Hexagonal-grand hendecagrammic duoprism

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Hexagonal-grand hendecagrammic duoprism
Rank4
TypeUniform
Notation
Coxeter diagramx6o x11/5o ()
Elements
Cells11 hexagonal prisms, 6 grand hendecagrammic prisms
Faces66 squares, 11 hexagons, 6 grand hendecagrams
Edges66+66
Vertices66
Vertex figureDigonal disphenoid, edge lengths 3 (base 1), 2cos(5π/11) (base 2), 2 (sides)
Measures (edge length 1)
Circumradius
Hypervolume
Dichoral anglesGashenp–11/5–gashenp: 120°
 Hip–4–gashenp: 90°
 Hip–6–hip:
Central density5
Number of external pieces28
Level of complexity12
Related polytopes
ArmySemi-uniform hahendip
DualHexagonal-grand hendecagrammic duotegum
ConjugatesHexagonal-hendecagonal duoprism, Hexagonal-small hendecagrammic duoprism, Hexagonal-hendecagrammic duoprism, Hexagonal-great hendecagrammic duoprism
Abstract & topological properties
Euler characteristic0
OrientableYes
Properties
SymmetryG2×I2(11), order 264
ConvexNo
NatureTame

The hexagonal-grand hendecagrammic duoprism, also known as the 6-11/5 duoprism, is a uniform duoprism that consists of 11 hexagonal prisms and 6 grand hendecagrammic prisms, with 2 of each at each vertex.

Vertex coordinates[edit | edit source]

The coordinates of a hexagonal-grand hendecagrammic duoprism, centered at the origin and with edge length 2sin(5π/11), are given by:

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

Representations[edit | edit source]

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

External links[edit | edit source]