Hendecagonal prism

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Hendecagonal prism
Rank3
TypeUniform
Notation
Bowers style acronymHenp
Coxeter diagramx2x11o ()
Conway notationP11
Elements
Faces11 squares, 2 hendecagons
Edges11+22
Vertices22
Vertex figureIsosceles triangle, edge lengths 2, 2, 2cos(π/11)
Measures (edge length 1)
Circumradius
Volume
Dihedral angles4–4:
 4–11: 90°
Height1
Central density1
Number of external pieces13
Level of complexity3
Related polytopes
ArmyHenp
RegimentHenp
DualHendecagonal tegum
ConjugatesSmall hendecagrammic prism, Hendecagrammic prism, Great hendecagrammic prism, Grand hendecagrammic prism
Abstract & topological properties
Flag count132
Euler characteristic2
SurfaceSphere
OrientableYes
Genus0
SkeletonGP(11,1)
Properties
SymmetryI2(11)×A1, order 44
ConvexYes
NatureTame

The hendecagonal prism or henp is a prismatic uniform polyhedron. It consists of 2 hendecagons and 11 squares. Each vertex joins one hendecagon and two squares. As the name suggests, it is a prism based on a hendecagon.

Vertex coordinates[edit | edit source]

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

  • ,
  • ,
  • ,
  • ,
  • ,
  • .

External links[edit | edit source]