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Polyhedral complex

In mathematics, a polyhedral complex is a set of polyhedra in a real vector space that fit together in a specific way. Polyhedral complexes generalize simplicial complexes and arise in various areas of polyhedral geometry, such as tropical geometry, splines and hyperplane arrangements.

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Fans, Definition & Examples

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Overview

Definition

Examples

Fans

Advanced semantic analysis

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Map overview Semantic statistics

Number of nodes, edges, triples, density and central hubs. Use it to gauge the size and connectivity of the map.

Polyhedral complex

Nodes26
Edges25
Triples11
Avg. degree1.92
Density0.076923
Components1

How this topic connects Entity context

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Polyhedral complex

Top relations

related to Fans · 5
Polyhedral complex → Examples, Fundamental, The, The Gröbner, Toric
related to Examples · 4
Polyhedral complex → Simplicial, Splines, Tropical, Voronoi
is a · 1
Polyhedral complex → set of polyhedra in a real vector space that fit together in a specific way
related to Definition · 1
Polyhedral complex → Note

Important terminology Word statistics

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Important terminology

polyhedral fan tropical complex complexes polyhedra splines every polyhedron variety set simplicial geometry examples fans mathematics real vector space fit

Entity relationships Subject–Predicate–Object triples

Extracted RDF-like relationships with confidence and source. The table includes structured facts and lower-confidence contextual relations.
SubjectPredicateObjectConfidenceSrc
Polyhedral complexis aset of polyhedra in a real vector space that fit together in a specific way0.90text
Polyhedral complexrelated to DefinitionNote0.60section
Polyhedral complexrelated to ExamplesTropical0.60section
Polyhedral complexrelated to ExamplesSimplicial0.60section
Polyhedral complexrelated to ExamplesVoronoi0.60section
Polyhedral complexrelated to ExamplesSplines0.60section
Polyhedral complexrelated to FansExamples0.60section
Polyhedral complexrelated to FansThe0.60section
Polyhedral complexrelated to FansToric0.60section
Polyhedral complexrelated to FansFundamental0.60section
Polyhedral complexrelated to FansThe Gröbner0.60section

Related concept clusters Concept neighborhoods

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