Decagrammic-grand hendecagrammic duoprism

From Polytope Wiki
(Redirected from 11/5-10/3 duoprism)
Jump to navigation Jump to search
Decagrammic-grand hendecagrammic duoprism
Rank4
TypeUniform
Notation
Coxeter diagramx10/3o x11/5o ()
Elements
Cells11 decagrammic prisms, 10 grand hendecagrammic prisms
Faces110 squares, 11 decagrams, 10 grand hendecagrams
Edges110+110
Vertices110
Vertex figureDigonal disphenoid, edge lengths (5–5)/2 (base 1), 2cos(5π/11) (base 2), 2 (sides)
Measures (edge length 1)
Circumradius
Hypervolume
Dichoral anglesStiddip–4–gashenp: 90°
 Gashenp–11/5–gashenp: 72°
 Stiddip–10/3–stiddip:
Central density15
Number of external pieces42
Level of complexity24
Related polytopes
ArmySemi-uniform dahendip
DualDecagrammic-grand hendecagrammic duotegum
ConjugatesDecagonal-hendecagonal duoprism, Decagonal-small hendecagrammic duoprism, Decagonal-hendecagrammic duoprism, Decagonal-great hendecagrammic duoprism, Decagonal-grand hendecagrammic duoprism, Decagrammic-hendecagonal duoprism, Decagrammic-small hendecagrammic duoprism, Decagrammic-hendecagrammic duoprism, Decagrammic-great hendecagrammic duoprism
Abstract & topological properties
Flag count2640
Euler characteristic0
OrientableYes
Properties
SymmetryI2(10)×I2(11), order 440
ConvexNo
NatureTame

The decagrammic-grand hendecagrammic duoprism, also known as the 10/3-11/5 duoprism, is a uniform duoprism that consists of 11 decagrammic prisms and 10 grand hendecagrammic prisms, with 2 of each at each vertex.

Coordinates[edit | edit source]

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

  • ,
  • ,
  • ,
  • ,
  • ,
  • ,

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

Representations[edit | edit source]

A decagrammic-grand hendecagrammic duoprism duoprism has the following Coxeter diagrams:

External links[edit | edit source]