Decagrammic duoprism

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Decagrammic duoprism
10-3-10-3 duoprism.png
Rank4
TypeUniform
SpaceSpherical
Bowers style acronymStadidip
Info
Coxeter diagramx10/3o x10/3o
SymmetryI2(10)≀S2, order 800
ArmyDedip
RegimentStadidip
Elements
Vertex figureTetragonal disphenoid, edge lengths (5–5)/2 (bases) and 2 (sides)
Cells20 decagrammic prisms
Faces100 squares, 20 decagrams
Edges200
Vertices100
Measures (edge length 1)
Circumradius3–5 ≈ 0.87403
Inradius5–25/2 ≈ 0.36327
Hypervolume25(5–25)/4 ≈ 3.29915
Dichoral anglesStiddip–10/3–stiddip: 72°
 Stiddip–4–stiddip: 90°
Central density9
Related polytopes
DualDecagrammic duotegum
ConjugateDecagonal duoprism
Properties
ConvexNo
OrientableYes
NatureTame

The decagrammic duoprism or stadidip, also known as the decagrammic-decagrammic duoprism, the 10/3 duoprism or the 10/3-10/3 duoprism, is a noble uniform duoprism that consists of 20 decagrammic prisms and 100 vertices.

Vertex coordinates[edit | edit source]

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

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

External links[edit | edit source]