| Vertices: | 48 (24[3] + 24[4]) |
| Faces: | 38 (8 equilateral triangles + 6 squares + 24 irregular pentagons) |
| Edges: | 84 (24 short + 24 medium1 + 24 medium2 + 12 long) |
| Symmetry: | Chiral Octahedral (O) |
| Dual Solid: | Biscribed Orthokis Propello Cube |
| (values below based on inscribed radius = 1) |
| Short Edge (24): | sqrt(root[8th-order polynomial]) | ≈0.10959662790082434984 |
| Medium1 Edge (24): | sqrt(root[8th-order polynomial]) | ≈0.67826365956820116929 |
| Medium2 Edge (24): | sqrt(root[8th-order polynomial]) | ≈0.83069993850744507828 |
| Long Edge (12): | sqrt(root[8th-order polynomial]) | ≈0.84597447878540232949 |
| Circumscribed Radius: | sqrt(root[8th-order polynomial]) | ≈1.1090630261375700306 |
| Inscribed Radius: | 1 |
| Volume: | root[8th-order polynomial] | ≈4.6165079467883361932 |