Truncated dodecagonal duoprism
|Truncated dodecagonal duoprism|
|Bowers style acronym||Tatwaddip|
|Cells||144 tetragonal disphenoids, 24 truncated dodecagonal prisms|
|Faces||576 isosceles triangles, 144 ditetragons, 24 didodecagons|
|Measures (based on icositetragon edge length 1)|
|Edge lengths||Lacing edges (576):|
|Edges of icositetragons (288+288): 1|
|Dual||Tetrakis dodecagonal duotegum|
|Abstract & topological properties|
|Symmetry||I2(12)≀S2, order 1152|
The truncated dodecagonal duoprism or tatwaddip is a convex isogonal polychoron that consists of 24 truncated dodecagonal prisms and 144 tetragonal disphenoids. 1 tetragonal disphenoid and 3 truncated dodecagonal prisms join at each vertex. It can be formed by truncating the dodecagonal duoprism.
It can also be obtained as the convex hull of 2 semi-uniform dodecagonal-icositetragonal duoprisms chosen such that the icositetragonal and dodecagonal prisms have the same circumradius. if the icositetragons of this duoprism have edge length 1, the dodecagons have edge length .
Using the ratio method, the lowest possible ratio between the longest and shortest edges is 1: ≈ 1:1.36603.