| Vertices: | 20 (8[3] + 6[4] + 6[8]) |
| Faces: | 24 (kites) |
| Edges: | 48 (24 short + 24 long) |
| Symmetry: | Full Octahedral (Oh) |
| Dihedral Angle: | acos(−(7−4*sqrt(2))/17) | ≈94.531580798 degrees |
| Dual Solid: | Great Cubicuboctahedron |
| (values below based on unit-edge-length Great Cubicuboctahedron) |
| Short Edge (24): | 2*sqrt(2*(26−17*sqrt(2)))/7 | ≈0.56545007389380691572 |
| Long Edge (24): | 2*sqrt(2−sqrt(2)) | ≈1.5307337294603590869 |
| Kite Length: | 2*sqrt(31+8*sqrt(2))/7 | ≈1.8585425164981857394 |
| Kite Width: | 2*(sqrt(2)−1) | ≈0.82842712474619009760 |
| [4]-Vertex Radius (6): | 2−sqrt(2) | ≈0.58578643762690495120 |
| [3]-Vertex Radius (8): | (4*sqrt(3)−sqrt(6))/7 | ≈0.63981621249890443942 |
| [8]-Vertex Radius (6): | 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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