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mathematickal_arts_2011 [2011-07-29 18:46] – nik | mathematickal_arts_2011 [2012-11-28 14:13] – 83.101.5.51 |
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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_2011.pdf}} | |
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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). |
* Martaque | * Martaque |
* Pieter Slock | * Pieter Slock |
* Eug�nie Poste | * Eugénie Poste |
* Wendy van Wynsberghe | * Wendy van Wynsberghe |
* Fabian Feraux | * Fabian Feraux |
* St�phanie 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. |
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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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* 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 �tienne Cliquet) | * http://ordigami.net (artist Etienne Cliquet) |
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References to practical exercises: | References to practical exercises: |
* Using origami folding to create hyperbolic paraboloids (http://erikdemaine.org/hypar/hypar_folding_150.gif) | * Using origami folding to create hyperbolic paraboloids (http://erikdemaine.org/hypar/hypar_folding_150.gif) |
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Ideas for day 2: Macram� to find out about different knot theories. Japanese bondage technique to avoid knots, installation with ropes. Remixing folds and knots, weaving the space, turning scribbles into weaves, weaves into knots... | Ideas for day 2: Macramé to find out about different knot theories. Japanese bondage technique to avoid knots, installation with ropes. Remixing folds and knots, weaving the space, turning scribbles into weaves, weaves into knots... |
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{{http://farm7.static.flickr.com/6124/5984773160_32273913ce.jpg}} | {{http://farm7.static.flickr.com/6124/5984773160_32273913ce.jpg}} |
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Wendy, Stephanie and Eug�nie explored creating origami patterns by knotting textiles - building a vocabulary of dots, lines, squares, triangles - connecting mathematical geometry to the physical gestures of sowing and pleating. By combining different elements (symbols), new forms arise, it is like programming pleats. After the pleats are sown, they are ironed. The patterns are inspired by paper origami, but behave quite differently in the textile medium. By developing their own vocabulary of pleats, the group could begin to see cause and effect (if i do this, this happens), and came to their own conjunctures from which they could begin designing their own patterns, without premade manuals & models. | Wendy, Stephanie and Eugénie explored creating origami patterns by knotting textiles - building a vocabulary of dots, lines, squares, triangles - connecting mathematical geometry to the physical gestures of sowing and pleating. By combining different elements (symbols), new forms arise, it is like programming pleats. After the pleats are sown, they are ironed. The patterns are inspired by paper origami, but behave quite differently in the textile medium. By developing their own vocabulary of pleats, the group could begin to see cause and effect (if i do this, this happens), and came to their own conjunctures from which they could begin designing their own patterns, without premade manuals & models. |
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The group observed the difference in dimensionality between different materials - sown fabric produced 2 1/2 D, fabric and wood can be reversed from 2d to 3d and back again, while steamed organza patterns always stay 3D. | The group observed the difference in dimensionality between different materials - sown fabric produced 2 1/2 D, fabric and wood can be reversed from 2d to 3d and back again, while steamed organza patterns always stay 3D. |
In addition to origami textiles, Wendy and Stephanie created crocheted hyperbolic sausages that they saw as inspirations for folding and origami books, both in paper and in textile. | In addition to origami textiles, Wendy and Stephanie created crocheted hyperbolic sausages that they saw as inspirations for folding and origami books, both in paper and in textile. |
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Eug�nie works together with dancers and is interested in making folds that can follow joints. Wendy will joing her from a Dance & Technology angle - thinking about making completely fabric sensors. The origami folds might help creating a third dimension in a fabric that moves on the body of a dancer. They will continue exploring different materials and colours to exaggerate the movement. | Eugénie works together with dancers and is interested in making folds that can follow joints. Wendy will joing her from a Dance & Technology angle - thinking about making completely fabric sensors. The origami folds might help creating a third dimension in a fabric that moves on the body of a dancer. They will continue exploring different materials and colours to exaggerate the movement. |
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== Ascii weaving == | == Ascii weaving == |
{{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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