23 research outputs found

    A necessary flexibility condition of a nondegenerate suspension in Lobachevsky 3-space

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    We show that some combination of the lengths of all edges of the equator of a flexible suspension in Lobachevsky 3-space is equal to zero (each length is taken either positive or negative in this combination).Comment: 20 pages, 13 figure

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

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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.Comment: 10 pages, 2 Postscript figure
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