Octagrammic-decagonal duoprism

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Octagrammic-decagonal duoprism
Rank4
TypeUniform
SpaceSpherical
Bowers style acronymStodedip
Info
Coxeter diagramx8/3o x10o
SymmetryI2(8)×I2(10), order 320
ArmySemi-uniform odedip
RegimentStodedip
Elements
Vertex figureDigonal disphenoid, edge lengths 2–2 (base 1), (5+5)/2 (base 2), 2 (sides)
Cells10 octagrammic prisms, 8 decagonal prisms
Faces80 squares, 10 octagrams, 8 decagons
Edges80+80
Vertices80
Measures (edge length 1)
Circumradius(5+52)/2 ≈ 1.70614
Hypervolume5(2–1)5+25 ≈ 6.37409
Dichoral anglesStop–8/3–stop: 144°
 Dip–10–dip: 45°
 Stop–4–dip: 90°
Central density3
Related polytopes
DualOctagrammic-decagonal duotegum
ConjugatesOctagonal-decagonal duoprism, Octagonal-decagrammic duoprism, Octagrammic-decagrammic duoprism
Properties
ConvexNo
OrientableYes
NatureTame


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

Vertex coordinates[edit | edit source]

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

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

External links[edit | edit source]