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

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

2010-02-20

arxiv.org/abs/1002.3884v3

Siberian Math. J. 52, no. 1 (2011), 131-138

Mathematics

Metric Geometry

10 pages, 2 Postscript figures

Scientific paper

10.1134/S0037446606010149

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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