| Vertices: | 48 (24[3] + 24[4]) |
| Faces: | 38 (8 equilateral triangles + 6 squares + 24 mirror-symmetric pentagons) |
| Edges: | 84 (24 short + 24 medium + 36 long) |
| Symmetry: | Chiral Octahedral (O) |
| Dual Solid: | Orthokis Propello Cube |
| (values below based on edge-scribed radius = 1) |
| Short Edge (24): | sqrt(root[529*(x^5)+3164*(x^4)
+43360*(x^3)−87296*(x^2)+18688*x−1024]) | ≈0.30775393680051673651 |
| Medium Edge (24): | sqrt(root[529*(x^5)−4384*(x^4)
+15872*(x^3)−21984*(x^2)+5376*x−256]) | ≈0.47902783311164026776 |
| Long Edge (36): | sqrt(root[(x^5)+12*(x^4)
+96*(x^3)−4608*(x^2)+4352*x−1024]) | ≈0.65030172942276379902 |
| Edge-scribed Radius: | 1 |
| Volume: | sqrt(root[5th-order polynomial]) | ≈3.9461882682839782988 |