On arachnoid mechanisms formed by concatenation of arc-length parametrized curves (Q2518777)
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scientific article
| Language | Label | Description | Also known as |
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| English | On arachnoid mechanisms formed by concatenation of arc-length parametrized curves |
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On arachnoid mechanisms formed by concatenation of arc-length parametrized curves (English)
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16 January 2009
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The author studies a generalization of the arachnoid mechanism where the ``arms'' are arbitrary piecewise smooth curves of a fixed length. The initial points of the ``arms'' are vertexes of a convex polytope \(P\subset \mathbb R^3\). The author shows that the homotopy type of the configuration space of such a mechanism depends on the polar polytope \(P^{\triangle}\).
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arachnoid mechanism
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configuration space
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polytope
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0.7338680028915405
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