Heptagonal-decagrammic duoprism

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Heptagonal-decagrammic duoprism
Rank4
TypeUniform
Notation
Bowers style acronymHestadedip
Coxeter diagramx7o x10/3o ()
Elements
Cells10 heptagonal prisms, 7 decagrammic prisms
Faces70 squares, 10 heptagons, 7 decagrams
Edges70+70
Vertices70
Vertex figureDigonal disphenoid, edge lengths 2cos(π/7) (base 1), (5–5)/2 (base 2), 2 (sides)
Measures (edge length 1)
Circumradius
Hypervolume
Dichoral anglesStiddip–10/3–stiddip:
 Hep–4–stiddip: 90°
 Hep–7–hep: 72°
Central density3
Number of external pieces27
Level of complexity12
Related polytopes
ArmySemi-uniform hedadip
RegimentHestadedip
DualHeptagonal-decagrammic duotegum
ConjugatesHeptagonal-decagonal duoprism, Heptagrammic-decagonal duoprism, Heptagrammic-decagrammic duoprism, Great heptagrammic-decagonal duoprism, Great heptagrammic-decagrammic duoprism
Abstract & topological properties
Flag count1680
Euler characteristic0
OrientableYes
Properties
SymmetryI2(7)×I2(10), order 280
ConvexNo
NatureTame

The heptagonal-decagrammic duoprism, also known as hestadedip or the 7-10/3 duoprism, is a uniform duoprism that consists of 10 heptagonal prisms and 7 decagrammic prisms, with 2 of each at each vertex.

Vertex coordinates[edit | edit source]

The coordinates of a heptagonal-decagrammic duoprism, centered at the origin and with edge length 2sin(π/7), are given by:

  • ,
  • ,
  • ,
  • ,
  • ,
  • ,

where j = 2, 4, 6.

Representations[edit | edit source]

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

External links[edit | edit source]