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  <updated>2006-12-03T15:32:36+00:00</updated>
  <entry>
    <title>mathematical knitting</title>
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    <published>2006-12-02T17:01:51+00:00</published>
    <updated>2006-12-03T15:32:36+00:00</updated>
    <author>
      <name>AliaK</name>
    </author>
    <category term="blog entry" />
    <category term="blog entry" />
    <category term="knitting" />
    <summary type="html"><![CDATA[<p>knitting patterns have a certain mathematical quality to them. knitting is basically a binary system - knit &amp; purl stitches. so it's possible to knit binary sequences, letters  eg convert the letters to ascii hex, then binary - some people knit their names as signatures in their work.<br />
people knit in fibonacci sequences and end up with patterns and colours / stripes that somehow seem natural, just as the fibonacci sequences showing up so much in nature.<br />
so I'm keeping a list of patterns and urls for sites on logical / mathematical knitting.<br />
there's also the crocheting (like the <a href="http://theiff.org/lectures/10.html" rel="nofollow" rel="nofollow">hyperbolic plane</a> crocheted recently as a way to describe it physically. I need to practice crocheting though, so will stick to knitting for a while!<br />
<img src="http://static.flickr.com/27/65759594_1ff9f3eca1_t.jpg" />  also the crotcheted <a href="http://www.enm.bris.ac.uk/anm/preprints/2004r03.html" rel="nofollow" rel="nofollow">Lorenz manifold</a> based on the strange attractor in chaos theory.<br />
<a href="http://www.toroidalsnark.net/mkmb.html" rel="nofollow" rel="nofollow">Knitted Mobius bands</a> by dr. sarah-marie belcastro<br />
<a href="http://www.fuzzygalore.biz/articles/ada.shtml" rel="nofollow" rel="nofollow">Ada Deitz polynomials</a> - In 1946, Ada learned to weave and figured out how to use solutions to multivariant polynomials to design patterns. These were featured in magazines at the time.<br />
eg: the solution to (a + b) ^2<br />
(^2 = squared)<br />
<img src="http://www.fuzzygalore.biz/images/articles/ada-square-tn.jpg" />  <img src="http://www.fuzzygalore.biz/images/blog/ada-tn.jpg" /><br />
<a href="http://fiberarts.org/design/articles/algebra.html" rel="nofollow" rel="nofollow">Algebraic Expressions of Handwoven Textiles</a> article by Lana Schneider<br />
<a href="http://bajada.typepad.com/everybody_wants_a_rock/2005/03/calling_all_gee.html" rel="nofollow" rel="nofollow">thomasina's Guide to Geeky Knitting</a> lists all sorts of mathematical and biological knitting, using the following categories :<br />
Geology and Paleontology; Biology : Microscale: Genetics and Microbiology, Macroscale: Anatomy and Ecology; Mathematics : General, Topology, Probability, Chaos, and Fractals, Sequences and Geometry, Tessellation; Computer Science; History; Linguistics.<br />
<img src="http://www.ee.ryerson.ca:8080/~elf/abacus/images/inca-khipu.jpg" />  she also mentions <a href="http://bajada.typepad.com/everybody_wants_a_rock/2005/03/calling_all_gee.html" rel="nofollow" rel="nofollow">String, and Knot, Theory of Inca Writing</a>, an article on <a href="http://www.ee.ryerson.ca:8080/~elf/abacus/inca-khipu.html" rel="nofollow" rel="nofollow">khipu</a>, an Incan method of writing / encrypting / encoding information using cryptic knotted strings<br />
Eleanor Kent's <a href="http://www.ylem.org/artists/ekent/index.htm" rel="nofollow" rel="nofollow">knitted textile art</a><br />
<a href="http://knitting.activist.ca/" rel="nofollow" rel="nofollow">Radical Knitting Circle</a> - an activist based knitting group<br />
<a href="http://www.mattsoar.org/archives/000066.html" rel="nofollow" rel="nofollow">Critical Pixels quote</a></p>
<div class="quote-msg">
<div class="quote-author">Quote:</div>
<p>Knitting is, in itself, a remarkably rich metaphor when considering issues of gender and power; hitch this up to a discussion of computer viruses and things really start to blossom. Kirsty, for example, took the binary code from an existing virus called Code Red and converted it into a piece of knitting (in red wool, of course). Rather than rendering the virus harmless, this act was actually a form of re-encoding; one could imagine it being carried invisibly (ie worn as a garment) until the wearer decided to decode it.<br />
There's also a certain kind of circularity at play: the earliest programmable computers were based on the Jacquard Loom's innovative use of punchcards. The Loom itself marks a key moment in the industrialization of craft skills (cf knitting).
