Small hendecagrammic duoprism

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Small hendecagrammic duoprism
Rank4
TypeUniform
Notation
Coxeter diagramx11/2o x11/2o ()
Elements
Cells22 small hendecagrammic prisms
Faces121 squares, 22 small hendecagrams
Edges242
Vertices121
Vertex figureTetragonal disphenoid, edge lengths 2cos(2π/11) (bases) and 2 (sides)
Measures (edge length 1)
Circumradius
Inradius
Hypervolume
Dichoral anglesSishenp–11/2–sishenp:
 Sishenp–4–sishenp: 90°
Central density4
Number of external pieces44
Level of complexity12
Related polytopes
ArmyHandip
DualSmall hendecagrammic duotegum
ConjugatesHendecagonal duoprism, Hendecagrammic duoprism, Great hendecagrammic duoprism, Grand hendecagrammic duoprism
Abstract & topological properties
Euler characteristic0
OrientableYes
Properties
SymmetryI2(11)≀S2, order 968
ConvexNo
NatureTame

The small hendecagrammic duoprism, also known as the small hendecagrammic-small hendecagrammic duoprism, the 11/2 duoprism or the 11/2-11/2 duoprism, is a noble uniform duoprism that consists of 22 small hendecagrammic prisms, with 4 meeting at each vertex.

Vertex coordinates[edit | edit source]

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

  • ,
  • ,
  • ,
  • ,

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

External links[edit | edit source]