| Vertices: | 56 (8[3] + 24[3] + 24[3]) |
| Faces: | 30 (6 squares + 24 mirror-symmetric hexagons) |
| Edges: | 84 (24 short + 24 medium + 36 long) |
| Symmetry: | Chiral Octahedral (O) |
| Dual Solid: | Tetrakis Snub Cube (laevo) |
| (values below based on edge-scribed radius = 1) |
| Short Edge (24): | sqrt(root[49*(x^3)−20*(x^2)+272*x−32]); | ≈0.34406193824601253170 |
| Medium Edge (24): | sqrt(root[49*(x^3)−82*(x^2)+60*x−8]) | ≈0.40994563074955008808 |
| Long Edge (36): | sqrt(root[(x^3)−12*(x^2)+144*x−32]) | ≈0.47582932325308764446 |
| Edge-scribed Radius: | 1 |
| Volume: | sqrt(root[117649*(x^3)−62905312*(x^2)
+10093554688*x−133838962688]) | ≈3.8133859329652841137 |