|Bowers style acronym||Hadedip|
|Coxeter diagram||x6o x10o|
|Symmetry||G2×I2(10), order 240|
|Vertex figure||Digonal disphenoid, edge lengths √ (base 1), √ (base 2), and √ (sides)|
|Cells||10 hexagonal prisms, 6 decagonal prisms|
|Faces||60 squares, 10 hexagons, 6 decagons|
|Measures (edge length 1)|
|Dichoral angles||Hip–6–hip: 144°|
|Number of pieces||16|
|Level of complexity||6|
The hexagonal-decagonal duoprism or hadedip, also known as the 6-10 duoprism, is a uniform duoprism that consists of 6 decagonal prisms and 10 hexagonal prisms, with two of each joining at each vertex.
This polychoron can be alternated into a triangular-pentagonal duoantiprism, although it cannot be made uniform.
Vertex coordinates[edit | edit source]
Coordinates for the vertices of a hexagonal-decagonal duoprism with edge length 1 are given by:
Representations[edit | edit source]
A hexagonal-decagonal duoprism has the following Coxeter diagrams:
- x6o x10o (full symmetry)
- x3x x10o (hexagons as ditrigons)
- x5x x6o (decagons as dipentagons)
- x3x x5x (both applied)
- xux xxx10ooo&#xt (decagonal axial)
- xux xxx5xxx&#xt (dipentagonal axial)
[edit | edit source]
- Bowers, Jonathan. "Category A: Duoprisms".
- Klitzing, Richard. "Hadedip".