Dodecagonal duotruncatoalterprism
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| Dodecagonal duotruncatoalterprism | |
|---|---|
| Rank | 4 |
| Type | Isogonal |
| Space | Spherical |
| Elements | |
| Cells | 144 tetragonal disphenoids, 144 rectangular trapezoprisms, 24 dodecagonal prisms, 48 dodecagonal cupolas |
| Faces | 576 isosceles triangles, 576 isosceles trapezoids, 288 rectangles, 48 dodecagons, 24 didodecagons |
| Edges | 288+288+576+576 |
| Vertices | 576 |
| Vertex figure | Monoaugmented isosceles trapezoidal pyramid |
| Measures (edge length 1) | |
| Central density | 1 |
| Related polytopes | |
| Dual | Dodecagonal duotruncatoaltertegum |
| Abstract & topological properties | |
| Euler characteristic | 0 |
| Orientable | Yes |
| Properties | |
| Symmetry | I2(12)≀S2, order 1152 |
| Convex | Yes |
| Nature | Tame |
The dodecagonal duotruncatoalterprism is a convex isogonal polychoron and the eleventh member of the duotruncatoalterprism family. It consists of 24 dodecagonal prisms, 48 dodecagonal cupolas, 144 rectangular trapezoprisms, and 144 tetragonal disphenoids. 1 dodecagonal prism, 3 dodecagonal cupolas, 2 rectangular trapezoprisms, and 1 tetragonal disphenoid join at each vertex. It can be obtained as the convex hull of two orthogonal dodecagonal-didodecagonal duoprisms. However, it cannot be made scaliform.