Triangular-decagonal duoprism

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Triangular-decagonal duoprism
Triangular-decagonal duoprism.png
Rank4
TypeUniform
SpaceSpherical
Bowers style acronymTradedip
Info
Coxeter diagramx3o x10o
SymmetryA2×I2(10), order 120
ArmyTradedip
RegimentTradedip
Elements
Vertex figureDigonal disphenoid, edge lengths 1 (base 1), (5+5)/2 (base 2), and 2 (sides)
Cells10 triangular prisms, 3 decagonal prisms
Faces10 triangles, 30 squares, 3 decagons
Edges30+30
Vertices30
Measures (edge length 1)
Circumradius
Hypervolume
Dichoral anglesTrip–3–trip: 144°
 Trip–4–dip: 90°
 Dip–10–dip: 60°
Height
Central density1
Euler characteristic0
Number of pieces13
Level of complexity6
Related polytopes
DualTriangular-decagonal duotegum
ConjugateTriangular-decagrammic duoprism
Properties
ConvexYes
OrientableYes
NatureTame

The triangular-decagonal duoprism or tradedip, also known as the 3-10 duoprism, is a uniform duoprism that consists of 3 decagonal prisms and 10 triangular prisms, with 2 of each at each vertex.

It is also a CRF segmentochoron, being decagon atop decagonal prism. It is designated K-4.94 on Richard Klitzing's list.

Vertex coordinates[edit | edit source]

Coordinates for the vertices of a triangular–decagonal duoprism of edge length 1, centered at the origin, are given by:

Representations[edit | edit source]

A triangular-decagonal duoprism has the following Coxeter diagrams:

  • x3o x10o (full symetry)
  • x3o x5x (A2×H2 symmetry, decagon as dipentagon)
  • ox xx10oo&#x (I2(10)×A1 axial, decagon atop decagon prism)
  • ox xx5xx&#x (H2×A1 axial)

External links[edit | edit source]