Octagrammic-hendecagonal duoprism

From Polytope Wiki
Jump to navigation Jump to search
Octagrammic-hendecagonal duoprism
Rank4
TypeUniform
Notation
Coxeter diagramx8/3o x11o ()
Elements
Cells11 octagrammic prisms, 8 hendecagonal prisms
Faces88 squares, 11 octagrams, 8 hendecagons
Edges88+88
Vertices88
Vertex figureDigonal disphenoid, edge lengths 2–2 (base 1), 2cos(π/11) (base 2), 2 (sides)
Measures (edge length 1)
Circumradius
Hypervolume
Dichoral anglesStop–8/3–stop:
 Stop–4–henp: 90°
 Henp–11–henp: 45°
Central density3
Number of external pieces27
Level of complexity12
Related polytopes
ArmySemi-uniform ohendip
DualOctagrammic-hendecagonal duotegum
ConjugatesOctagonal-hendecagonal duoprism, Octagonal-small hendecagrammic duoprism, Octagonal-hendecagrammic duoprism, Octagonal-great hendecagrammic duoprism, Octagonal-grand hendecagrammic duoprism, Octagrammic-small hendecagrammic duoprism, Octagrammic-hendecagrammic duoprism, Octagrammic-great hendecagrammic duoprism, Octagrammic-grand hendecagrammic duoprism
Abstract & topological properties
Flag count2112
Euler characteristic0
OrientableYes
Properties
SymmetryI2(8)×I2(11), order 352
ConvexNo
NatureTame

The octagrammic-hendecagonal duoprism, also known as the 8/3-11 duoprism, is a uniform duoprism that consists of 11 octagrammic prisms and 8 hendecagonal prisms, with 2 of each at each vertex.

Vertex coordinates[edit | edit source]

The coordinates of an octagrammic-hendecagonal duoprism, centered at the origin and with edge length 2sin(π/11), are given by:

  • ,
  • ,
  • ,
  • ,

where j = 2, 4, 6, 8, 10.

Representations[edit | edit source]

An octagrammic-hendecagonal duoprism has the following Coxeter diagrams:

External links[edit | edit source]