Triaugmented triangular prism

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Triaugmented triangular prism topic overview

The analysis highlights Applications, Fritsch graph and Dual associahedron as prominent areas in the source structure around Triaugmented triangular prism.

Related topics: 56
Source areas: 6
Connected nodes: 62
Extracted relationships: 51
Concept neighborhoods: 32
Bridge connections: 62

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 · 17 topics

Applications · 9 topics

Dual associahedron · 9 topics

Fritsch graph · 9 topics

Construction · 6 topics

Properties · 6 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.

Key facts & relationships

High-confidence facts extracted from structured source data. Use them as anchors for further research.

Dihedral angle (degrees): 109.5° 144.7° 169.5°
Dual polyhedron: Associahedron K5
Edges: 21
Faces: 14 triangles
Properties: convex, composite
Symmetry group: D 3 h {\displaystyle D_{3\mathrm {h} }}

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

Convex polyhedron
Equilateral triangles Equilateral triangle
Triangular prism
Equilateral square pyramids Equilateral square pyramid
Deltahedron
Composite polyhedron
Johnson solid
Maximal planar graph
Alfred Kempe
Four color theorem
Neighborhood Neighbourhood (graph theory)
Dual polyhedron
Associahedron
Regular hexagon
Tricapped trigonal prismatic molecular geometry
Thomson problem
Tammes problem

Construction

Properties

Closed geodesics Closed geodesic
Complementary angles
Three-dimensional symmetry group Point groups in three dimensions
Dihedral group
Dihedral angles Dihedral angle
Regular octahedron

Fritsch graph

Fritsch & Fritsch (1998) Triaugmented triangular prism
Kempe chains Kempe chain
Topological surface Manifold
Whitney triangulation Triangulation (topology)
Angular defect
Regular icosahedron
Pentagonal bipyramid
Snub disphenoid
Gyroelongated square bipyramid

Dual associahedron

Applications

Chemical compounds Chemical compound
Atom cluster
Convex hull
Lanthanides Lanthanide
Lanthanum
Dysprosium
Cations Cation
Spherical code
Inscribed in a sphere Circumscribed sphere

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 Triaugmented triangular prism connects Entity context

The extracted context around Triaugmented triangular prism shows recurring relationship patterns in the source. For example, Triaugmented triangular prism → Alfred Kempe's, An, As, Fritsch, It, Kempe, More, Soifer, The, The Fritsch, Therefore, These, They, This, Whitney Another extracted example is Triaugmented triangular prism → American, Every, Johnson, More, Norman, Repeating, The, There, These. Use these groups to spot repeated connection types before inspecting the individual relationships.

Top relations

related to Fritsch graph · 15

Triaugmented triangular prism → Alfred Kempe's, An, As, Fritsch, It, Kempe, More, Soifer, The, The Fritsch, Therefore, These, They, This, Whitney

related to Construction · 9

Triaugmented triangular prism → American, Every, Johnson, More, Norman, Repeating, The, There, These

has application · 6

Triaugmented triangular prism → For, In, Tammes, The, This, Thomson

related to Dual associahedron · 5

Triaugmented triangular prism → Dynkin, In, It, More, The

related to Properties · 5

Triaugmented triangular prism → For, Its, One, The, These

is a · 2

Triaugmented triangular prism → associahedron, composite polyhedron

Dihedral angle (degrees) · 1

Triaugmented triangular prism → 109.5° 144.7° 169.5°

Dual polyhedron · 1

Triaugmented triangular prism → Associahedron K5

Edges · 1

Triaugmented triangular prism → 21

Faces · 1

Triaugmented triangular prism → 14 triangles

Important terminology

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

Important terminology

prism triangular triaugmented polyhedron faces vertices fritsch convex graph displaystyle 14 square equilateral triangles called associahedron dual four three one

Triaugmented triangular prism relationships Subject–Predicate–Object triples

TTTA extracted 51 structured relationships around Triaugmented triangular prism. Examples in this analysis include Triaugmented triangular prism → Dihedral angle (degrees) → 109.5° 144.7° 169.5° and Triaugmented triangular prism → Dual polyhedron → Associahedron K5. The table shows each extracted connection, where it came from and its confidence.

