|Bowers style acronym||Odedip|
|Coxeter diagram||x8o x10o ()|
|Cells||10 octagonal prisms, 8 decagonal prisms|
|Faces||80 squares, 10 octagons, 8 decagons|
|Vertex figure||Digonal disphenoid, edge lengths √ (base 1), √ (base 2), and √ (sides)|
|Measures (edge length 1)|
|Dichoral angles||Op–8–op: 144°|
|Number of external pieces||18|
|Level of complexity||6|
|Conjugates||Octagonal-decagrammic duoprism, Octagrammic-decagonal duoprism, Octagrammic-decagrammic duoprism|
|Abstract & topological properties|
|Symmetry||I2(8)×I2(10), order 320|
The octagonal-decagonal duoprism or odedip, also known as the 8-10 duoprism, is a uniform duoprism that consists of 8 decagonal prisms and 10 octagonal prisms, with two of each joining at each vertex.
This polychoron can be alternated into a square-pentagonal duoantiprism, although it cannot be made uniform. The octagons can also be alternated into long rectangles to create a pentagonal-square prismantiprismoid, which is also nonuniform.
Vertex coordinates[edit | edit source]
The vertices of an octagonal-decagonal duoprism of edge length 1, centered at the origin, are given by:
Representations[edit | edit source]
An octagonal-decagonal duoprism has the following Coxeter diagrams:
- x8o x10o () (full symmetry)
- x5x x10o () (octagons as ditetragons0
- x5x x8o () (decagons as dipentagons)
- x4x x5x () (both of these applied)
[edit | edit source]
- Bowers, Jonathan. "Category A: Duoprisms".
- Klitzing, Richard. "odedip".