="2892" /></a><figcaption><i>Square of a Trinomial Overshot Weave</i> by Ada K. Dietz, circa 1950s, warp: tan 20/2, tabby: silver, pattern: brown chenille</figcaption></figure> <div class="mw-heading mw-heading2"><h2 id="History_and_development">History and development</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Ada_Dietz&veaction=edit&section=2" title="Change section: History and development" class="mw-editsection-visualeditor"><span>change</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Ada_Dietz&action=edit&section=2" title="Edit section's source code: History and development"><span>change source</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>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.<sup id="cite_ref-2" class="reference"><a href="#cite_note-2"><span class="cite-bracket">[</span>2<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading2"><h2 id="References">References</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Ada_Dietz&veaction=edit&section=3" title="Change section: References" class="mw-editsection-visualeditor"><span>change</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Ada_Dietz&action=edit&section=3" title="Edit section's source code: References"><span>change source</span></a><span class="mw-editsection-bracket">]</span></span></div> <style data-mw-deduplicate="TemplateStyles:r9724317">.mw-parser-output .reflist{margin-bottom:0.5em;list-style-type:decimal}@media screen{.mw-parser-output .reflist{font-size:90%}}.mw-parser-output .reflist .references{font-size:100%;margin-bottom:0;list-style-type:inherit}.mw-parser-output .reflist-columns-2{column-width:30em}.mw-parser-output .reflist-columns-3{column-width:25em}.mw-parser-output .reflist-columns{margin-top:0.3em}.mw-parser-output .reflist-columns ol{margin-top:0}.mw-parser-output .reflist-columns li{page-break-inside:avoid;break-inside:avoid-column}.mw-parser-output .reflist-upper-alpha{list-style-type:upper-alpha}.mw-parser-output .reflist-upper-roman{list-style-type:upper-roman}.mw-parser-output .reflist-lower-alpha{list-style-type:lower-alpha}.mw-parser-output .reflist-lower-greek{list-style-type:lower-greek}.mw-parser-output .reflist-lower-roman{list-style-type:lower-roman}</style><div class="reflist"> <div class="mw-references-wrap"><ol class="references"> <li id="cite_note-1"><span class="mw-cite-backlink"><a href="#cite_ref-1">↑</a></span> <span class="reference-text"><style data-mw-deduplicate="TemplateStyles:r9724332">.mw-parser-output cite.citation{font-style:inherit;word-wrap:break-word}.mw-parser-output .citation q{quotes:"\"""\"""'""'"}.mw-parser-output .citation:target{background-color:rgba(0,127,255,0.133)}.mw-parser-output .id-lock-free.id-lock-free a{background:url("//upload.wikimedia.org/wikipedia/commons/6/65/Lock-green.svg")right 0.1em center/9px no-repeat}.mw-parser-output .id-lock-limited.id-lock-limited a,.mw-parser-output .id-lock-registration.id-lock-registration a{background:url("//upload.wikimedia.org/wikipedia/commons/d/d6/Lock-gray-alt-2.svg")right 0.1em center/9px no-repeat}.mw-parser-output .id-lock-subscription.id-lock-subscription a{background:url("//upload.wikimedia.org/wikipedia/commons/a/aa/Lock-red-alt-2.svg")right 0.1em center/9px no-repeat}.mw-parser-output .cs1-ws-icon a{background:url("//upload.wikimedia.org/wikipedia/commons/4/4c/Wikisource-logo.svg")right 0.1em center/12px no-repeat}body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-free a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-limited a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-registration a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-subscription a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .cs1-ws-icon a{background-size:contain;padding:0 1em 0 0}.mw-parser-output .cs1-code{color:inherit;background:inherit;border:none;padding:inherit}.mw-parser-output .cs1-hidden-error{display:none;color:var(--color-error,#d33)}.mw-parser-output .cs1-visible-error{color:var(--color-error,#d33)}.mw-parser-output .cs1-maint{display:none;color:#085;margin-left:0.3em}.mw-parser-output .cs1-kern-left{padding-left:0.2em}.mw-parser-output .cs1-kern-right{padding-right:0.2em}.mw-parser-output .citation .mw-selflink{font-weight:inherit}@media screen{.mw-parser-output .cs1-format{font-size:95%}html.skin-theme-clientpref-night .mw-parser-output .cs1-maint{color:#18911f}}@media screen and (prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .cs1-maint{color:#18911f}}</style><cite id="CITEREFDietz,_Ada_K.1949" class="citation book cs1">Dietz, Ada K. (1949). <a rel="nofollow" class="external text" href="https://web.archive.org/web/20160222003421/http://www.cs.arizona.edu/patterns/weaving/monographs/dak_alge.pdf"><i>Algebraic Expressions in Handwoven Textiles</i></a> <span class="cs1-format">(PDF)</span>. Louisville, Kentucky: The Little Loomhouse. Archived from <a rel="nofollow" class="external text" href="http://www.cs.arizona.edu/patterns/weaving/monographs/dak_alge.pdf">the original</a> <span class="cs1-format">(PDF)</span> on 2016-02-22<span class="reference-accessdate">. Retrieved <span class="nowrap">2007-02-23</span></span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Algebraic+Expressions+in+Handwoven+Textiles&rft.place=Louisville%2C+Kentucky&rft.pub=The+Little+Loomhouse&rft.date=1949&rft.au=Dietz%2C+Ada+K.&rft_id=http%3A%2F%2Fwww.cs.arizona.edu%2Fpatterns%2Fweaving%2Fmonographs%2Fdak_alge.pdf&rfr_id=info%3Asid%2Fsimple.wikipedia.org%3AAda+Dietz" class="Z3988"></span></span> </li> <li id="cite_note-2"><span class="mw-cite-backlink"><a href="#cite_ref-2">↑</a></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r9724332"><cite id="CITEREFSmith1953" class="citation journal cs1 cs1-prop-long-vol">Smith, Mary Alice (1953). "Two Weavers In a Trailer". <i>Handweaver & Craftsman</i>. Spring: 20–22, 56–57.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.jtitle=Handweaver+%26+Craftsman&rft.atitle=Two+Weavers+In+a+Trailer&rft.volume=Spring&rft.pages=20-22%2C+56-57&rft.date=1953&rft.aulast=Smith&rft.aufirst=Mary+Alice&rfr_id=info%3Asid%2Fsimple.wikipedia.org%3AAda+Dietz" class="Z3988"></span></span> </li> </ol></div></div> <div class="mw-heading mw-heading2"><h2 id="Sources">Sources</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Ada_Dietz&veaction=edit&section=4" title="Change section: Sources" class="mw-editsection-visualeditor"><span>change</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Ada_Dietz&action=edit&section=4" title="Edit section's source code: Sources"><span>change source</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r9724332"><cite id="CITEREFDietz,_Ada_K.1949" class="citation book cs1">Dietz, Ada K. (1949). <a rel="nofollow" class="external text" href="https://web.archive.org/web/20160222003421/http://www.cs.arizona.edu/patterns/weaving/monographs/dak_alge.pdf"><i>Algebraic Expressions in Handwoven Textiles</i></a> <span class="cs1-format">(PDF)</span>. Louisville, Kentucky: The Little Loomhouse. Archived from <a rel="nofollow" class="external text" href="http://www.cs.arizona.edu/patterns/weaving/monographs/dak_alge.pdf">the original</a> <span class="cs1-format">(PDF)</span> on 2016-02-22<span class="reference-accessdate">. Retrieved <span class="nowrap">2007-02-23</span></span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Algebraic+Expressions+in+Handwoven+Textiles&rft.place=Louisville%2C+Kentucky&rft.pub=The+Little+Loomhouse&rft.date=1949&rft.au=Dietz%2C+Ada+K.&rft_id=http%3A%2F%2Fwww.cs.arizona.edu%2Fpatterns%2Fweaving%2Fmonographs%2Fdak_alge.pdf&rfr_id=info%3Asid%2Fsimple.wikipedia.org%3AAda+Dietz" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r9724332"><cite id="CITEREFGriswold,_Ralph2001" class="citation journal cs1">Griswold, Ralph (2001). <a rel="nofollow" class="external text" href="https://www2.cs.arizona.edu/patterns/weaving/webdocs/gre_pol1.pdf">"Design Inspirations from Multivariate Polynomials, Part 1"</a> <span class="cs1-format">(PDF)</span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Design+Inspirations+from+Multivariate+Polynomials%2C+Part+1&rft.date=2001&rft.au=Griswold%2C+Ralph&rft_id=https%3A%2F%2Fwww2.cs.arizona.edu%2Fpatterns%2Fweaving%2Fwebdocs%2Fgre_pol1.pdf&rfr_id=info%3Asid%2Fsimple.wikipedia.org%3AAda+Dietz" class="Z3988"></span> <span