Hexagonal-small hendecagrammic duoprism

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Hexagonal-small hendecagrammic duoprism
Rank4
TypeUniform
Notation
Coxeter diagramx6o x11/2o ()
Elements
Cells11 hexagonal prisms, 6 small hendecagrammic prisms
Faces66 squares, 11 hexagons, 6 small hendecagrams
Edges66+66
Vertices66
Vertex figureDigonal disphenoid, edge lengths 3 (base 1), 2cos(2π/11) (base 2), 2 (sides)
Measures (edge length 1)
Circumradius
Hypervolume
Dichoral anglesSishenp–11/2–sishenp: 120°
 Hip–6–hip:
 Hip–4–sishenp: 90°
Central density2
Number of external pieces28
Level of complexity12
Related polytopes
ArmySemi-uniform hahendip
DualHexagonal-small hendecagrammic duotegum
ConjugatesHexagonal-hendecagonal duoprism, Hexagonal-hendecagrammic duoprism, Hexagonal-great hendecagrammic duoprism, Hexagonal-grand hendecagrammic duoprism
Abstract & topological properties
Flag count1584
Euler characteristic0
OrientableYes
Properties
SymmetryG2×I2(11), order 264
ConvexNo
NatureTame

The hexagonal-small hendecagrammic duoprism, also known as the 6-11/2 duoprism, is a uniform duoprism that consists of 11 hexagonal prisms and 6 small hendecagrammic prisms, with 2 of each at each vertex.

Vertex coordinates[edit | edit source]

The coordinates of a hexagonal-small hendecagrammic duoprism, centered at the origin and with edge length 2sin(2π/11), are given by:

  • ,
  • ,
  • ,
  • ,

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

Representations[edit | edit source]

A hexagonal-small hendecagrammic duoprism has the following Coxeter diagrams:

External links[edit | edit source]