|Bowers style acronym||Datwadip|
|Coxeter diagram||x10o x12o ()|
|Cells||12 decagonal prisms, 10 dodecagonal prisms|
|Faces||120 squares, 12 decagons, 10 dodecagons|
|Vertex figure||Digonal disphenoid, edge lengths √ (base 1), (√+√)/2 (base 2), and √ (sides)|
|Measures (edge length 1)|
|Dichoral angles||Twip–12–twip: 144°|
|Number of external pieces||22|
|Level of complexity||6|
|Conjugates||Decagonal-dodecagrammic duoprism, Decagrammic-dodecagonal duoprism, Decagrammic-dodecagrammic duoprism|
|Abstract & topological properties|
|Symmetry||I2(10)×I2(12), order 480|
The decagonal-dodecagonal duoprism or datwadip, also known as the 10-12 duoprism, is a uniform duoprism that consists of 10 dodecagonal prisms and 12 decagonal prisms, with two of each joining at each vertex.
This polychoron can be alternated into a pentagonal-hexagonal duoantiprism, although it cannot be made uniform. The dodecagons can also be alternated into long ditrigons to create a pentagonal-hexagonal prismantiprismoid, which is also nonuniform.
Vertex coordinates[edit | edit source]
The coordinates of a decagonal-dodecagonal duoprism of edge length 1, centered at the origin, are given by:
Representations[edit | edit source]
A decagonal-dodecagonal duoprism has the following Coxeter diagrams:
- x10o x12o (full symmetry)
- x5x x12o (decagons as dipentagons)
- x6x x10o (dodecagons as dihexagons)
- x5x x6x (both of these applied)
[edit | edit source]
- Bowers, Jonathan. "Category A: Duoprisms".