Augmented triangular prism

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Explore the main themes, entities and connections around Augmented triangular prism. Start with the topic map, then use the sections below for research and deeper semantic analysis.

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Construction

Augmentation Equilateral triangles Squares Convex polyhedron Regular polygons

8 related topics

Application

Chemical compounds Atom cluster Potassium heptafluorotantalate

3 related topics

Properties

Surface area Volume Three-dimensional symmetry group Rigid transformations Dihedral angles

6 related topics

Overview

Geometry Polyhedron Equilateral square pyramid Triangular prism Johnson solid

6 related topics

Key facts & relationships

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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

Topics to explore

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Overview

Construction

Augmentation Augmentation (geometry)
Equilateral triangles Equilateral triangle
Squares Square (geometry)
Convex polyhedron
Regular polygons Regular polygon
Uniform Uniform polyhedron
Norman W. Johnson
Composite polyhedron

Properties

Surface area
Volume
Three-dimensional symmetry group Point groups in three dimensions
Rigid transformations Rigid transformation
Dihedral angles Dihedral angle
Interior angle

Application

Advanced semantic analysis

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Map overview Semantic statistics

Nodes28

Edges27

Triples31

Avg. degree1.93

Density0.071429

Components1

How this topic connects Entity context

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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 Word statistics

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Important terminology

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

Entity relationships Subject–Predicate–Object triples

Subject	Predicate	Object	Confidence	Src
Augmented triangular prism	Dihedral angle (degrees)	triangle-triangle: 109.5°, 144.7° triangle-square: 90°, 114.7° square-square: 60°	1.00	infobox
Augmented triangular prism	Edges	13	1.00	infobox
Augmented triangular prism	Faces	6 triangles 2 squares	1.00	infobox
Augmented triangular prism	Properties	convex, composite	1.00	infobox
Augmented triangular prism	Symmetry group	C 2 v {\displaystyle C_{2\mathrm {v} }}	1.00	infobox
Augmented triangular prism	Type	Johnson J48 – J49 – J50	1.00	infobox
Augmented triangular prism	Vertex configuration	2 × ( 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}}}	1.00	infobox
Augmented triangular prism	Vertices	7	1.00	infobox
Augmented triangular prism	is a	polyhedron constructed by attaching an equilateral square pyramid onto one of the square faces of a triangular prism	0.90	text
Augmented triangular prism	is a	polyhedron that can be constructed from a triangular prism by attaching an equilateral square pyramid to one of its square faces	0.90	text
Augmented triangular prism	is a	composite polyhedron	0.90	text
Augmented triangular prism	related to Application	In	0.60	section

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Min side: 3