This article is cited in 4 papers

Volume increasing isometric deformations of polyhedra

G. A. Samarin

119992 Moscow, Leninskie gory, MSU, Faculty of Mechanics and Mathematics

Abstract: We prove that any bounded polyhedron in 3 dimensional space can be isometrically deformed so as to enclose greater volume.

Key words: polyhedron, development, realization, isometric deformation, volume.

UDC: 519.63

Received: 10.10.2008
Revised: 17.11.2009

Language: English

 English version: Computational Mathematics and Mathematical Physics, 2010, 50:1, 54–64

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