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4-polytope

In geometry, a 4-polytope (sometimes also called a polychoron, polycell, or polyhedroid) is a four-dimensional polytope. It is a connected and closed figure, composed of lower-dimensional polytopal elements: vertices, edges, faces (polygons), and cells (polyhedra). Each face is shared by exactly two cells. The 4-polytopes were discovered by the Swiss…

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Overview

Definition

Geometry

Visualisation

Topological characteristics

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Map overview Semantic statistics

4-polytope

Nodes99
Edges98
Triples35
Avg. degree1.98
Density0.020202
Components1

How this topic connects Entity context

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4-polytope

Top relations

related to Criteria · 12
4-polytope → Cartesian, Euclidean, Johnson, Kepler, Like, Poinsot, Self-intersecting, Such, The, There, This, Thorold Gosset
related to Geometry · 4
4-polytope → Complexity, Each, Platonic, The
related to Topological characteristics · 4
4-polytope → Betti, Euler, The, This
see also · 4
4-polytope → It, Regular, The, This
is a · 3
4-polytope → closed four-dimensional figure, polygon, tesseract or hypercube
related to Definition · 3
4-polytope → Each, It, Like
related to Visualisation · 3
4-polytope → Orthogonal, Several, They
related to Classes · 2
4-polytope → The, Uniform

Important terminology Word statistics

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Important terminology

regular cells 4-polytopes uniform polytopes coxeter convex semi-regular faces polyhedra polyhedron paper math zeit two 3-space vertices edges also four-dimensional

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
4-polytopeis apolygon0.90text
4-polytopeis aclosed four-dimensional figure0.90text
4-polytopeis atesseract or hypercube0.90text
4-polytoperelated to ClassesThe0.60section
4-polytoperelated to ClassesUniform0.60section
4-polytoperelated to CriteriaLike0.60section
4-polytoperelated to CriteriaSelf-intersecting0.60section
4-polytoperelated to CriteriaKepler0.60section
4-polytoperelated to CriteriaPoinsot0.60section
4-polytoperelated to CriteriaThis0.60section
4-polytoperelated to CriteriaThe0.60section
4-polytoperelated to CriteriaThere0.60section

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    Min side: 3
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