Subject	Predicate	Object	Confidence	Src
Triaugmented triangular prism	Dihedral angle (degrees)	109.5° 144.7° 169.5°	1.00	infobox
Triaugmented triangular prism	Dual polyhedron	Associahedron K5	1.00	infobox
Triaugmented triangular prism	Edges	21	1.00	infobox
Triaugmented triangular prism	Faces	14 triangles	1.00	infobox
Triaugmented triangular prism	Properties	convex, composite	1.00	infobox
Triaugmented triangular prism	Symmetry group	D 3 h {\displaystyle D_{3\mathrm {h} }}	1.00	infobox
Triaugmented triangular prism	Type	Deltahedron, Johnson J50 – J51 – J52	1.00	infobox
Triaugmented triangular prism	Vertex configuration	3 × 3 4 + 6 × 3 5 {\displaystyle 3\times 3^{4}+6\times 3^{5}}	1.00	infobox
Triaugmented triangular prism	Vertices	9	1.00	infobox
Triaugmented triangular prism	is a	associahedron	0.90	text
Triaugmented triangular prism	is a	composite polyhedron	0.90	text
Triaugmented triangular prism	has application	In	0.60	section

Related concept clusters Concept neighborhoods

The concept neighborhoods around Triaugmented triangular prism bring nearby vocabulary together. In this analysis, examples include Triaugmented, Prism and Triangular. Use the clusters to find adjacent concepts and terminology that may deserve separate research.

Triaugmented triangular prism
- Triaugmented
- Prism
- Triangular
- Vertices
- Displaystyle
- Faces
- Equilateral
- Polyhedron
- Hexagon
- Edges
- Three
- Convex
triaugmented triangular prism
- Triaugmented
- Prism
- Triangular
- Vertices
- Displaystyle
- Faces
- Equilateral
- Polyhedron
- Dihedral
- Pyramids
- Hexagon
- Three
convex polyhedron
- Faces
- Polyhedra
- Johnson
- Equilateral
- Dual
- Triangular
- Deltahedron
- Geometry
- Prism
- Polyhedron
- Triaugmented
- Triangles
equilateral triangles
- Triangles
- Pyramids
- Faces
- Called
- Square
- Vertex
- Polyhedron
- Three
- Triangular
- Prism
- Graph
- Triaugmented
triangular prism
- Triaugmented
- Prism
- Triangular
- Displaystyle
- Vertices
- Faces
- Equilateral
- Polyhedron
- Dihedral
- Pyramids
- Three
- Edges
equilateral square pyramids
- Pyramids
- Square
- Three
- Triangles
- Faces
- Polyhedron
- Dihedral
- Triangular
- Prism
- Triaugmented
- Deltahedron
- Geometry
composite polyhedron
- Faces
- Equilateral
- Dual
- Triangular
- Prism
- Triaugmented
- Triangles
- Vertices
- Deltahedron
- Associahedron
- Four
- Called
maximal planar graph
- Fritsch
- Graphs
- Neighborhood
- Every
- Vertex
- One
- Triangles
- Vertices
- Dihedral
- Length
- Six
- Four

Connections between topic areas Semantic bridges

For Triaugmented triangular prism, one of the stronger structural bridges in this analysis connects Triaugmented triangular prism 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

Triaugmented triangular prism — Overview · splits 45 ⟂ 18

Triaugmented triangular prism — Fritsch graph · splits 53 ⟂ 10

Triaugmented triangular prism — Dual associahedron · splits 53 ⟂ 10

Triaugmented triangular prism — Applications · splits 53 ⟂ 10

Triaugmented triangular prism — Construction · splits 56 ⟂ 7

Triaugmented triangular prism — Properties · splits 56 ⟂ 7

Map overview Semantic statistics

Triaugmented triangular prism

Nodes63

Edges62

Triples51

Avg. degree1.97

Density0.031746

Components1

Source & methodology

TTTA analyzes the structure around Triaugmented triangular prism to surface related topics, entities, relationships, concept neighborhoods and bridge connections. Use the map to explore areas such as Applications, Fritsch graph & Dual associahedron, including less central topics that may reveal useful research gaps. Automatically extracted connections are research leads rather than rewritten encyclopedia content.

Source: Wikipedia — Triaugmented triangular prism · EN edition · Analysis: TopicsToTalkAbout