Augmented hexagonal prism

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Augmented hexagonal prism
Augmented hexagonal prism 2.png
Rank3
TypeCRF
SpaceSpherical
Notation
Bowers style acronymAuhip
Coxeter diagramoxxx oxux&#xt
Elements
Faces2+2 triangles, 1+2+2 squares, 2 hexagons
Edges2+2+2+2+2+4+4+4
Vertices1+4+4+4
Vertex figures1 square, edge length 1
 4 irregular tetragons, edge lengths 1, 1, 2, 3
 4+4 isosceles triangles, edge lengths (1+5)/2, 2, 2
Measures (edge length 1)
Volume
Dihedral angles3–4:
 3–6:
 4–4: 120°
 3–3:
 4–6: 90°
Central density1
Related polytopes
ArmyAuhip
RegimentAuhip
DualLateromonotruncated hexagonal tegum
ConjugateAugmented hexagonal prism
Abstract properties
Euler characteristic2
Topological properties
SurfaceSphere
OrientableYes
Genus0
Properties
SymmetryK2×I, order 4
ConvexYes
NatureTame

The augmented hexagonal prism, or auhip, is one of the 92 Johnson solids (J54). It consists of 2+2 triangles, 1+2+2 squares, and 2 hexagons. It can be constructed by attaching a square pyramid to one of the square faces of the hexagonal prism.

Vertex coordinates[edit | edit source]

An augmented hexagonal prism of edge length 1 has the following vertices:

External links[edit | edit source]