Square-decagrammic duoprism

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Square-decagrammic duoprism
Rank4
TypeUniform
Notation
Bowers style acronymSistadedip
Coxeter diagramx4o x10/3o ()
Elements
Cells10 cubes, 4 decagrammic prisms
Faces10+40 squares, 4 decagrams
Edges40+40
Vertices40
Vertex figureDigonal disphenoid, edge lengths 2(5–5)/2 (base 1) 2 (base 2 and sides)
Measures (edge length 1)
Circumradius
Hypervolume
Dichoral anglesStiddip–10/3–stiddip: 90°
 Cube–4–stiddip: 90°
 Cube–4–cube: 72°
Height1
Central density3
Number of external pieces24
Level of complexity12
Related polytopes
ArmySemi-uniform squadedip
RegimentSistadedip
DualSquare-decagrammic duotegum
ConjugateSquare-decagonal duoprism
Abstract & topological properties
Flag count960
Euler characteristic0
OrientableYes
Properties
SymmetryB2×I2(10), order 160
ConvexNo
NatureTame

The square-decagrammic duoprism, also known as sistadedip or the 4-10/3 duoprism, is a uniform duoprism that consists of 10 cubes and 4 decagrammic prisms, with 2 of each at each vertex.

Vertex coordinates[edit | edit source]

The coordinates of a square-decagrammic duoprism, centered at the origin and with unit edge length, are given by:

  • ,
  • ,
  • .

Representations[edit | edit source]

A square-decagrammic duoprism has the following Coxeter diagrams:

External links[edit | edit source]