Hendecagonal duoprism

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Hendecagonal duoprism
Rank4
TypeUniform
Notation
Bowers style acronymHandip
Coxeter diagramx11o x11o ()
Elements
Cells22 hendecagonal prisms
Faces121 squares, 22 hendecagons
Edges242
Vertices121
Vertex figureTetragonal disphenoid, edge lengths 2cos(π/11) (bases) and 2 (sides)
Measures (edge length 1)
Circumradius
Inradius
Hypervolume
Dichoral angleHenp–11–henp:
Henp–4–henp: 90°
Central density1
Number of external pieces22
Level of complexity3
Related polytopes
ArmyHandip
RegimentHandip
DualHendecagonal duotegum
ConjugatesSmall hendecagrammic duoprism,
Hendecagrammic duoprism,
Great hendecagrammic duoprism,
Grand hendecagrammic duoprism
Abstract & topological properties
Flag count2904
Euler characteristic0
OrientableYes
Properties
SymmetryI2(11)≀S2, order 968
Flag orbits3
ConvexYes
NatureTame

The hendecagonal duoprism or handip, also known as the hendecagonal-hendecagonal duoprism, the 11 duoprism or the 11-11 duoprism, is a noble uniform duoprism that consists of 22 hendecagonal prisms, with 4 joining at each vertex. It is also the 22-10 gyrochoron. It is the first in an infinite family of isogonal hendecagonal dihedral swirlchora and also the first in an infinite family of isochoric hendecagonal hosohedral swirlchora.

Vertex coordinates[edit | edit source]

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

  • ,
  • ,
  • ,
  • ,

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

External links[edit | edit source]