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Triaugmented hexagonal prism: Overview, Related Topics & Entities

In geometry, the triaugmented hexagonal prism is one of the Johnson solids (J57). As the name suggests, it can be constructed by triply augmenting a hexagonal prism by attaching square pyramids (J1) to three of its nonadjacent equatorial faces.

Language: English [EN]
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Triaugmented hexagonal prism topic overview

The analysis highlights Overview, Related Topics and Entities as prominent areas in the source structure around Triaugmented hexagonal prism.

Related topics
12
Source areas
1
Connected nodes
13
Extracted relationships
12
Concept neighborhoods
13
Bridge connections
13

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

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.

Edges
30
Faces
12 triangles 3 squares 2 hexagons
Properties
convex
Symmetry group
D3h
Type
Johnson J56 – J57 – J58
Vertex configuration
3(34) 12(32.4.6)

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

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 hexagonal prism connects Entity context

The extracted context around Triaugmented hexagonal prism shows recurring relationship patterns in the source. For example, Triaugmented hexagonal prism → Eric, Johnson Solid, MathWorld, Triaugmented, Weisstein Another extracted example is Triaugmented hexagonal prism → 30. Use these groups to spot repeated connection types before inspecting the individual relationships.

Triaugmented hexagonal prism

Top relations

related to External links · 5
Triaugmented hexagonal prism → Eric, Johnson Solid, MathWorld, Triaugmented, Weisstein
Edges · 1
Triaugmented hexagonal prism → 30
Faces · 1
Triaugmented hexagonal prism → 12 triangles 3 squares 2 hexagons
Properties · 1
Triaugmented hexagonal prism → convex
Symmetry group · 1
Triaugmented hexagonal prism → D3h
Type · 1
Triaugmented hexagonal prism → Johnson J56 – J57 – J58
Vertex configuration · 1
Triaugmented hexagonal prism → 3(34) 12(32.4.6)
Vertices · 1
Triaugmented hexagonal prism → 15

Important terminology

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

Important terminology

johnson prism faces hexagonal polyhedra one solids j57 triaugmented solid geometry uniform prisms antiprisms name suggests constructed triply augmenting attaching

Triaugmented hexagonal prism relationships Subject–Predicate–Object triples

TTTA extracted 12 structured relationships around Triaugmented hexagonal prism. Examples in this analysis include Triaugmented hexagonal prism → Edges → 30 and Triaugmented hexagonal prism → Faces → 12 triangles 3 squares 2 hexagons. The table shows each extracted connection, where it came from and its confidence.

SubjectPredicateObjectConfidenceSrc
Triaugmented hexagonal prismEdges301.00infobox
Triaugmented hexagonal prismFaces12 triangles 3 squares 2 hexagons1.00infobox
Triaugmented hexagonal prismPropertiesconvex1.00infobox
Triaugmented hexagonal prismSymmetry groupD3h1.00infobox
Triaugmented hexagonal prismTypeJohnson J56 – J57 – J581.00infobox
Triaugmented hexagonal prismVertex configuration3(34) 12(32.4.6)1.00infobox
Triaugmented hexagonal prismVertices151.00infobox
Triaugmented hexagonal prismrelated to External linksWeisstein0.60section
Triaugmented hexagonal prismrelated to External linksEric0.60section
Triaugmented hexagonal prismrelated to External linksTriaugmented0.60section
Triaugmented hexagonal prismrelated to External linksJohnson Solid0.60section
Triaugmented hexagonal prismrelated to External linksMathWorld0.60section

Related concept clusters Concept neighborhoods

The concept neighborhoods around Triaugmented hexagonal prism bring nearby vocabulary together. In this analysis, examples include J57, Hexagonal and Prism. Use the clusters to find adjacent concepts and terminology that may deserve separate research.

  • Triaugmented hexagonal prism
    • J57
    • Hexagonal
    • Prism
    • Triaugmented
    • Geometry
    • Johnson
    • See
    • Attaching
    • Augmenting
    • Constructed
    • Equatorial
    • J1
  • triaugmented hexagonal prism
    • J57
    • Prism
    • Hexagonal
    • Triaugmented
    • Faces
    • Geometry
    • Johnson
    • See
    • Attaching
    • Augmenting
    • Constructed
    • Equatorial
  • johnson solid
    • J57
    • One
    • Platonic
    • Polygon
    • Polyhedra
    • Prisms
    • Regular
    • See
    • Solid
    • Solids
    • Strictly
    • Triaugmented
  • norman johnson
    • J57
    • One
    • Polyhedra
    • Solid
    • Solids
    • Triaugmented
    • Faces
    • Prism
    • Antiprisms
    • Archimedean
    • Composed
    • Convexpolyhedra
  • archimedean solids
    • Antiprisms
    • Composed
    • Convexpolyhedra
    • Platonic
    • Polygon
    • Prisms
    • Regular
    • Strictly
    • Uniform
    • Archimedean
    • One
    • Polyhedra
  • platonic solids
    • Polygon
    • Prisms
    • Regular
    • Strictly
    • Uniform
    • Antiprisms
    • Archimedean
    • Composed
    • Convexpolyhedra
    • Platonic
    • Polyhedra
    • Solid
  • uniform
    • Antiprisms
    • Archimedean
    • Composed
    • Convexpolyhedra
    • Platonic
    • Polygon
    • Prisms
    • Regular
    • Strictly
    • One
    • Polyhedra
    • Solid
  • antiprisms
    • Archimedean
    • Composed
    • Convexpolyhedra
    • Platonic
    • Polygon
    • Prisms
    • Regular
    • Strictly
    • Uniform
    • One
    • Polyhedra
    • Solid

Connections between topic areas Semantic bridges

Bridges highlight paths between different parts of the Triaugmented hexagonal prism map and can reveal research angles that are easy to miss in a flat list.

Min side: 3

Map overview Semantic statistics

Triaugmented hexagonal prism

Nodes14
Edges13
Triples12
Avg. degree1.86
Density0.142857
Components1

Source & methodology

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

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

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