Square-decagrammic duoprism

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Square-decagrammic duoprism
4-10-3 duoprism.png
Rank4
TypeUniform
SpaceSpherical
Bowers style acronymSistadedip
Info
Coxeter diagramx4o x10/3o
SymmetryBC2×I2(10), order 160
ArmySemi-uniform squadedip
RegimentSistadedip
Elements
Vertex figureDigonal disphenoid, edge lengths 2(5–5)/2 (base 1) 2 (base 2 and sides)
Cells10 cubes, 4 decagrammic prisms
Faces10+40 squares, 4 decagrams
Edges40+40
Vertices40
Measures (edge length 1)
Circumradius(4–5)/2 ≈ 0.93913
Hypervolume55–25/2 ≈ 1.81636
Dichoral anglesCube–4–cube: 72°
 Stiddip–10/3–stiddip: 90°
 Cube–4–stiddip: 90°
Central density3
Related polytopes
DualSquare-decagrammic duotegum
ConjugateSquare-decagonal duoprism
Properties
ConvexNo
OrientableYes
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 meeting 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:

  • (±1/2, ±1/2, ±1/2, ±5–25/2),
  • (±1/2, ±1/2, ±(3–5)/4, ±(5–5)/8),
  • (±1/2, ±1/2, ±(5–1)/2, 0).

External links[edit | edit source]