| Vertices: | 20 (8[3] + 6[4] + 6[8]) |
| Faces: | 24 (darts) |
| Edges: | 48 (24 short + 24 long) |
| Symmetry: | Full Octahedral (Oh) |
| Dihedral Angle: | acos(−(7+4*sqrt(2))/17) | ≈138.117959056 degrees |
| Dual Solid: | Small Cubicuboctahedron |
| (values below based on unit-edge-length Small Cubicuboctahedron) |
| Short Edge (24): | 2*sqrt(2*(26+17*sqrt(2)))/7 | ≈2.8583320542408706014 |
| Long Edge (24): | 2*sqrt(2+sqrt(2)) | ≈3.69551813004514702451 |
| Dart Length: | 2*sqrt(31−8*sqrt(2))/7 | ≈1.2676924722362712507 |
| Dart Width: | 2*(1+sqrt(2)) | ≈4.8284271247461900976 |
| [3]-Vertex Radius (8): | (4*sqrt(3)+sqrt(6))/7 | ≈1.3396704247226696103 |
| [4]-Vertex Radius (6): | sqrt(2) | ≈1.4142135623730950488 |
| [8]-Vertex Radius (6): | 2+sqrt(2) | ≈3.4142135623730950488 |
| Edge-scribed Radius: | sqrt(2*(2+sqrt(2)))/2 | ≈1.3065629648763765279 |
| Inscribed Radius: | sqrt(34*(7+4*sqrt(2)))/17 | ≈1.2202629537976100741 |
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