23 research outputs found
A necessary flexibility condition of a nondegenerate suspension in Lobachevsky 3-space
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
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