| Vertices: | 56 (8[3] + 24[3] + 24[3]) |
| Faces: | 30 (6 squares + 24 irregular hexagons) |
| Edges: | 84 (24 short + 24 medium1 + 24 medium2 + 12 long) |
| Symmetry: | Chiral Octahedral (O) |
| Dual Solid: | Biscribed Tetrakis Snub Cube (laevo) |
| (values below based on inscribed radius = 1) |
| Short Edge (24): | sqrt(root[9th-order polynomial]) | ≈0.10709649669010600023 |
| Medium1 Edge (24): | sqrt(root[9th-order polynomial]) | ≈0.51272528073730193183 |
| Medium2 Edge (24): | sqrt(root[9th-order polynomial]) | ≈0.67302163534468088301 |
| Long Edge (12): | sqrt(root[9th-order polynomial]) | ≈0.797241728944254844346 |
| Circumscribed Radius: | sqrt(root[9th-order polynomial]) | ≈1.1074651510639123962 |
| Inscribed Radius: | 1 |
| Volume: | root[9th-order polynomial] | ≈4.6905898987806428871 |