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A method for solving the problem of isometric realization of developments

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Abstract

We suggest a new algorithmic solution for the problem of isometric realization of developments. For any development, a system of polynomial equations is composed such that its solutions are, in some sense, in bijective correspondence with all possible isometric realizations of the development. An important advantage of this method is the fact that it can be used in practical computations.

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Authors and Affiliations

  1. Moscow State University, Russia

    S. N. Mikhalev

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  1. S. N. Mikhalev
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Correspondence to S. N. Mikhalev.

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Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 12, No. 1, pp. 167–203, 2006.

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Mikhalev, S.N. A method for solving the problem of isometric realization of developments. J Math Sci 149, 971–995 (2008). https://doi.org/10.1007/s10958-008-0038-8

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  • DOI: https://doi.org/10.1007/s10958-008-0038-8

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