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

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(⁠1/5⁠), or approximately 78.46°.

Language: English [EN]
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5-simplex topic overview

The analysis highlights Lower symmetry forms, Related uniform 5-polytopes and Regular hexateron cartesian coordinates as prominent areas in the source structure around 5-simplex.

Related topics
36
Source areas
7
Connected nodes
43
Extracted relationships
7
Concept neighborhoods
24
Bridge connections
43

What this topic covers Research coverage

Source areas are shown by the number of related topics found in each part of the analysis. Use smaller areas too: they can reveal specialized angles and content gaps.

Overview · 12 topics
Lower symmetry forms · 9 topics
Related uniform 5-polytopes · 6 topics
Regular hexateron cartesian coordinates · 4 topics
Alternate names · 2 topics
Compound · 2 topics
As a configuration · 1 topics

Smaller areas are not necessarily less important. They contain fewer connections in this analysis and can be useful for finding specialized angles or coverage gaps.

Explore all related topics Closing gaps

Browse the complete topic structure, not only the most central items. Less prominent entities and concepts can reveal missing angles, specialized context and useful research gaps. Each item opens a new analysis centered on that subject.

Overview

Alternate names

As a configuration

Regular hexateron cartesian coordinates

Lower symmetry forms

Compound

Related uniform 5-polytopes

Advanced semantic analysis

Deeper signals for content research, entity SEO and topical coverage. The plain-language headings explain what each technical view is useful for.

How 5-simplex connects Entity context

The extracted context around 5-simplex shows recurring relationship patterns in the source. For example, 5-simplex → A6 Coxeter, The, This Another extracted example is 5-simplex → self-dual regular 5-polytope, solution to the problem. Use these groups to spot repeated connection types before inspecting the individual relationships.

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

Use these terms to understand the vocabulary surrounding the topic, not as a checklist for keyword stuffing.

Important terminology

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

5-simplex relationships Subject–Predicate–Object triples

TTTA extracted 7 structured relationships around 5-simplex. Examples in this analysis include 5-simplex → is a → self-dual regular 5-polytope and 5-simplex → is a → solution to the problem. The table shows each extracted connection, where it came from and its confidence.

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

Related concept clusters Concept neighborhoods

The concept neighborhoods around 5-simplex bring nearby vocabulary together. In this analysis, examples include Vertices, Edges and Coxeter. Use the clusters to find adjacent concepts and terminology that may deserve separate research.

  • vertices
    • Edges
    • Faces
    • Cells
    • 5-cell
    • 5-simplex
    • Hexateron
    • Coxeter
    • Order
    • Matrix
    • Triangle
    • Compound
    • Facets
  • regular hexateron cartesian coordinates
    • Semi-regular
    • Polytopes
    • Paper
    • S2cid
    • Iii
    • Vertices
    • Matrix
    • Figures
    • Compound
    • Vertex
    • 6-cube
    • Seen
  • regular
    • Semi-regular
    • Polytopes
    • Paper
    • S2cid
    • Iii
    • Figures
    • 6-cube
    • Seen
    • Vertex
    • Isbn
    • Coxeter
    • Uniform
  • 5-simplex
    • Vertices
    • Edges
    • Coxeter
    • Uniform
    • Regular
    • Matrix
    • Triangle
    • Compound
    • Figures
    • Seen
    • Vertex
    • Hexateron
  • 5-simplex
    • Vertices
    • Edges
    • Coxeter
    • Uniform
    • Regular
    • Matrix
    • Triangle
    • Compound
    • Figures
    • Seen
    • Vertex
    • Hexateron
  • omnitruncated 5-simplex honeycomb
    • Vertices
    • Edges
    • Coxeter
    • Uniform
    • Regular
    • Matrix
    • Triangle
    • Compound
    • Figures
    • Seen
    • Vertex
    • Hexateron
  • birectified 5-simplex
    • Vertices
    • Edges
    • Coxeter
    • Uniform
    • Regular
    • Matrix
    • Triangle
    • Compound
    • Figures
    • Seen
    • Vertex
    • Hexateron
  • 5-cell
    • Cells
    • Faces
    • Matrix
    • Triangle
    • Vertices
    • Facets
    • Tetrahedral
    • Edges
    • Form
    • Vertex
    • Hexateron
    • Order

Connections between topic areas Semantic bridges

For 5-simplex, one of the stronger structural bridges in this analysis connects 5-simplex with Overview. Bridges highlight paths between different parts of the map and can reveal research angles that are easy to miss in a flat list.

Min side: 3
5-simplex — Overview · splits 31 ⟂ 13
5-simplex — Lower symmetry forms · splits 34 ⟂ 10
5-simplex — Related uniform 5-polytopes · splits 37 ⟂ 7
5-simplex — Regular hexateron cartesian coordinates · splits 39 ⟂ 5
5-simplex — Alternate names · splits 41 ⟂ 3
5-simplex — Compound · splits 41 ⟂ 3

Map overview Semantic statistics

5-simplex

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

Source & methodology

TTTA analyzes the structure around 5-simplex to surface related topics, entities, relationships, concept neighborhoods and bridge connections. Use the map to explore areas such as Lower symmetry forms, Related uniform 5-polytopes & Regular hexateron cartesian coordinates, including less central topics that may reveal useful research gaps. Automatically extracted connections are research leads rather than rewritten encyclopedia content.

Source: Wikipedia — 5-simplex · EN edition · Analysis: TopicsToTalkAbout

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