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Augmented triangular prism: Applications, Construction & Application

In geometry, the augmented triangular prism is a polyhedron constructed by attaching an equilateral square pyramid onto one of the square faces of a triangular prism. As a result, it is an example of a Johnson solid. It appears in chemistry as the capped trigonal prismatic molecular geometry.

Language: English [EN]
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Augmented triangular prism topic overview

The analysis highlights Applications, Construction and Application as prominent areas in the source structure around Augmented triangular prism.

Related topics
23
Source areas
4
Connected nodes
27
Extracted relationships
31
Concept neighborhoods
17
Bridge connections
27

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.

Construction · 8 topics
Overview · 6 topics
Properties · 6 topics
Application · 3 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)
triangle-triangle: 109.5°, 144.7° triangle-square: 90°, 114.7° square-square: 60°
Edges
13
Faces
6 triangles 2 squares
Properties
convex, composite
Symmetry group
C 2 v {\displaystyle C_{2\mathrm {v} }}
Type
Johnson J48 – J49 – J50

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

Construction

Properties

Application

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 Augmented triangular prism connects Entity context

The extracted context around Augmented triangular prism shows recurring relationship patterns in the source. For example, Augmented triangular prism → American, Johnson, Norman, Related, The, This Another extracted example is Augmented triangular prism → All, An, That, The, Therefore, These. Use these groups to spot repeated connection types before inspecting the individual relationships.

Augmented triangular prism

Top relations

related to Construction · 6
Augmented triangular prism → American, Johnson, Norman, Related, The, This
related to Properties · 6
Augmented triangular prism → All, An, That, The, Therefore, These
related to External links · 5
Augmented triangular prism → Augmented, Eric, Johnson Solid, MathWorld, Weisstein
is a · 3
Augmented triangular prism → composite polyhedron, polyhedron constructed by attaching an equilateral square pyramid onto one of the square faces of a triangular prism, polyhedron that can be constructed from a triangular prism by attaching an equilateral square pyramid to one of its square faces
related to Application · 3
Augmented triangular prism → An, In, The
Dihedral angle (degrees) · 1
Augmented triangular prism → triangle-triangle: 109.5°, 144.7° triangle-square: 90°, 114.7° square-square: 60°
Edges · 1
Augmented triangular prism → 13
Faces · 1
Augmented triangular prism → 6 triangles 2 squares
Properties · 1
Augmented triangular prism → convex, composite
Symmetry group · 1
Augmented triangular prism → C 2 v {\displaystyle C_{2\mathrm {v} }}

Important terminology

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

Important terminology

prism triangular augmented faces square pyramid displaystyle polyhedron equilateral johnson angle geometry dihedral two sqrt triangles squares textstyle approx circ

Augmented triangular prism relationships Subject–Predicate–Object triples

TTTA extracted 31 structured relationships around Augmented triangular prism. Examples in this analysis include Augmented triangular prism → Dihedral angle (degrees) → triangle-triangle: 109.5°, 144.7° triangle-square: 90°, 114.7° square-square: 60° and Augmented triangular prism → Edges → 13. The table shows each extracted connection, where it came from and its confidence.

SubjectPredicateObjectConfidenceSrc
Augmented triangular prismDihedral angle (degrees)triangle-triangle: 109.5°, 144.7° triangle-square: 90°, 114.7° square-square: 60°1.00infobox
Augmented triangular prismEdges131.00infobox
Augmented triangular prismFaces6 triangles 2 squares1.00infobox
Augmented triangular prismPropertiesconvex, composite1.00infobox
Augmented triangular prismSymmetry groupC 2 v {\displaystyle C_{2\mathrm {v} }}1.00infobox
Augmented triangular prismTypeJohnson J48 – J49 – J501.00infobox
Augmented triangular prismVertex configuration2 × ( 3 × 4 2 ) + 1 × ( 3 4 ) + 4 × ( 3 3 × 4 ) {\displaystyle {\begin{aligned}&2\times (3\times 4^{2})\,+\\&1\times (3^{4})\,+\\&4\times (3^{3}\times 4)\end{aligned}}}1.00infobox
Augmented triangular prismVertices71.00infobox
Augmented triangular prismis apolyhedron constructed by attaching an equilateral square pyramid onto one of the square faces of a triangular prism0.90text
Augmented triangular prismis apolyhedron that can be constructed from a triangular prism by attaching an equilateral square pyramid to one of its square faces0.90text
Augmented triangular prismis acomposite polyhedron0.90text
Augmented triangular prismrelated to ApplicationIn0.60section

Related concept clusters Concept neighborhoods

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

  • Augmented triangular prism
    • Triangular
    • Prism
    • Displaystyle
    • Equilateral
    • Dihedral
    • Pyramid
    • Approx
    • Polyhedron
    • Adding
    • Left
    • Right
    • Square
  • augmented triangular prism
    • Triangular
    • Prism
    • Pyramid
    • Square
    • Displaystyle
    • Angle
    • Equilateral
    • Dihedral
    • Approx
    • Triangles
    • Two
    • Polyhedron
  • equilateral square pyramid
    • Pyramid
    • Square
    • One
    • Area
    • Triangles
    • Squares
    • Dihedral
    • Triangular
    • Angle
    • Displaystyle
    • Triangle
    • Prism
  • triangular prism
    • Triangular
    • Pyramid
    • Square
    • Angle
    • Displaystyle
    • Dihedral
    • Triangles
    • Two
    • Polyhedron
    • Approx
    • One
    • Sqrt
  • equilateral triangles
    • Square
    • Two
    • Pyramid
    • Area
    • One
    • Squares
    • Adding
    • Displaystyle
    • Triangles
    • Prism
    • Faces
    • Polyhedron
  • dihedral angles
    • Angle
    • Circ
    • Triangles
    • Pyramid
    • Square
    • Two
    • Prism
    • Triangle
    • Faces
    • One
    • Pi
    • Squares
  • interior angle
    • Dihedral
    • Circ
    • Pi
    • Prism
    • Pyramid
    • Square
    • Textstyle
    • Triangles
    • Two
    • Faces
    • Left
    • Right
  • composite polyhedron
    • Convex
    • Composite
    • Polyhedron
    • Properties
    • Constructed
    • Result
    • Faces
    • Prism
    • Pyramid
    • Square
    • One
    • Polyhedra

Connections between topic areas Semantic bridges

For Augmented triangular prism, one of the stronger structural bridges in this analysis connects Augmented triangular prism with Construction. 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
Augmented triangular prismConstruction · splits 19 ⟂ 9
Augmented triangular prismOverview · splits 21 ⟂ 7
Augmented triangular prismProperties · splits 21 ⟂ 7
Augmented triangular prismApplication · splits 24 ⟂ 4

Map overview Semantic statistics

Augmented triangular prism

Nodes28
Edges27
Triples31
Avg. degree1.93
Density0.071429
Components1

Source & methodology

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

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

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