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Flexible polyhedra in Minkowski 3-space - MaRDI portal

Flexible polyhedra in Minkowski 3-space (Q1401511)

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Flexible polyhedra in Minkowski 3-space
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    Flexible polyhedra in Minkowski 3-space (English)
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    17 August 2003
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    The author considers flexibility of polyhedra in a Minkowski 3-space, i.e., in a linear space consisting of all ordered triples \((x_1,x_2, x_3)\) endowed with the scalar product \((x,y)=x_1y_1 +x_2y_2-x_3y_3\). He confirms the existence of (non-immersed) flexible polyhedra in such a space, and that any of them preserves the (generalized) volume and the (total) mean curvature during a flex. His arguments are based on the notion of an angle in a Minkowski 2-space.
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    orientable polyhedron
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    Minkowski 3-space
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    flexible polyhedra
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    volume
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    mean curvature
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