Rigidity and polynomial invariants of convex polytopes

DOI10.1215/S0012-7094-05-12926-XzbMath1081.52012OpenAlexW1994735876MaRDI QIDQ2572640

Maksym Fedorchuk, Igor Pak

Publication date: 4 November 2005

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-05-12926-x

zbMATH Keywords

rigiditypolynomial invariantsflexible polyhedronHéron polynomialpolytope graph

Mathematics Subject Classification ID

Three-dimensional polytopes (52B10) Polyhedra and polytopes; regular figures, division of spaces (51M20) Rigidity and flexibility of structures (aspects of discrete geometry) (52C25) Length, area and volume in real or complex geometry (51M25)

Related Items (10)

Integrated Circumradius and Area Formulae for Cyclic Pentagons and Hexagons ⋮ Configuration spaces and signature formulas ⋮ A Pseudopolynomial Algorithm for Alexandrov’s Theorem ⋮ Constructing uniquely realizable graphs ⋮ Critical configurations of planar multiple penduli ⋮ Spaces of polygonal triangulations and Monsky polynomials ⋮ Alexandrov's theorem, weighted Delaunay triangulations, and mixed volumes ⋮ On the areas of cyclic and semicyclic polygons ⋮ Cyclic polygons are critical points of area ⋮ Comments on generalized Heron polynomials and Robbins' conjectures

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