Pentagrammic-octagonal duoprism

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Pentagrammic-octagonal duoprism
Rank4
TypeUniform
SpaceSpherical
Notation
Bowers style acronymStarodip
Coxeter diagramx5/2o x8o(CDel node 1.pngCDel 5-2.pngCDel node.pngCDel 2.pngCDel node 1.pngCDel 8.pngCDel node.png)
Elements
Cells8 pentagrammic prisms, 5 octagonal prisms
Faces40 squares, 8 pentagrams, 5 octagons
Edges40+40
Vertices40
Vertex figureDigonal disphenoid, edge lengths (5–1)/2 (base 1), 2+2 (base 2), 2 (sides)
Measures (edge length 1)
Circumradius
Hypervolume
Dichoral anglesStip–5/2–stip: 135°
 Stip–4–op: 90°
 Op–8–op: 36°
Central density2
Number of external pieces18
Level of complexity12
Related polytopes
ArmySemi-uniform podip
RegimentStarodip
DualPentagrammic-octagonal duotegum
ConjugatesPentagonal-octagonal duoprism, Pentagonal-octagrammic duoprism, Pentagrammic-octagrammic duoprism
Abstract & topological properties
Euler characteristic0
OrientableYes
Properties
SymmetryH2×I2(8), order 160
ConvexNo
NatureTame

The pentagrammic-octagonal duoprism, also known as starodip or the 5/2-8 duoprism, is a uniform duoprism that consists of 8 pentagrammic prisms and 5 octagonal prisms, with 2 of each at each vertex.

Vertex coordinates[edit | edit source]

The coordinates of a pentagrammic-octagonal duoprism, centered at the origin and with unit edge length, are given by:

Representations[edit | edit source]

A pentagrammic-octagonal duoprism has the following Coxeter diagrams:

External links[edit | edit source]