Hendecagrammic duoprism

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Hendecagrammic duoprism
Rank4
TypeUniform
Notation
Coxeter diagramx11/3o x11/3o ()
Elements
Cells22 hendecagrammic prisms
Faces121 squares, 22 hendecagrams
Edges242
Vertices121
Vertex figureTetragonal disphenoid, edge lengths 2cos(3π/11) (bases) and 2 (sides)
Measures (edge length 1)
Circumradius
Inradius
Hypervolume
Dichoral anglesShenp–4–shenp: 90°
 Shenp–11/3–shenp:
Central density9
Number of external pieces44
Level of complexity12
Related polytopes
ArmyHandip
DualHendecagrammic duotegum
ConjugatesHendecagonal duoprism, Small hendecagrammic duoprism, Great hendecagrammic duoprism, Grand hendecagrammic duoprism
Abstract & topological properties
Flag count2904
Euler characteristic0
OrientableYes
Properties
SymmetryI2(11)≀S2, order 968
ConvexNo
NatureTame

The hendecagrammic duoprism, also known as the hendecagrammic-hendecagrammic duoprism, the 11/3 duoprism or the 11/3-11/3 duoprism, is a noble uniform duoprism that consists of 22 hendecagrammic prisms, with 4 meeting at each vertex.

The name can also refer to the small hendecagrammic duoprism, the small hendecagrammic-hendecagrammic duoprism, the small hendecagrammic-great hendecagrammic duoprism, the small hendecagrammic-grand hendecagrammic duoprism, the hendecagrammic-great hendecagrammic duoprism, the hendecagrammic-grand hendecagrammic duoprism, the great hendecagrammic duoprism, the great hendecagrammic-grand hendecagrammic duoprism, or the grand hendecagrammic duoprism.

Vertex coordinates[edit | edit source]

The coordinates of a hendecagrammic duoprism, centered at the origin and with edge length 2sin(3π/11), are given by:

  • ,
  • ,
  • ,
  • ,

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

External links[edit | edit source]