Enneagonal-dodecagrammic duoprism

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Enneagonal-dodecagrammic duoprism
Rank4
TypeUniform
Notation
Coxeter diagramx9o x12/5o ()
Elements
Cells12 enneagonal prisms, 9 dodecagrammic prisms
Faces108 squares, 12 enneagons, 9 dodecagrams
Edges108+108
Vertices108
Vertex figureDigonal disphenoid, edge lengths 2cos(π/9) (base 1), (62)/2 (base 2), 2 (sides)
Measures (edge length 1)
Circumradius
Hypervolume
Dichoral anglesStwip–12/5–stwip: 140°
 Ep–4–stwip: 90°
 Ep–9–ep: 30°
Central density5
Number of external pieces33
Level of complexity12
Related polytopes
ArmySemi-uniform etwadip
DualEnneagonal-dodecagrammic duotegum
ConjugatesEnneagonal-dodecagonal duoprism, Enneagrammic-dodecagonal duoprism, Enneagrammic-dodecagrammic duoprism, Great enneagrammic-dodecagonal duoprism, Great enneagrammic-dodecagrammic duoprism
Abstract & topological properties
Flag count2592
Euler characteristic0
OrientableYes
Properties
SymmetryI2(9)×I2(12), order 432
ConvexNo
NatureTame

The enneagonal-dodecagrammic duoprism, also known as the 9-12/5 duoprism, is a uniform duoprism that consists of 12 enneagonal prisms and 9 dodecagrammic prisms, with 2 of each at each vertex.

Vertex coordinates[edit | edit source]

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

  • ,
  • ,
  • ,
  • ,
  • ,
  • ,
  • ,
  • ,
  • ,

where j = 2, 4, 8.

Representations[edit | edit source]

An enneagonal-dodecagrammic duoprism has the following Coxeter diagrams:

External links[edit | edit source]