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Flexible polyhedron

In geometry, a flexible polyhedron is a polyhedral surface without any boundary edges, whose shape can be continuously changed while keeping the shapes of all of its faces unchanged. The Cauchy rigidity theorem shows that in dimension 3 such a polyhedron cannot be convex (this is also true in higher dimensions).

Examples, Bellows conjecture & Scissor congruence

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Overview

Examples

Bellows conjecture

Scissor congruence

Generalizations

Advanced semantic analysis

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Map overview Semantic statistics

Flexible polyhedron

Nodes36
Edges35
Triples33
Avg. degree1.94
Density0.055556
Components1

How this topic connects Entity context

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Flexible polyhedron

Top relations

related to Bellows conjecture · 12
Flexible polyhedron → Connelly, Francesca's, In, Kh, Piero, RobertConnelly, Sabitov, Since, Sullivan, The, This, Walz
related to Examples · 10
Flexible polyhedron → Bricard, Bricard's, Connelly, Euclidean, It, RaoulBricard, RobertConnelly, Steffen's, The, They
related to External links · 5
Flexible polyhedron → Bellows, Eric, Flexible, MathWorld, Weisstein
related to Scissor congruence · 5
Flexible polyhedron → Because, Connelly, Dehn, The, This
is a · 1
Flexible polyhedron → polyhedral surface without any boundary edges

Important terminology Word statistics

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Important terminology

polyhedron flexible volume conjecture invariant bellows also polyhedral edges continuously polyhedra octahedra connelly another lengths dehn surface whose theorem shows

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Flexible polyhedronis apolyhedral surface without any boundary edges0.90text
Flexible polyhedronrelated to Bellows conjectureIn0.60section
Flexible polyhedronrelated to Bellows conjectureConnelly0.60section
Flexible polyhedronrelated to Bellows conjectureSullivan0.60section
Flexible polyhedronrelated to Bellows conjectureThis0.60section
Flexible polyhedronrelated to Bellows conjectureKh0.60section
Flexible polyhedronrelated to Bellows conjectureSabitov0.60section
Flexible polyhedronrelated to Bellows conjectureRobertConnelly0.60section
Flexible polyhedronrelated to Bellows conjectureWalz0.60section
Flexible polyhedronrelated to Bellows conjectureThe0.60section
Flexible polyhedronrelated to Bellows conjecturePiero0.60section
Flexible polyhedronrelated to Bellows conjectureFrancesca's0.60section

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    Min side: 3
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