Truncated order-6 truncated triakis tetrahedron
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| Truncated order-6 truncated triakis tetrahedron | |
|---|---|
 | |
| Rank | 3 |
| Type | Near-miss |
| Elements | |
| Faces | 4 tri-symmetric dodecagons, 12 mirror-symmetric decagons, 12+12 isosceles triangles, 4 triangles |
| Edges | 24+24+24+12+12+12+12+6 |
| Vertices | 24+24+12+12+12 |
| Vertex figures | 12 isosceles triangle |
| isosceles triangle | |
| 24 scalene triangles | |
| 24 scalene triangles | |
| 12 isosceles triangle | |
| Measures (edge length 1) | |
| Edge length ratio | 1.08394 |
| Central density | 1 |
| Number of external pieces | 44 |
| Related polytopes | |
| Conjugate | None |
| Abstract & topological properties | |
| Euler characteristic | 2 |
| Surface | Sphere |
| Orientable | Yes |
| Genus | 0 |
| Properties | |
| Symmetry | A3, order 24 |
| Convex | Yes |
| Nature | Tame |
The truncated order-6 truncated triakis tetrahedron is a near-miss Johnson solid. Its faces are 4 tri-symmetric dodecagons, 12 mirror-symmetric decagons, 12+12 isosceles triangles and 4 regular triangles.
