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• W1994735876 abstract "We present an algebraic approach to the classical problem of constructing a simplicial convex polytope given its planar triangulation and lengths of its edges. We introduce polynomial invariants of a polytope and show that they satisfy polynomial relations in terms of squares of edge lengths. We obtain sharp upper and lower bounds on the degree of these polynomial relations. In a special case of regular bipyramid we obtain explicit formulae for some of these relations. We conclude with a proof of the Robbins conjecture on the degree of generalized Heron polynomials." @default.
• W1994735876 created "2016-06-24" @default.
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• W1994735876 date "2005-08-15" @default.
• W1994735876 modified "2023-10-06" @default.
• W1994735876 title "Rigidity and polynomial invariants of convex polytopes" @default.
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• W1994735876 doi "https://doi.org/10.1215/s0012-7094-05-12926-x" @default.
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