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

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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).

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References

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Authors and Affiliations

  1. MIOMO, Krasnogorsk, Russia

    I. G. Maksimov

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  1. I. G. Maksimov
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Correspondence to I. G. Maksimov.

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Original Russian Text Copyright © 2010 Maksimov I. G.

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Maksimov, I.G. Study of flexible algorithmically 1-parametric polyhedra and description of a set of rigid embedded polyhedra. Sib Math J 51, 1081–1090 (2010). https://doi.org/10.1007/s11202-010-0106-4

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  • DOI: https://doi.org/10.1007/s11202-010-0106-4

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