FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2006, VOLUME 12, NUMBER 1, PAGES 143-165

Nonflexible polyhedra with small number of verticies

I. G. Maksimov

Abstract

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The paper shows which embedded and immersed polyhedra with no more than eight vertices are nonflexible. It turns out that all embedded polyhedra are nonflexible, possibly, except for polyhedra of one of the combinatorial types, for which the problem remains still open.

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Last modified: July 8, 2006