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Nonflexible polyhedra with a small number of vertices

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Abstract

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, except possibly for polyhedra of one of the combinatorial types, for which the problem still remains open.

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Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 12, No. 1, pp. 143–165, 2006.

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Maksimov, I.G. Nonflexible polyhedra with a small number of vertices. J Math Sci 149, 956–970 (2008). https://doi.org/10.1007/s10958-008-0037-9

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  • DOI: https://doi.org/10.1007/s10958-008-0037-9

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