Great hendecagrammic duoprism

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Great hendecagrammic duoprism
Rank4
TypeUniform
Notation
Coxeter diagramx11/4o x11/4o ()
Elements
Cells22 great hendecagrammic prisms
Faces121 squares, 22 great hendecagrams
Edges242
Vertices121
Vertex figureTetragonal disphenoid, edge lengths 2cos(4π/11) (bases) and 2 (sides)
Measures (edge length 1)
Circumradius
Inradius
Hypervolume
Dichoral anglesGishenp–4–gishenp: 90°
 Gishenp–11/4–gishenp:
Central density16
Number of external pieces44
Level of complexity12
Related polytopes
ArmyHandip
DualGreat hendecagrammic duotegum
ConjugatesHendecagonal duoprism, Small hendecagrammic duoprism, Hendecagrammic duoprism, Grand hendecagrammic duoprism
Abstract & topological properties
Flag count2904
Euler characteristic0
OrientableYes
Properties
SymmetryI2(11)≀S2, order 968
ConvexNo
NatureTame

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

Vertex coordinates[edit | edit source]

The coordinates of a great hendecagrammic duoprism, centered at the origin and with edge length 2sin(4π/11), are given by:

  • ,
  • ,
  • ,
  • ,

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

External links[edit | edit source]