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Regular 4-polytope

In mathematics, a regular 4-polytope or regular polychoron is a regular four-dimensional polytope. They are the four-dimensional analogues of the regular polyhedra in three dimensions and the regular polygons in two dimensions.

History, Regular convex 4-polytopes & Regular star (Schläfli–Hess) 4-polytopes

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Overview

History

Construction

Regular convex 4-polytopes

Properties

Regular star (Schläfli–Hess) 4-polytopes

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Map overview Semantic statistics

Regular 4-polytope

Nodes56
Edges55
Triples40
Avg. degree1.96
Density0.035714
Components1

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Regular 4-polytope

Top relations

related to External links · 12
Regular 4-polytope → Catalog, Eric, Jonathan Bowers, MathWorld, PolychoraHypersolids, Polytope Foldouts Archived, Polytope Images, Regular, Reguläre PolytopeThe Regular Star, Uniform PolytopesDimensions, Wayback MachineCatalog, Weisstein
see also · 9
Regular 4-polytope → Abstract, Eleven, Euclidean, Four, One, Platonic, Poinsot, Regular, Uniform
related to history · 7
Regular 4-polytope → Euler, He, Ludwig Schläfli, Schläfli, Swiss, That, The
related to Properties · 4
Regular 4-polytope → Coxeter, Each, Like, The
related to Regular convex 4-polytopes · 4
Regular 4-polytope → Each, Platonic, The, These
related to As configurations · 2
Regular 4-polytope → For, The
related to Construction · 1
Regular 4-polytope → The

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Important terminology

regular 4-polytopes 4-polytope cells convex star schläfli polytope polyhedra 120-cell great vertex six four-dimensional names 600-cell figures stellated projections polygons

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
the great dodecahedroninstance ofThat excludes cells and vertex figures0.80text
Regular 4-polytoperelated to As configurationsThe0.60section
Regular 4-polytoperelated to As configurationsFor0.60section
Regular 4-polytoperelated to ConstructionThe0.60section
Regular 4-polytoperelated to External linksWeisstein0.60section
Regular 4-polytoperelated to External linksEric0.60section
Regular 4-polytoperelated to External linksRegular0.60section
Regular 4-polytoperelated to External linksMathWorld0.60section
Regular 4-polytoperelated to External linksJonathan Bowers0.60section
Regular 4-polytoperelated to External linksPolytope Foldouts Archived0.60section
Regular 4-polytoperelated to External linksWayback MachineCatalog0.60section
Regular 4-polytoperelated to External linksPolytope Images0.60section

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