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mathematickal_arts_2011 [2011-07-29 18:50] – 83.101.5.51 | mathematickal_arts_2011 [2012-01-25 14:11] – nik |
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After the introductions to the workshop and its wider context of cultural resilience, the participants were invited to warm up by playing a human knot game - randomly joining all hands and trying to unknot to a loop or a twist without letting go (http://www.wikihow.com/Play-the-Human-Knot-Game). The theoretical session began with an overview of possible connections between mathematics and textile crafts. They talked about patterns and symmetries, knots and hyperbolic geometries, Jacquard looms, Indonesian double ikat and cellular automata. The presentation showed a broad range of possibilities that the workshop could unfold into, but its final direction depends on the participants and their interests. For example: | After the introductions to the workshop and its wider context of cultural resilience, the participants were invited to warm up by playing a human knot game - randomly joining all hands and trying to unknot to a loop or a twist without letting go (http://www.wikihow.com/Play-the-Human-Knot-Game). The theoretical session began with an overview of possible connections between mathematics and textile crafts. They talked about patterns and symmetries, knots and hyperbolic geometries, Jacquard looms, Indonesian double ikat and cellular automata. |
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| Slides from the presentation: {{mathematickal_arts_2011.pdf}} |
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| The presentation showed a broad range of possibilities that the workshop could unfold into, but its final direction depends on the participants and their interests. For example: |
* group theory and different types of symmetries (http://en.wikipedia.org/wiki/Symmetry) | * group theory and different types of symmetries (http://en.wikipedia.org/wiki/Symmetry) |
* tesselation, tiling and pleating (http://en.wikipedia.org/wiki/Tesselation) | * tesselation, tiling and pleating (http://en.wikipedia.org/wiki/Tesselation) |
{{http://farm7.static.flickr.com/6017/5984205895_89eff2a94f.jpg}} | {{http://farm7.static.flickr.com/6017/5984205895_89eff2a94f.jpg}} |
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"Cutting a M�bius strip along the center line yields one long strip with two full twists in it, rather than two separate strips; the result is not a M�bius strip. This happens because the original strip only has one edge which is twice as long as the original strip. Cutting creates a second independent edge, half of which was on each side of the scissors. Cutting this new, longer, strip down the middle creates two strips wound around each other, each with two full twists." | "Cutting a Môbius strip along the center line yields one long strip with two full twists in it, rather than two separate strips; the result is not a Möbius strip. This happens because the original strip only has one edge which is twice as long as the original strip. Cutting creates a second independent edge, half of which was on each side of the scissors. Cutting this new, longer, strip down the middle creates two strips wound around each other, each with two full twists." |
http://en.wikipedia.org/wiki/M%C3%B6bius_strip | http://en.wikipedia.org/wiki/M%C3%B6bius_strip |
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{{http://farm7.static.flickr.com/6134/5984781710_e060f7e10f.jpg}} | {{http://farm7.static.flickr.com/6134/5984781710_e060f7e10f.jpg}} |
{{http://farm7.static.flickr.com/6008/5984219559_724c7d7de8.jpg}} | {{http://farm7.static.flickr.com/6008/5984219559_724c7d7de8.jpg}} |
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| See more detail here: |
| * [[http://www.pawfal.org/dave/blog/2011/07/splinterfields-mathematickal-arts-2/]] |
| * [[http://www.pawfal.org/dave/blog/2011/08/splinterfields-mathematickal-arts-3/]] |
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==== Conclusion: what happens when you bring maths & textiles together? ==== | ==== Conclusion: what happens when you bring maths & textiles together? ==== |
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* book: http://www.shadowfolds.com/ | * book: http://www.shadowfolds.com/ |
| * book: origami tesselations by Eric Gjerde http://www.happyfolding.com/taxonomy/term/129 |
* blogpost on knitting and debian > http://www.capacitor.constantvzw.org/?p=612 | * blogpost on knitting and debian > http://www.capacitor.constantvzw.org/?p=612 |
* on miat > http://www.capacitor.constantvzw.org/?p=452 | * on miat > http://www.capacitor.constantvzw.org/?p=452 |
* computational couture > http://www.kickstarter.com/projects/rhymeandreason/continuum-computational-couture?ref=live | * computational couture > http://www.kickstarter.com/projects/rhymeandreason/continuum-computational-couture?ref=live |
| * hexagonal paper dress > http://unlimiteddesigncontest.org/en/node/58/manual |
* http://www.sew-brilliant.org/ | * http://www.sew-brilliant.org/ |
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