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Calculation of polyhedra. (English. Russian original) Zbl 1062.52009

Dokl. Math. 63, No. 2, 170-173 (2001); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 377, No. 2, 161-164 (2001).
The author shows that there exists an algorithm for polyhedra in general position that establishes the finiteness of the set of possible values for dihedral angles between the facets of the polyhedron and calculates those values. Thus this algorithm can verify whether a given polyhedral metric can be isometrically implemented.

MSC:

52B10 Three-dimensional polytopes
51M99 Real and complex geometry
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