Triaugmented triangular prism

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Applications

Chemical compounds Atom cluster Convex hull Lanthanides Lanthanum

9 related topics

Fritsch graph

Fritsch & Fritsch (1998)Kempe chains Topological surface Whitney triangulation Angular defect

9 related topics

Dual associahedron

Enneahedron Square Pentagons Truncated octahedron Space-filling polyhedron

9 related topics

Overview

Convex polyhedron Equilateral triangles Triangular prism Equilateral square pyramids Deltahedron

17 related topics

Key facts & relationships

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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} }}

Topics to explore

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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

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Map overview Semantic statistics

Nodes63

Edges62

Triples51

Avg. degree1.97

Density0.031746

Components1

How this topic connects Entity context

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Triaugmented triangular prism

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 Word statistics

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Important terminology

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

Entity relationships Subject–Predicate–Object triples

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

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