| Vertices: | 14 (6[4] + 8[6]) |
| Faces: | 24 (isosceles triangles) |
| Edges: | 36 (24 short + 12 long) |
| Symmetry: | Full Octahedral (Oh) |
| Dihedral Angle: | acos(−4/5) | ≈143.130102354 degrees |
| Dual Solid: | Truncated Octahedron |
| (values below based on unit-edge-length Truncated Octahedron) |
| Short Edge (24): | 9*sqrt(2)/8 | ≈1.5909902576697319299 |
| Long Edge (12): | 3*sqrt(2)/2 | ≈2.1213203435596425732 |
| [4]-Vertex Radius (6): | 9*sqrt(2)/8 | ≈1.5909902576697319299 |
| [6]-Vertex Radius (8): | 3*sqrt(6)/4 | ≈1.8371173070873835736 |
| Edge-scribed Radius: | 3/2 | 1.5 |
| Inscribed Radius: | 9*sqrt(10)/20 | ≈1.4230249470757706994 |
| Volume: | 81*sqrt(2)/8 | ≈14.318912319027587369 |
| References: | [1] | Eugène Catalan, Mémoire sur la Théorie des Polyèdres,
Journal de l'École polytechnique 41 (1865), 1-71, +7 plates. |
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