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arxiv: 1002.3884 · v3 · pith:XKW7DSONnew · submitted 2010-02-20 · 🧮 math.MG

An infinitesimally nonrigid polyhedron with nonstationary volume in the Lobachevsky 3-space

classification 🧮 math.MG
keywords polyhedronflexinfinitesimallylobachevskynonrigidspacevolumeconstruct
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We give an example of an infinitesimally nonrigid polyhedron in the Lobachevsky 3-space and construct an infinitesimal flex of that polyhedron such that the volume of the polyhedron isn't stationary under the flex.

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