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mathematickal_arts_2011 [2011-07-28 17:32] – 83.101.5.51mathematickal_arts_2011 [2020-06-09 10:10] (current) – 77.109.114.178
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 ===== Mathematickal Arts===== ===== Mathematickal Arts=====
  
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 "To me the simple act of tying a knot is an adventure in unlimited space. A bit of string affords the dimensional latitude that is unique among the entities. For an uncomplicated strand is a palpable object that, for all practical purposes, possesses one dimension only. If we move a single strand out of the plane, interlacing at will, actual objects of beauty result in what is practically two dimensions; and if we choose to direct our strand out of this plane, another dimension is added which provides an opportunity that is limited only by the scope of our own imagery and the length of a ropemakers coil." "To me the simple act of tying a knot is an adventure in unlimited space. A bit of string affords the dimensional latitude that is unique among the entities. For an uncomplicated strand is a palpable object that, for all practical purposes, possesses one dimension only. If we move a single strand out of the plane, interlacing at will, actual objects of beauty result in what is practically two dimensions; and if we choose to direct our strand out of this plane, another dimension is added which provides an opportunity that is limited only by the scope of our own imagery and the length of a ropemakers coil."
 -The Book of Knots, Clifford W Ashley  -The Book of Knots, Clifford W Ashley 
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 Mathematickal arts workshop is organised by FoAM, as a part of Resilients (http://resilients.net) and Splinterfields (http://fo.am/splinterfields). The hypothesis of the workshop is that cultural resilience can be increased by (1) supporting a community of generalists able to connect disparate concepts and disciplines together, as well as (2) connecting traditional disciplines (such as mathematics and textile crafts) with contemporary and emerging technologies (such as computer programming or bioinformatics).  Mathematickal arts workshop is organised by FoAM, as a part of Resilients (http://resilients.net) and Splinterfields (http://fo.am/splinterfields). The hypothesis of the workshop is that cultural resilience can be increased by (1) supporting a community of generalists able to connect disparate concepts and disciplines together, as well as (2) connecting traditional disciplines (such as mathematics and textile crafts) with contemporary and emerging technologies (such as computer programming or bioinformatics). 
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   * Wendy van Wynsberghe   * Wendy van Wynsberghe
   * Fabian Feraux   * Fabian Feraux
-  * Stéphanie Vilayphiou+  * Stephanie Vilayphiou
   * Miska Knapek   * Miska Knapek
   * Dave Griffiths   * Dave Griffiths
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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.  
 + 
 +Slides from the presentation: {{mathematickal_arts_2011.pdf}} 
 + 
 +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)
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 {{http://farm7.static.flickr.com/6017/5984205895_89eff2a94f.jpg}} {{http://farm7.static.flickr.com/6017/5984205895_89eff2a94f.jpg}}
  
-"Cutting a Möbius 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."+"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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   * anarchiste origami > http://www.le-crimp.org/spip.php?page=documents&id_article=11   * anarchiste origami > http://www.le-crimp.org/spip.php?page=documents&id_article=11
   * http://www.tsg.ne.jp/TT/software/index.html   * http://www.tsg.ne.jp/TT/software/index.html
-  * http://ordigami.net (artist Étienne Cliquet)+  * http://ordigami.net (artist Etienne Cliquet)
  
 References to practical exercises:  References to practical exercises: 
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 ==== Day 2: 20110724 ==== ==== Day 2: 20110724 ====
  
-Pieter - one of the participants at the workshop - recently graduated by developing software to parametrically design foldable architecture. He demonstrated two models of origami-like architectural structures, that he used to test his software. The structures begin as a flat plane, with a textile sandwiched between two layers of wooden panels, combined in such a way that when lifted up in a third dimension, the shape will form folds through mountains and valleys held together by waterproof textile 'hinges'.  The result is an organic, seemingly fragile, but robust and adaptive form -  inspiring for people interested in making resilient nomadic shelters…+Pieter - one of the participants at the workshop - recently graduated by developing software to parametrically design foldable architecture. He demonstrated two models of origami-like architectural structures, that he used to test his software. The structures begin as a flat plane, with a textile sandwiched between two layers of wooden panels, combined in such a way that when lifted up in a third dimension, the shape will form folds through mountains and valleys held together by waterproof textile 'hinges'.  The result is an organic, seemingly fragile, but robust and adaptive form -  inspiring for people interested in making resilient nomadic shelters 
  
 "An organism is so complex a thing, and growth so complex a phenomenon, that for growth to be so uniform and constant in all the parts as to keep the whole shape unchanged would indeed be an unlikely and an unusual circumstance. Rates vary, proportions change, and the whole configuration alters accordingly." - D'Arcy Wentworth Thompson "An organism is so complex a thing, and growth so complex a phenomenon, that for growth to be so uniform and constant in all the parts as to keep the whole shape unchanged would indeed be an unlikely and an unusual circumstance. Rates vary, proportions change, and the whole configuration alters accordingly." - D'Arcy Wentworth Thompson
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   * each individual could be given a set of instructions, e.g. action 1: lower left raise right rope, action 2 - lift both ropes, action 3 - lower both ropes. Follow the sequence 1322331212123   * each individual could be given a set of instructions, e.g. action 1: lower left raise right rope, action 2 - lift both ropes, action 3 - lower both ropes. Follow the sequence 1322331212123
   * the instructions could be relative to their immediate neighbours (e.g mirror your neighbour)   * the instructions could be relative to their immediate neighbours (e.g mirror your neighbour)
-  * the instructions could be relative to the previous action (stay/change…)+  * the instructions could be relative to the previous action (stay/change )
   * ...   * ...
  
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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/]]
  
 ==== 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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