Pentagrammic-grand hendecagrammic duoprism

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(Redirected from 5/2-11/5 duoprism)
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Pentagrammic-grand hendecagrammic duoprism
Rank4
TypeUniform
Notation
Coxeter diagramx5/2o x11/5o ()
Elements
Cells11 pentagrammic prisms, 5 grand hendecagrammic prisms
Faces55 squares, 11 pentagrams, 5 grand hendecagrams
Edges55+55
Vertices55
Vertex figureDigonal disphenoid, edge lengths (5–1)/2 (base 1), 2cos(5π/11) (base 2), 2 (sides)
Measures (edge length 1)
Circumradius
Hypervolume
Dichoral anglesStip–4–gashenp: 90°
 Gashenp–11/5–gashenp: 36°
 Stip–5/2–stip:
Central density10
Number of external pieces32
Level of complexity24
Related polytopes
ArmySemi-uniform pahendip
DualPentagrammic-grand hendecagrammic duotegum
ConjugatesPentagonal-hendecagonal duoprism, Pentagonal-small hendecagrammic duoprism, Pentagonal-hendecagrammic duoprism, Pentagonal-great hendecagrammic duoprism, Pentagonal-grand hendecagrammic duoprism, Pentagrammic-hendecagonal duoprism, Pentagrammic-small hendecagrammic duoprism, Pentagrammic-hendecagrammic duoprism, Pentagrammic-great hendecagrammic duoprism
Abstract & topological properties
Euler characteristic0
OrientableYes
Properties
SymmetryH2×I2(11), order 220
ConvexNo
NatureTame

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

Vertex coordinates[edit | edit source]

The coordinates of a pentagrammic-grand hendecagrammic duoprism, centered at the origin and with edge length 2sin(5π/11), are given by:

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

External links[edit | edit source]