The Bellows conjecture
From MaRDI portal
Publication:1356591
zbMath0939.52009MaRDI QIDQ1356591
A. Walz, Idzhad Kh. Sabitov, Robert Connelly
Publication date: 5 July 2000
Published in: Beiträge zur Algebra und Geometrie (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/223494
Length, area, volume and convex sets (aspects of convex geometry) (52A38) Rigidity and flexibility of structures (aspects of discrete geometry) (52C25) Polyhedral manifolds (52B70)
Related Items (33)
Flexible polyhedra and their volumes ⋮ Gauss rigidity and volume preservation under preserving curvature deformations for hedgehogs ⋮ Lifting degenerate simplices with a single volume constraint ⋮ Necessary conditions for the extendibility of a first-order flex of a polyhedron to its flex ⋮ The spectrum of the Laplacian in a domain bounded by a flexible polyhedron in \(\mathbb{R}^d\) does not always remain unaltered during the flex ⋮ Algebra versus analysis in the theory of flexible polyhedra ⋮ Continuous Flattening of Orthogonal Polyhedra ⋮ Origami embedding of piecewise-linear two-manifolds ⋮ Dixon-EDF: The Premier Method for Solution of Parametric Polynomial Systems ⋮ The Dehn invariants of the Bricard octahedra ⋮ Spaces of polygonal triangulations and Monsky polynomials ⋮ The Schläfli formula for polyhedra and piecewise smooth hypersurfaces. ⋮ Sabitov polynomials for volumes of polyhedra in four dimensions ⋮ Generalization of Sabitov's theorem to polyhedra of arbitrary dimensions ⋮ Continuous flattening of all polyhedral manifolds using countably infinite creases ⋮ Embedded flexible spherical cross-polytopes with nonconstant volumes ⋮ Rigidity and volume preserving deformation on degenerate simplices ⋮ On rigid origami I: piecewise-planar paper with straight-line creases ⋮ Deformations of period lattices of flexible polyhedral surfaces ⋮ The area of cyclic polygons: recent progress on Robbins' conjectures ⋮ On traces of \(d\)-stresses in the skeletons of lower dimensions of piecewise-linear \(d\)-manifolds ⋮ Dehn invariant and scissors congruence of flexible polyhedra ⋮ Continuous flattening of the 2-dimensional skeleton of a regular 24-cell ⋮ Flexible cross-polytopes in spaces of constant curvature ⋮ Origami Embedding of Piecewise-Linear Two-Manifolds ⋮ Continuous flattening of the 2-dimensional skeleton of the square faces in a hypercube ⋮ Internal continuous flattening of polyhedra ⋮ A sufficient condition for a polyhedron to be rigid ⋮ Comments on generalized Heron polynomials and Robbins' conjectures ⋮ Continuous flattening of the 2-skeletons in regular simplexes and cross-polytopes ⋮ Rigidity and polynomial invariants of convex polytopes ⋮ Volumes of polyhedra in non-Euclidean spaces of constant curvature ⋮ Hyperbolic 3-manifolds with geodesic boundary: enumeration and volume calculation
This page was built for publication: The Bellows conjecture