|Bowers style acronym||Hahedip|
|Coxeter diagram||x6o x7o ()|
|Cells||7 hexagonal prisms, 6 heptagonal prisms|
|Faces||42 squares, 7 hexagons, 6 heptagons|
|Vertex figure||Digonal disphenoid, edge lengths √ (base 1), 2cos(π/7) (base 2), and √ (sides)|
|Measures (edge length 1)|
|Number of external pieces||13|
|Level of complexity||6|
|Conjugates||Hexagonal-heptagrammic duoprism, Hexagonal-great heptagrammic duoprism|
|Abstract & topological properties|
|Symmetry||G2×I2(7), order 168|
The hexagonal-heptagonal duoprism or hahedip, also known as the 6-7 duoprism, is a uniform duoprism that consists of 6 heptagonal prisms and 7 hexagonal prisms, with two of each joining at each vertex.
Vertex coordinates[edit | edit source]
The coordinates of a hexagonal-heptagonal 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 hexagonal-heptagonal duoprism has the following Coxeter diagrams:
- x6o x7o (full symmetry)
- x3x x7o () (hexagons as ditrigons)
[edit | edit source]
- Bowers, Jonathan. "Category A: Duoprisms".
- Klitzing, Richard. "n-m-dip".