Dodecagonal duotegmatic alterprism
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| Dodecagonal duotegmatic alterprism | |
|---|---|
| File:Dodecagonal duotegmatic alterprism.png | |
| Rank | 5 |
| Type | Isogonal |
| Elements | |
| Tera | 288 isosceles triangular-triangular duotegums, 2 dodecagonal duotegums |
| Cells | 576 sphenoids, 576 rhombic disphenoids, 288 tetragonal disphenoids |
| Faces | 1152 scalene triangles, 48+576 isosceles triangles |
| Edges | 48+48+288+288 |
| Vertices | 48 |
| Vertex figure | Joined dodecagonal scalene |
| Measures (edge length 1) | |
| Central density | 1 |
| Related polytopes | |
| Dual | Dodecagonal duoprismatic altertegum |
| Abstract & topological properties | |
| Euler characteristic | 2 |
| Orientable | Yes |
| Properties | |
| Symmetry | ((I2(24)≀S2)/2×A1)/2, order 2304 |
| Convex | Yes |
| Nature | Tame |
The dodecagonal duotegmatic alterprism is a convex isogonal polyteron that consists of 2 dodecagonal duotegums and 288 isosceles triangular-triangular duotegums. 1 dodecagonal duotegum and 36 isosceles triangular-triangular duotegums join at each vertex. It can be formed as an alterprism of a dodecagonal duotegum, or as the hull of two opposite dodecagonal disphenoids.
Using the ratio method, the lowest possible ratio between the longest and shortest edges is 1: ≈ 1:2.86527.
