| Vertices: | 30 (6[4] + 24[6]) |
| Faces: | 56 (8 equilateral triangles + 24 isosceles triangles + 24 acute triangles) |
| Edges: | 84 (12 short + 24 medium1 + 24 medium2 + 24 long) |
| Symmetry: | Chiral Octahedral (O) |
| Dual Solid: | Biscribed Hexpropello Cube (dextro) |
| (values below based on circumscribed radius = 1) |
| Short Edge (12): | sqrt(root[9th-order polynomial]) | ≈0.5031995928824443126502 |
| Medium1 Edge (24): | sqrt(root[9th-order polynomial]) | ≈0.63787372873823225490 |
| Medium2 Edge (24): | sqrt(root[9th-order polynomial]) | ≈0.74429411655266478932 |
| Long Edge (24): | sqrt(root[9th-order polynomial]) | ≈0.85497891376889242362 |
| Circumscribed Radius: | 1 |
| Inscribed Radius: | sqrt(root[9th-order polynomial]) | ≈0.90296295015633360926 |
| Volume: | root[9th-order polynomial] | ≈3.3853043446185777506 |