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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
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
Citation:
I. Kh. Sabitov, “Algorithmic solution of the problem of isometric realization for two-dimensional polyhedral metrics”, Izv. Math., 66:2 (2002), 377–391
Linking options:
https://www.mathnet.ru/eng/im382https://doi.org/10.1070/IM2002v066n02ABEH000382 https://www.mathnet.ru/eng/im/v66/i2/p159
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Abstract page: | 780 | Russian version PDF: | 275 | English version PDF: | 15 | References: | 66 | First page: | 3 |
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