|Bowers style acronym||Otwadip|
|Coxeter diagram||x8o x12o ()|
|Cells||12 octagonal prisms, 8 dodecagonal prisms|
|Faces||96 squares, 12 octagons, 8 dodecagons|
|Vertex figure||Digonal disphenoid, edge lengths √ (base 1), (√+√)/2 (base 2), and √ (sides)|
|Measures (edge length 1)|
|Dichoral angles||Op–8–op: 150°|
|Number of external pieces||20|
|Level of complexity||6|
|Conjugates||Octagonal-dodecagrammic duoprism, Octagrammic-dodecagonal duoprism, Octagrammic-dodecagrammic duoprism|
|Abstract & topological properties|
|Symmetry||I2(8)×I2(12), order 384|
The octagonal-dodecagonal duoprism or otwadip, also known as the 8-12 duoprism, is a uniform duoprism that consists of 8 dodecagonal prisms and 12 octagonal prisms, with two of each joining at each vertex.
This polychoron can be alternated into a square-hexagonal duoantiprism, although it cannot be made uniform. The octagons can also be alternated into long rectangles to create a hexagonal-square prismantiprismoid or the dodecagons into long ditrigons to create a square-hexagonal prismantiprismoid, or it can be subsymmetrically faceted into a digonal-triangular tetraswirlprism, which are nonuniform.
Vertex coordinates[edit | edit source]
The coordinates of an octagonal-dodecagonal duoprism of edge length 1, centered at the origin, are given by:
Representations[edit | edit source]
An octagonal-dodecagonal duoprism has the fllowing Coxeter diagrams:
- x8o x12o (full symmetry)
- x4x x12o (octagons as ditetragons)
- x6x x8o (dodecagons as dihexagons)
- x4x x6x (both of these applied)
[edit | edit source]
- Bowers, Jonathan. "Category A: Duoprisms".
- Klitzing, Richard. "otwadip".