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Izvestiya: Mathematics, 2002, Volume 66, Issue 2, Pages 377–391
DOI: https://doi.org/10.1070/IM2002v066n02ABEH000382
(Mi im382)
 

This article is cited in 9 scientific papers (total in 9 papers)

Algorithmic solution of the problem of isometric realization for two-dimensional polyhedral metrics

I. Kh. Sabitov

M. V. Lomonosov Moscow State University
References:
Abstract: For polyhedra in general position that have a given combinatorial structure, an algorithm is suggested for finding all their metric characteristics, namely, their volumes, dihedral angles, and diagonals, from the lengths of their edges, and thus the possibility of developing a new line of geometric investigation is established, which, in analogy with the well-known term “solution of a triangle”, can be called “solution of a polyhedron”.
Received: 12.12.2000
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2002, Volume 66, Issue 2, Pages 159–172
DOI: https://doi.org/10.4213/im382
Bibliographic databases:
UDC: 513.7
Language: English
Original paper language: Russian
Citation: I. Kh. Sabitov, “Algorithmic solution of the problem of isometric realization for two-dimensional polyhedral metrics”, Izv. RAN. Ser. Mat., 66:2 (2002), 159–172; Izv. Math., 66:2 (2002), 377–391
Citation in format AMSBIB
\Bibitem{Sab02}
\by I.~Kh.~Sabitov
\paper Algorithmic solution of the problem of isometric realization for two-dimensional polyhedral metrics
\jour Izv. RAN. Ser. Mat.
\yr 2002
\vol 66
\issue 2
\pages 159--172
\mathnet{http://mi.mathnet.ru/im382}
\crossref{https://doi.org/10.4213/im382}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1918847}
\zmath{https://zbmath.org/?q=an:1076.51513}
\elib{https://elibrary.ru/item.asp?id=14288143}
\transl
\jour Izv. Math.
\yr 2002
\vol 66
\issue 2
\pages 377--391
\crossref{https://doi.org/10.1070/IM2002v066n02ABEH000382}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-4644343250}
Linking options:
  • https://www.mathnet.ru/eng/im382
  • https://doi.org/10.1070/IM2002v066n02ABEH000382
  • https://www.mathnet.ru/eng/im/v66/i2/p159
  • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
    Statistics & downloads:
    Abstract page:749
    Russian version PDF:271
    English version PDF:5
    References:55
    First page:3
     
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