Pentagonal-decagrammic duoprism

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Pentagonal-decagrammic duoprism
Rank4
TypeUniform
Notation
Bowers style acronymPistadedip
Coxeter diagramx5o x10/3o ()
Elements
Cells10 pentagonal prisms, 5 decagrammic prisms
Faces50 squares, 10 pentagons, 5 decagrams
Edges50+50
Vertices50
Vertex figureDigonal disphenoid, edge lengths (1+5)/2 (base 1), (5–5)/2 (base 2), 2 (sides)
Measures (edge length 1)
Circumradius
Hypervolume
Dichoral anglesStiddip–10/3–stiddip: 108°
 Pip–4–stiddip: 90°
 Pip–5–pip: 72°
Central density3
Number of external pieces25
Level of complexity12
Related polytopes
ArmySemi-uniform padedip
RegimentPistadedip
DualPentagonal-decagrammic duotegum
ConjugatePentagrammic-decagonal duoprism
Abstract & topological properties
Flag count1200
Euler characteristic0
OrientableYes
Properties
SymmetryH2×I2(10), order 200
ConvexNo
NatureTame

The pentagonal-decagrammic duoprism, also known as pistadedip or the 5-10/3 duoprism, is a uniform duoprism that consists of 10 pentagonal prisms and 5 decagrammic prisms, with two of each at each vertex.

Vertex coordinates[edit | edit source]

The coordinates of a pentagonal-decagrammic duoprism, centered at the origin and with edge length 1, are given by:

  • ,
  • ,
  • ,
  • ,
  • ,
  • ,
  • ,
  • ,
  • .

Representations[edit | edit source]

A pentagonal-decagrammic duoprism duoprism has the following Coxeter diagrams:

External links[edit | edit source]