Square-pentagrammic duoprism

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Square-pentagrammic duoprism
Rank4
TypeUniform
Notation
Bowers style acronymSistadip
Coxeter diagramx4o x5/2o ()
Elements
Cells5 cubes, 4 pentagrammic prisms
Faces5+20 squares, 4 pentagrams
Edges20+20
Vertices20
Vertex figureDigonal disphenoid, edge lengths (5–1)/2 (base 1) and 2 (base 2 and sides)
Measures (edge length 1)
Circumradius
Hypervolume
Dichoral anglesStip–5/2–stip: 90°
 Cube–4–stip: 90°
 Cube–4–cube: 36°
Height1
Central density2
Number of external pieces14
Level of complexity12
Related polytopes
ArmySemi-uniform squipdip
RegimentSistadip
DualSquare-pentagrammic duotegum
ConjugateSquare-pentagonal duoprism
Abstract & topological properties
Euler characteristic0
OrientableYes
Properties
SymmetryB2×H2, order 80
ConvexNo
NatureTame


The square-pentagrammic duoprism, also known as sistadip or the 4-5/2 duoprism, is a uniform duoprism that consists of 5 cubes and 4 pentagrammic prisms, with 2 of each at each vertex.

Vertex coordinates[edit | edit source]

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

Representations[edit | edit source]

A square-pentagrammic duoprism has the following Coxeter diagrams:

  • x4o x5/2o (full symmetry)
  • x x x5/2o () (H2×A1×A1 symmetry, pentagrammic prismatic prism)

External links[edit | edit source]