| Vertices: | 20 (8[6] + 6[8] + 6[8]) |
| Faces: | 48 (obtuse triangles) |
| Edges: | 72 (24 short + 24 medium + 24 long) |
| Symmetry: | Full Octahedral (Oh) |
| Dihedral Angle: | acos(−5/7) | ≈135.584691403 degrees |
| Dual Solid: | Cubitruncated Cuboctahedron |
| (values below based on unit-edge-length Cubitruncated Cuboctahedron) |
| Short Edge (24): | 2*(sqrt(6)−sqrt(3)) | ≈1.4348778704286016093 |
| Medium Edge (24): | 3*sqrt(6) | ≈7.3484692283495342946 |
| Long Edge (24): | 2*(sqrt(3)+sqrt(6)) | ≈8.3630811007041107834 |
| [8]-Vertex Radius (6): | 3*(sqrt(2)−1) | ≈1.2426406871192851464 |
| [6]-Vertex Radius (8): | sqrt(3) | ≈1.73205080756887729353 |
| [8]-Vertex Radius (6): | 3*(1+sqrt(2)) | ≈7.2426406871192851464 |
| Edge-scribed Radius: | sqrt(6)/2 | ≈1.2247448713915890491 |
| Inscribed Radius: | 3*sqrt(7)/7 | ≈1.1338934190276816816 |
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