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An example of a flexible polyhedron with nonconstant volume in the spherical space

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Publication:1356592
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zbMath0881.52007MaRDI QIDQ1356592

Victor Alexandrov

Publication date: 9 June 1997

Published in: Beiträge zur Algebra und Geometrie (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/227031


zbMATH Keywords

flexible polyhedronBellows conjecturehalf-spherespherical digons


Mathematics Subject Classification ID

(n)-dimensional polytopes (52B11)


Related Items (10)

Flexible polyhedra and their volumes ⋮ Infinitesimal bending influence on the volume change ⋮ Lifting degenerate simplices with a single volume constraint ⋮ The Moscow Mathematical Society and metric geometry: from Peterson to contemporary research ⋮ Embedded flexible spherical cross-polytopes with nonconstant volumes ⋮ Rigidity and volume preserving deformation on degenerate simplices ⋮ An infinitesimally nonrigid polyhedron with nonstationary volume in the Lobachevskiĭ 3-space ⋮ Dehn invariant and scissors congruence of flexible polyhedra ⋮ On the Existence of Paradoxical Motions of Generically Rigid Graphs on the Sphere ⋮ Volumes of polyhedra in non-Euclidean spaces of constant curvature




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