Hexagonal-hendecagonal duoprism

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Hexagonal-hendecagonal duoprism
Rank4
TypeUniform
Notation
Bowers style acronymHahendip
Coxeter diagramx6o x11o ()
Elements
Cells11 hexagonal prisms, 6 hendecagonal prisms
Faces66 squares, 11 hexagons, 6 hendecagons
Edges66+66
Vertices66
Vertex figureDigonal disphenoid, edge lengths 3 (base 1), 2cos(π/11) (base 2), and 2 (sides)
Measures (edge length 1)
Circumradius
Hypervolume
Dichoral anglesHip–6–hip:
 Henp–11–Henp: 120°
 Hip–4–henp: 90°
Central density1
Number of external pieces17
Level of complexity6
Related polytopes
ArmyHahendip
RegimentHahendip
DualHexagonal-hendecagonal duotegum
ConjugatesHexagonal-small hendecagrammic 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
Flag orbits6
ConvexYes
NatureTame

The hexagonal-hendecagonal duoprism or hahendip, also known as the 6-11 duoprism, is a uniform duoprism that consists of 6 hendecagonal prisms and 11 hexagonal prisms, with two of each joining at each vertex.

Vertex coordinates[edit | edit source]

The coordinates of a hexagonal-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]

A hexagonal-hendecagonal duoprism has the following Coxeter diagrams:

  • x6o x11o () (full symmetry)
  • x3x x11o () (A2×I2(11) symmetry, hexagons as ditrigons)

External links[edit | edit source]