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Dual polyhedron

In geometry, every polyhedron is associated with a second dual structure, wherein the vertices of one correspond to the faces of the other and the edges between pairs of vertices of one correspond to the edges between pairs of faces of the other. Such dual figures remain combinatorial or abstract polyhedra, but not all can also be constructed as…

Dual polytopes and tessellations, Kinds of duality & Overview

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Overview

Kinds of duality

Self-dual polyhedra

Dual polytopes and tessellations

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Map overview Semantic statistics

Dual polyhedron

Nodes81
Edges80
Triples23
Avg. degree1.98
Density0.024691
Components1

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Dual polyhedron

Top relations

related to Self-dual polyhedra · 8
Dual polyhedron → Abstractly, But, Every, For, Geometrically, Hasse, Similarly, Topologically
related to External links · 6
Dual polyhedron → Dual, Eric, MathWorld, MathWorldWeisstein, Self-dual, Weisstein
related to Topological duality · 5
Dual polyhedron → Even, Schlegel, Such, The, This
is a · 1
Dual polyhedron → dual graph of the original graph.More generally

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Important terminology

dual polyhedron polyhedra self-dual vertices duality edges regular faces form convex sphere vertex one polar midsphere displaystyle every canonical two

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Dual polyhedronis adual graph of the original graph.More generally0.90text
star polyhedrainstance ofBut for non-convex figures0.80text
when we seek to rigorously define this form of polyhedral duality in terms of projective polarityinstance ofBut for non-convex figures0.80text
various problems appearinstance ofBut for non-convex figures0.80text
Dual polyhedronrelated to External linksWeisstein0.60section
Dual polyhedronrelated to External linksEric0.60section
Dual polyhedronrelated to External linksDual0.60section
Dual polyhedronrelated to External linksMathWorldWeisstein0.60section
Dual polyhedronrelated to External linksSelf-dual0.60section
Dual polyhedronrelated to External linksMathWorld0.60section
Dual polyhedronrelated to Self-dual polyhedraTopologically0.60section
Dual polyhedronrelated to Self-dual polyhedraAbstractly0.60section

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    Min side: 3
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