This article is cited in 1 paper

Study of flexible algorithmically 1-parametric polyhedra and description of a set of rigid embedded polyhedra

I. G. Maksimov

Krasnogorsk, Moscow reg.

Abstract: Some formulas are given that describe how the lengths of diagonals of algorithmically 1-para-metric polyhedra and their volumes depend on the bending parameter. By way of application, we present flexibility equations and prove the rigidity of an embedded gluing of two suspensions (bipyramids).

Keywords: flexible polyhedron, bending, volume of a polyhedron.

UDC: 514.113+514.772.35

Received: 04.09.2009
Revised: 18.01.2010

 English version: Siberian Mathematical Journal, 2010, 51:6, 1081–1090

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