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) | ≈138.117959056 degrees |
Dual Solid: | Small Rhombihexahedron |
(values below based on unit-edge-length Small Rhombihexahedron) |
Short Edge (24): | sqrt(2*(2+sqrt(2))) | ≈2.6131259297527530557 |
Long Edge (24): | 2*sqrt(2+sqrt(2)) | ≈3.69551813004514702451 |
[4]-Vertex Radius (12): | 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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