# Square-decagrammic duoprism

(Redirected from 10/3-4 duoprism)
Square-decagrammic duoprism
Rank4
TypeUniform
SpaceSpherical
Info
Coxeter diagramx4o x10/3o
SymmetryBC2×I2(10), order 160
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)
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

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).