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mathematickal_arts_2011 [2011-07-28 17:32] – 83.101.5.51 | mathematickal_arts_2011 [2012-01-25 14:11] – nik | ||
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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 | ||
- | |||
Mathematickal arts workshop is organised by FoAM, as a part of Resilients (http:// | Mathematickal arts workshop is organised by FoAM, as a part of Resilients (http:// | ||
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* Martaque | * Martaque | ||
* Pieter Slock | * Pieter Slock | ||
- | * Eugénie | + | * Eugenie |
* Wendy van Wynsberghe | * Wendy van Wynsberghe | ||
* Fabian Feraux | * Fabian Feraux | ||
- | * Stéphanie | + | * Stephanie |
* 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:// | + | 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:// |
+ | |||
+ | Slides from the presentation: | ||
+ | |||
+ | 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:// | * group theory and different types of symmetries (http:// | ||
* tesselation, | * tesselation, | ||
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{{http:// | {{http:// | ||
- | " | + | " |
http:// | http:// | ||
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* anarchiste origami > http:// | * anarchiste origami > http:// | ||
* http:// | * http:// | ||
- | * http:// | + | * http:// |
References to practical exercises: | References to practical exercises: | ||
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* Using origami folding to create hyperbolic paraboloids (http:// | * Using origami folding to create hyperbolic paraboloids (http:// | ||
- | Ideas for day 2: Macramé | + | Ideas for day 2: Macram� |
==== 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 ' | + | 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 ' |
"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." | "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." | ||
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* each individual could be given a set of instructions, | * each individual could be given a set of instructions, | ||
* 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/ | + | * the instructions could be relative to the previous action (stay/ |
* ... | * ... | ||
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{{http:// | {{http:// | ||
- | Wendy, Stephanie and Eugénie | + | Wendy, Stephanie and Eug�nie |
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. | ||
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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. | ||
- | Eugénie | + | Eug�nie |
== Ascii weaving == | == Ascii weaving == | ||
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{{http:// | {{http:// | ||
{{http:// | {{http:// | ||
+ | |||
+ | See more detail here: | ||
+ | * [[http:// | ||
+ | * [[http:// | ||
==== Conclusion: what happens when you bring maths & textiles together? ==== | ==== Conclusion: what happens when you bring maths & textiles together? ==== | ||
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* book: http:// | * book: http:// | ||
+ | * book: origami tesselations by Eric Gjerde http:// | ||
* blogpost on knitting and debian > http:// | * blogpost on knitting and debian > http:// | ||
* on miat > http:// | * on miat > http:// | ||
* computational couture > http:// | * computational couture > http:// | ||
+ | * hexagonal paper dress > http:// | ||
* http:// | * http:// | ||