Enneagonal-grand hendecagrammic duoprism

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Enneagonal-grand hendecagrammic duoprism
Rank4
TypeUniform
Notation
Coxeter diagramx9o x11/5o (File:CDel node 1.pngFile:CDel 9.pngFile:CDel node.pngFile:CDel 2.pngFile:CDel node 1.pngFile:CDel 11.pngFile:CDel rat.pngFile:CDel 5.pngFile:CDel node.png)
Elements
Cells11 enneagonal prisms, 9 grand hendecagrammic prisms
Faces99 squares, 11 enneagons, 9 grand hendecagrams
Edges99+99
Vertices99
Vertex figureDigonal disphenoid, edge lengths 2cos(π/9) (base 1), 2cos(5π/11) (base 2), 2 (sides)
Measures (edge length 1)
Circumradius
Hypervolume
Dichoral anglesGashenp–11/5–Gashenp: 140°
 Ep–4–gashenp: 90°
 Ep–9–ep:
Central density5
Number of external pieces31
Level of complexity12
Related polytopes
ArmySemi-uniform ehendip
DualEnneagonal-grand hendecagrammic duotegum
ConjugatesEnneagonal-hendecagonal duoprism, Enneagonal-small hendecagrammic duoprism, Enneagonal-hendecagrammic duoprism, Enneagonal-great hendecagrammic duoprism, Enneagrammic-hendecagonal duoprism, Enneagrammic-small hendecagrammic duoprism, Enneagrammic-hendecagrammic duoprism, Enneagrammic-great hendecagrammic duoprism, Enneagrammic-grand hendecagrammic duoprism, Great enneagrammic-hendecagonal duoprism, Great enneagrammic-small hendecagrammic duoprism, Great enneagrammic-hendecagrammic duoprism, Great enneagrammic-great hendecagrammic duoprism, Great enneagrammic-grand hendecagrammic duoprism
Abstract & topological properties
Euler characteristic0
OrientableYes
Properties
SymmetryI2(9)×I2(11), order 396
ConvexNo
NatureTame

The enneagonal-grand hendecagrammic duoprism, also known as the 9-11/5 duoprism, is a uniform duoprism that consists of 11 enneagonal prisms and 9 grand hendecagrammic prisms, with 2 of each at each vertex.

Vertex coordinates[edit | edit source]

The coordinates of a enneagonal-grand hendecagrammic duoprism, centered at the origin and with edge length 4sin(π/9)sin(5π/11), are given by:

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

External links[edit | edit source]