| Vertices: | 14 (8[3] + 6[8]) |
| Faces: | 24 (isosceles triangles) |
| Edges: | 36 (24 short + 12 long) |
| Symmetry: | Full Octahedral (Oh) |
| Dihedral Angle: | acos(−(3+8*sqrt(2))/17) | ≈147.350100126 degrees |
| Dual Solid: | Truncated Cube |
| (values below based on unit-edge-length Truncated Cube) |
| Short Edge (24): | 2 |
| Long Edge (12): | 2+sqrt(2) | ≈3.4142135623730950488 |
| [3]-Vertex Radius (8): | sqrt(3) | ≈1.73205080756887729353 |
| [8]-Vertex Radius (6): | 1+sqrt(2) | ≈2.4142135623730950488 |
| Edge-scribed Radius: | 1+sqrt(2)/2 | ≈1.7071067811865475244 |
| Inscribed Radius: | sqrt(17*(23+16*sqrt(2)))/17 | ≈1.6382813268065143234 |
| Volume: | 4*(3+2*sqrt(2)) | ≈23.313708498984760390 |
| 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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