# Octagonal-decagrammic duoprism

Octagonal-decagrammic duoprism
Rank4
TypeUniform
SpaceSpherical
Info
Coxeter diagramx8o x10/3o
SymmetryI2(8)×I2(10), order 320
ArmySemi-uniform odedip
Elements
Vertex figureDigonal disphenoid, edge lengths 2+2 (base 1), (5–5)/2 (base 2), 2 (sides)
Cells10 octagonal prisms, 8 decagrammic prisms
Faces80 squares, 10 octagons, 8 decagrams
Edges80+80
Vertices80
Measures (edge length 1)
Hypervolume55–25(2+1) ≈ 8.77014
Dichoral anglesOp–8–op: 72°
Stiddip–10/3–stiddip: 135°
Op–4–stiddip: 90°
Central density3
Related polytopes
DualOctagonal-decagrammic duotegum
ConjugatesOctagonal-decagonal duoprism, Octagrammic-decagonal duoprism, Octagrammic-decagrammic duoprism
Properties
ConvexNo
OrientableYes
NatureTame

The octagonal-decagrammic duoprism, also known as ostadedip or the 8-10/3 duoprism, is a uniform duoprism that consists of 10 octagonal prisms and 8 decagrammic prisms, with 2 of each meeting at each vertex.

## Vertex coordinates

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

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