**Beiträge zur Algebra und Geometrie
**

Contributions to Algebra and Geometry

Vol. 39, No. 2, pp. 367-378 (1998)

#
Sufficient Conditions for the Extendibility of an $n$-th Order Flex of Polyhedra

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Victor Alexandrov

Sobolev Institute of Mathematics, Novosibirsk-90, 630090, Russia, e-mail: alex@math.nsc.ru

**Abstract:** A new approach to describing a high order flex of polyhedra is given. Sufficient conditions are derived under which an infinitesimal flex of polyhedra has an extension to an authentic flex. It is shown that one set of these conditions is fulfilled for Bricard octahedra.

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