class="cs1-visible-error citation-comment"><code class="cs1-code">{{<a href="/wiki/Template:Cite_journal" title="Template:Cite journal">cite journal</a>}}</code>: </span><span class="cs1-visible-error citation-comment">Cite journal requires <code class="cs1-code">|journal=</code> (<a href="/wiki/Help:CS1_errors#missing_periodical" title="Help:CS1 errors">help</a>)</span></li> <li>Redfield, Gail (1959). "Variations on an Algebraic Equation". <i>Handweaver & Craftsman</i> (Summer): 46-49</li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r9724332"><cite id="CITEREFSchneider,_Lana1998" class="citation journal cs1">Schneider, Lana (1998). "Algebraic Expressions: Designs for Weaving". <i>Handwoven</i> (Jan./Feb): 48–51.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.jtitle=Handwoven&rft.atitle=Algebraic+Expressions%3A+Designs+for+Weaving&rft.issue=Jan.%2FFeb&rft.pages=48-51&rft.date=1998&rft.au=Schneider%2C+Lana&rfr_id=info%3Asid%2Fsimple.wikipedia.org%3AAda+Dietz" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r9724332"><cite id="CITEREFSchneider,_Lana1998" class="citation journal cs1">Schneider, Lana (1998). "Algebraic Expressions in Handwoven Textiles". <a rel="nofollow" class="external text" href="http://fiberarts.org/design/articles/algebra.html">Reproduced on the FiberArts web site</a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Algebraic+Expressions+in+Handwoven+Textiles&rft.date=1998&rft.au=Schneider%2C+Lana&rfr_id=info%3Asid%2Fsimple.wikipedia.org%3AAda+Dietz" class="Z3988"></span> <span class="cs1-visible-error citation-comment"><code class="cs1-code">{{<a href="/wiki/Template:Cite_journal" title="Template:Cite journal">cite journal</a>}}</code>: </span><span class="cs1-visible-error citation-comment">Cite journal requires <code class="cs1-code">|journal=</code> (<a href="/wiki/Help:CS1_errors#missing_periodical" title="Help:CS1 errors">help</a>)</span></li></ul>    </div><noscript><img src="https://login.wikimedia.org/wiki/Special:CentralAutoLogin/start?useformat=desktop&type=1x1&usesul3=0" alt="" width="1" height="1" style="border: none; position: absolute;"></noscript> <div class="printfooter" data-nosnippet="">Retrieved from "<a dir="ltr" href="https://simple.wikipedia.org/w/index.php?title=Ada_Dietz&oldid=9403892">https://simple.wikipedia.org/w/index.php?title=Ada_Dietz&oldid=9403892</a>"</div></div> <div id="catlinks" class="catlinks" data-mw="interface"><div id="mw-normal-catlinks" class="mw-normal-catlinks"><a href="/wiki/Special:Categories" title="Special:Categories">Categories</a>: <ul><li><a href="/wiki/Category:1880s_births" title="Category:1880s births">1880s births</a></li><li><a href="/wiki/Category:1950_deaths" title="Category:1950 deaths">1950 deaths</a></li></ul></div><div id="mw-hidden-catlinks" class="mw-hidden-catlinks mw-hidden-cats-hidden">Hidden categories: <ul><li><a href="/wiki/Category:Pages_using_the_JsonConfig_extension" title="Category:Pages using the JsonConfig extension">Pages using the JsonConfig extension</a></li><li><a href="/wiki/Category:CS1:_long_volume_value" title="Category:CS1: long volume value">CS1: long volume value</a></li><li><a href="/wiki/Category:Articles_with_hCards" title="Category:Articles with hCards">Articles with hCards</a></li><li><a href="/wiki/Category:CS1_errors:_missing_periodical" title="Category:CS1 errors: missing periodical">CS1 errors: missing periodical</a></li></ul></div></div> </div> </main> </div> <div class="mw-footer-container"> <footer id="footer" class="mw-footer" > <ul id="footer-info"> <li id="footer-info-lastmod"> This page was last changed on 9 March 2024, at 13:02.</li> <li id="footer-info-copyright">Text is available under the <a rel="nofollow" class="external text" href="//creativecommons.org/licenses/by-sa/4.0/">Creative Commons Attribution-ShareAlike License</a> and the <a href="/wiki/Wikipedia:Text_of_the_GNU_Free_Documentation_License" title="Wikipedia:Text of the GNU Free Documentation License">GFDL</a>; additional terms may apply. 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