|Bowers style acronym||Titwadip|
|Coxeter diagram||x3o x12o ()|
|Cells||12 triangular prisms, 3 dodecagonal prisms|
|Faces||12 triangles, 36 squares, 3 dodecagons|
|Vertex figure||Digonal disphenoid, edge lengths 1 (base 1), (√+√)/2 (base 2), and √ (sides)|
|Measures (edge length 1)|
|Dichoral angles||Trip–3–trip: 150°|
|Number of external pieces||15|
|Level of complexity||6|
|Abstract & topological properties|
|Symmetry||A2×I2(12), order 144|
The triangular-dodecagonal duoprism or titwadip, also known as the 3-12 duoprism, is a uniform duoprism that consists of 3 dodecagonal prisms and 12 triangular prisms, with two of each joining at each vertex. It can also be seen as a convex segmentochoron, being a dodecagon atop a dodecagonal prism.
This polychoron can be subsymmetrically faceted into a 12-4 step prism, although it cannot be made uniform.
Vertex coordinates[edit | edit source]
The vertices of a triangular-dodecagonal duoprism of edge length 1, centered at the origin, are given by:
[edit | edit source]
- Bowers, Jonathan. "Category A: Duoprisms".
- Klitzing, Richard. "titwadip".