Pentagrammic-decagonal duoprism

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Pentagrammic-decagonal duoprism
Rank4
TypeUniform
SpaceSpherical
Bowers style acronymStardedip
Info
Coxeter diagramx5/2o x10o
SymmetryH2×I2(10), order 200
ArmySemi-uniform padedip
RegimentStardedip
Elements
Vertex figureDigonal disphenoid, edge lengths (5–1)/2 (base 1), (5+5)/2 (base 2), 2 (sides)
Cells10 pentagrammic prisms, 5 decagonal prisms
Faces50 squares, 10 pentagrams, 5 decagons
Edges50+50
Vertices50
Measures (edge length 1)
Circumradius2(5+5)/5 ≈ 1.70130
Hypervolume25/8 = 3.125
Dichoral anglesStip–5/2–stip: 144°
 Dip–10–dip: 36°
 Stip–4–dip: 90°
Central density2
Related polytopes
DualPentagrammic-decagonal duotegum
ConjugatesPentagonal-decagonal duoprism, Pentagonal-decagrammic duoprism, Pentagrammic-decagrammic duoprism
Properties
ConvexNo
OrientableYes
NatureTame


The pentagrammic-decagonal duoprism, also known as stardedip or the 5/2-10 duoprism, is a uniform duoprism that consists of 10 pentagrammic prisms and 5 decagonal prisms, with 2 of each meeting at each vertex.

Vertex coordinates[edit | edit source]

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

  • (±1/2, –(5–25)/20, ±1/2, ±5+25/2),
  • (±1/2, –(5–25)/20, ±(3+5)/4, ±(5+5)/8),
  • (±1/2, –(5–25)/20, ±(1+5)/2, 0),
  • (±(5–1)/4, (5+5)/40, ±1/2, ±5+25/2),
  • (±(5–1)/4, (5+5)/40, ±(3+5)/4, ±(5+5)/8),
  • (±(5–1)/4, (5+5)/40, ±(1+5)/2, 0),
  • (0, –(5–5)/10, ±1/2, ±5+25/2),
  • (0, –(5–5)/10, ±(3+5)/4, ±(5+5)/8),
  • (0, –(5–5)/10, ±(1+5)/2, 0).

External links[edit | edit source]