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

Abstract

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).

arXiv comment20 pages, 13 figures

References in corpus (1)

• The Dehn invariants of the Bricard octahedra

Cited by in corpus (1)

• Recognition of affine-equivalent polyhedra by their natural developments