</p></div>
<p><a href="http://www.knitlist.com/" rel="nofollow" rel="nofollow">knitlist.com</a> has an article on <a href="http://www.knitlist.com/binary_knitting.htm" rel="nofollow" rel="nofollow">binary knitting</a><br />
<a href="http://www.fuzzylogicknits.com" rel="nofollow" rel="nofollow">fuzzy logic knits</a> is another blog with links on mathematical knitting<br />
<a href="http://www.toroidalsnark.net/mathknit.html" rel="nofollow" rel="nofollow">Home of Mathematical Knitting</a> has links to other resources.<br />
knitting in <a href="http://www.math.wayne.edu/%7Eisaksen/Expository/vismath-paper/node4.html" rel="nofollow" rel="nofollow">mobius stitch</a><br />
<img src="http://www.math.wayne.edu/%7Eisaksen/Expository/vismath-paper/mobius.gif" /><br />
<img src="http://www.math.wayne.edu/%7Eisaksen/Expository/vismath-paper/helical-mobius.gif" /></p>
    ]]></summary>
    <content type="html"><![CDATA[<p>knitting patterns have a certain mathematical quality to them. knitting is basically a binary system - knit &amp; purl stitches. so it's possible to knit binary sequences, letters  eg convert the letters to ascii hex, then binary - some people knit their names as signatures in their work.</p>
<p>people knit in fibonacci sequences and end up with patterns and colours / stripes that somehow seem natural, just as the fibonacci sequences showing up so much in nature. </p>
<p>so I'm keeping a list of patterns and urls for sites on logical / mathematical knitting. </p>
<p>there's also the crocheting (like the <a href="http://theiff.org/lectures/10.html" rel="nofollow">hyperbolic plane</a> crocheted recently as a way to describe it physically. I need to practice crocheting though, so will stick to knitting for a while!</p>
<p><img src="http://static.flickr.com/27/65759594_1ff9f3eca1_t.jpg" />  also the crotcheted <a href="http://www.enm.bris.ac.uk/anm/preprints/2004r03.html" rel="nofollow">Lorenz manifold</a> based on the strange attractor in chaos theory.</p>
<p><a href="http://www.toroidalsnark.net/mkmb.html" rel="nofollow">Knitted Mobius bands</a> by dr. sarah-marie belcastro</p>
<p><a href="http://www.fuzzygalore.biz/articles/ada.shtml" rel="nofollow">Ada Deitz polynomials</a> - In 1946, Ada learned to weave and figured out how to use solutions to multivariant polynomials to design patterns. These were featured in magazines at the time.</p>
<p>eg: the solution to (a + b) ^2<br />
(^2 = squared)<br />
<img src="http://www.fuzzygalore.biz/images/articles/ada-square-tn.jpg" />  <img src="http://www.fuzzygalore.biz/images/blog/ada-tn.jpg" /></p>
<p><a href="http://fiberarts.org/design/articles/algebra.html" rel="nofollow">Algebraic Expressions of Handwoven Textiles</a> article by Lana Schneider</p>
<p><a href="http://bajada.typepad.com/everybody_wants_a_rock/2005/03/calling_all_gee.html" rel="nofollow">thomasina's Guide to Geeky Knitting</a> lists all sorts of mathematical and biological knitting, using the following categories :<br />
Geology and Paleontology; Biology : Microscale: Genetics and Microbiology, Macroscale: Anatomy and Ecology; Mathematics : General, Topology, Probability, Chaos, and Fractals, Sequences and Geometry, Tessellation; Computer Science; History; Linguistics.</p>
<p><img src="http://www.ee.ryerson.ca:8080/~elf/abacus/images/inca-khipu.jpg" />  she also mentions <a href="http://bajada.typepad.com/everybody_wants_a_rock/2005/03/calling_all_gee.html" rel="nofollow">String, and Knot, Theory of Inca Writing</a>, an article on <a href="http://www.ee.ryerson.ca:8080/~elf/abacus/inca-khipu.html" rel="nofollow">khipu</a>, an Incan method of writing / encrypting / encoding information using cryptic knotted strings </p>
<p>Eleanor Kent's <a href="http://www.ylem.org/artists/ekent/index.htm" rel="nofollow">knitted textile art</a></p>
<p><a href="http://knitting.activist.ca/" rel="nofollow">Radical Knitting Circle</a> - an activist based knitting group</p>
<p><a href="http://www.mattsoar.org/archives/000066.html" rel="nofollow">Critical Pixels quote</a></p>
<div class="quote-msg">
<div class="quote-author">Quote:</div>
<p>Knitting is, in itself, a remarkably rich metaphor when considering issues of gender and power; hitch this up to a discussion of computer viruses and things really start to blossom. Kirsty, for example, took the binary code from an existing virus called Code Red and converted it into a piece of knitting (in red wool, of course). Rather than rendering the virus harmless, this act was actually a form of re-encoding; one could imagine it being carried invisibly (ie worn as a garment) until the wearer decided to decode it.</p>
<p>There's also a certain kind of circularity at play: the earliest programmable computers were based on the Jacquard Loom's innovative use of punchcards. The Loom itself marks a key moment in the industrialization of craft skills (cf knitting).
</p></div>
<p><a href="http://www.knitlist.com/" rel="nofollow">knitlist.com</a> has an article on <a href="http://www.knitlist.com/binary_knitting.htm" rel="nofollow">binary knitting</a></p>
<p><a href="http://www.fuzzylogicknits.com" rel="nofollow">fuzzy logic knits</a> is another blog with links on mathematical knitting</p>
<p><a href="http://www.toroidalsnark.net/mathknit.html" rel="nofollow">Home of Mathematical Knitting</a> has links to other resources.</p>
<p>knitting in <a href="http://www.math.wayne.edu/%7Eisaksen/Expository/vismath-paper/node4.html" rel="nofollow">mobius stitch</a> </p>
<p><img src="http://www.math.wayne.edu/%7Eisaksen/Expository/vismath-paper/mobius.gif" /></p>
<p><img src="http://www.math.wayne.edu/%7Eisaksen/Expository/vismath-paper/helical-mobius.gif" /></p>
    ]]></content>
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