| Vertices: | 50 (8[3] + 24[4] + 12[4] + 6[4]) |
| Faces: | 48 (24 kites + 24 rhombi) |
| Edges: | 96 (24 short + 72 long) |
| Symmetry: | Full Octahedral (Oh) |
| Long Edge Angle: | acos(−(2+sqrt(2))/4) | ≈148.600285190 degrees |
| Short Edge Angle: | acos(−(6+sqrt(2))/8) | ≈157.937808842 degrees |
| (values below based on unit-edge-length Rhombicuboctahedron) |
| Short Edge (24): | sqrt(69−2*sqrt(2))/14 | ≈0.58104222367231665644 |
| Long Edge (72): | sqrt(5−2*sqrt(2))/2 | ≈0.73681287910395029658 |
| Rhombus Length: | sqrt(2*(2−sqrt(2))) | ≈1.0823922002923939688 |
| Rhombus Width: | 1 |
| Kite Length: | 2*sqrt(10−sqrt(2))/7 | ≈0.83718607580427642316 |
| Kite Width: | 1 |
| [3]-Vertex Radius (8): | (4*sqrt(3)+sqrt(6))/7 | ≈1.3396704247226696103 |
| [4]-Vertex Radius (24): | sqrt(5+2*sqrt(2))/2 | ≈1.3989663259659067020 |
| [4]-Vertex Radius (12): | sqrt(2) | ≈1.4142135623730950488 |
| [4]-Vertex Radius (6): | sqrt(2) | ≈1.4142135623730950488 |
| Inscribed Radius: | sqrt(2*(2+sqrt(2)))/2 | ≈1.3065629648763765279 |
| Volume: | 4*(2+11*sqrt(2))/7 | ≈10.0321995349165974496 |
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