Triangular-decagonal duoprismatic prism
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Triangular-decagonal duoprismatic prism | |
---|---|
Rank | 5 |
Type | Uniform |
Notation | |
Bowers style acronym | Tradip |
Coxeter diagram | x x3o x10o |
Elements | |
Tera | 10 triangular-square duoprisms, 2 triangular-decagonal duoprisms, 3 square-decagonal duoprisms |
Cells | 10+20 triangular prisms, 30 cubes, 3+6 decagonal prisms |
Faces | 20 triangles, 30+30+60 squares, 6 decagons] |
Edges | 30+60+60 |
Vertices | 60 |
Vertex figure | Digonal disphenoidal pyramid, edge lengths 1 (disphenoid base 1), √(5+√5)/2 (disphenoid base 2), √2 (remaining edges) |
Measures (edge length 1) | |
Circumradius | |
Hypervolume | |
Diteral angles | Tisdip–trip–tisdip: 144° |
Tradedip–trip–tisdip: 90° | |
Squadedip–cube–tisdip: 90° | |
Tradedip–dip–squadedip: 90° | |
Squadedip–dip–squadedip: 60° | |
Heights | Tradedip atop tradedip: 1 |
Dip atop squadedip: | |
Central density | 1 |
Number of external pieces | 15 |
Level of complexity | 30 |
Related polytopes | |
Army | Tradip |
Regiment | Tradip |
Dual | Triangular-decagonal duotegmatic tegum |
Conjugate | Triangular-decagrammic duoprismatic prism |
Abstract & topological properties | |
Euler characteristic | 2 |
Orientable | Yes |
Properties | |
Symmetry | A2×I2(10)×A1, order 240 |
Convex | Yes |
Nature | Tame |
The triangular-decagonal duoprismatic prism or tradip, also known as the triangular-decagonal prismatic duoprism, is a convex uniform duoprism that consists of 2 triangular-decagonal duoprisms, 3 square-decagonal duoprisms, and 10 triangular-square duoprisms. Each vertex joins 2 triangular-square duoprisms, 2 square-decagonal duoprisms, and 1 triangular-decagonal duoprism. Being a prism based on an orbiform polytope, it is also a convex segmentoteron.
Vertex coordinates[edit | edit source]
The vertices of a triangular-decagonal duoprismatic prism of edge length 1 are given by:
Representations[edit | edit source]
A triangular-decagonal duoprismatic prism has the following Coxeter diagrams:
- x x3o x10o (full symmetry)
- xx3oo xx10oo&#x (triangular-decagonal duoprism atop triangular-decagonal duoprism)
- ox xx xx10oo&#x (decagonal prism atop square-decagonal duoprism)