Octagonal-great enneagrammic duoprism

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Octagonal-great enneagrammic duoprism
Rank4
TypeUniform
Notation
Bowers style acronymOgstedip
Coxeter diagramx8o2x9/4o ()
Elements
Cells9 octagonal prisms, 8 great enneagrammic prisms
Faces72 squares, 9 octagons, 8 great enneagrams
Edges72+72
Vertices72
Vertex figureDigonal disphenoid, edge lengths 2+2 (base 1), 2cos(4π/9) (base 2), 2 (sides)
Measures (edge length 1)
Circumradius
Hypervolume
Dichoral anglesGistep–9/4–gistep: 135°
 Op–4–gistep: 90°
 Op–8–op: 20°
Central density4
Number of external pieces26
Level of complexity12
Related polytopes
ArmySemi-uniform oedip
RegimentOgstedip
DualOctagonal-great enneagrammic duotegum
ConjugatesOctagonal-enneagonal duoprism, Octagonal-enneagrammic duoprism, Octagrammic-enneagonal duoprism, Octagrammic-enneagrammic duoprism, Octagrammic-great enneagrammic duoprism
Abstract & topological properties
Euler characteristic0
OrientableYes
Properties
SymmetryI2(8)×I2(9), order 288
ConvexNo
NatureTame

The octagonal-great enneagrammic duoprism, also known as ogstedip or the 8-9/4 duoprism, is a uniform duoprism that consists of 9 octagonal prisms and 8 great enneagrammic prisms, with 2 of each at each vertex.

Vertex coordinates[edit | edit source]

The coordinates of an octagonal-great enneagrammic duoprism, centered at the origin and with edge length 2sin(4π/9), are given by:

  • ,
  • ,
  • ,
  • ,
  • ,
  • ,

where j  = 2, 4, 8.

Representations[edit | edit source]

An octagonal-great enneagrammic duoprism has the following Coxeter diagrams:

External links[edit | edit source]