Parabiaugmented hexagonal prism

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Parabiaugmented hexagonal prism
Rank3
TypeCRF
Notation
Bowers style acronymPabauhip
Coxeter diagramoxxxo oxuxo&#xt
Elements
Faces4+4 triangles, 4 squares, 2 hexagons
Edges2+4+4+8+8
Vertices2+4+8
Vertex figures2 squares, edge length 1
 8 irregular tetragons, edge lengths 1, 1, 2, 3
 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
Number of external pieces14
Level of complexity13
Related polytopes
ArmyPabauhip
RegimentPabauhip
DualParalaterobitruncated hexagonal tegum
ConjugateParabiaugmented hexagonal prism
Abstract & topological properties
Flag count104
Euler characteristic2
SurfaceSphere
OrientableYes
Genus0
Properties
SymmetryK3, order 8
ConvexYes
NatureTame

The parabiaugmented hexagonal prism is one of the 92 Johnson solids (J55). It consists of 4+4 triangles, 4 squares, and 2 hexagons. It can be constructed by attaching square pyramids to two opposite square faces of the hexagonal prism.

Vertex coordinates[edit | edit source]

A parabiaugmented hexagonal prism of edge length 1 has the following vertices:

External links[edit | edit source]