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5-simplex

In five-dimensional geometry, a 5-simplex is a self-dual regular 5-polytope. It has six vertices, 15 edges, 20 triangle faces, 15 tetrahedral cells, and 6 5-cell facets. It has a dihedral angle of cos−1(.mw-parser-output .sfrac{white-space:nowrap}.mw-parser-output .sfrac.tion,.mw-parser-output .sfrac…

Lower symmetry forms, Related uniform 5-polytopes & Regular hexateron cartesian coordinates

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Lower symmetry forms

ApexVertex figures6-polytopesTruncated 6-cubeBitruncated
9 related topics

Related uniform 5-polytopes

CoxeterHosohedronDihedronUniform polyteraCoxeter group
6 related topics

Regular hexateron cartesian coordinates

Cartesian coordinatesHyperplane6-orthoplexRectified 6-cube
4 related topics

Overview

Five-dimensionalGeometrySimplexRegular5-polytope
12 related topics

Topics to explore

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Overview

Alternate names

As a configuration

Regular hexateron cartesian coordinates

Lower symmetry forms

Compound

Related uniform 5-polytopes

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Map overview Semantic statistics

5-simplex

Nodes44
Edges43
Triples7
Avg. degree1.95
Density0.045455
Components1

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5-simplex

Top relations

related to Compound · 3
5-simplex → A6 Coxeter, The, This
is a · 2
5-simplex → self-dual regular 5-polytope, solution to the problem
related to As a configuration · 2
5-simplex → The, This

Important terminology Word statistics

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Important terminology

regular polytopes doi s2cid 10 semi-regular vertices coxeter paper math zeit 1007 uniform symmetry order hexateron isbn 5-cell edges iii

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
5-simplexis aself-dual regular 5-polytope0.90text
5-simplexis asolution to the problem0.90text
5-simplexrelated to As a configurationThis0.60section
5-simplexrelated to As a configurationThe0.60section
5-simplexrelated to CompoundThe0.60section
5-simplexrelated to CompoundA6 Coxeter0.60section
5-simplexrelated to CompoundThis0.60section

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    Min side: 3
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