| Vertices: | 18 (12[4] + 6[8]) |
| Faces: | 24 (bowties) |
| Edges: | 48 (24 short + 24 long) |
| Symmetry: | Full Octahedral (Oh) |
| Dihedral Angle: | acos(−(7−4*sqrt(2))/17) | ≈94.531580798 degrees |
| Dual Solid: | Great Rhombihexahedron |
| (values below based on unit-edge-length Great Rhombihexahedron) |
| Short Edge (24): | sqrt(2*(2−sqrt(2))) | ≈1.0823922002923939688 |
| Long Edge (24): | 2*sqrt(2−sqrt(2)) | ≈1.5307337294603590869 |
| [8]-Vertex Radius (6): | 2−sqrt(2) | ≈0.58578643762690495120 |
| [4]-Vertex Radius (12): | sqrt(2) | ≈1.4142135623730950488 |
| Edge-scribed Radius: | sqrt(2*(2−sqrt(2)))/2 | ≈0.54119610014619698440 |
| Inscribed Radius: | sqrt(34*(7−4*sqrt(2)))/17 | ≈0.39751370683102677943 |
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