| Vertices: | 38 (8[3] + 6[4] + 24[5]) |
| Faces: | 48 (24 isosceles triangles + 24 irregular tetragons) |
| Edges: | 84 (12 short + 24 medium1 + 24 medium2 + 24 long) |
| Symmetry: | Chiral Octahedral (O) |
| Dual Solid: | Biscribed Orthotruncated Propello Octahedron |
| (values below based on circumscribed radius = 1) |
| Short Edge (12): | sqrt(root[8th-order polynomial]) | ≈0.44099016460256747031 |
| Medium1 Edge (24): | sqrt(root[8th-order polynomial]) | ≈0.46638255292592305539 |
| Medium2 Edge (24): | sqrt(root[8th-order polynomial]) | ≈0.64233130729988412774 |
| Long Edge (24): | sqrt(root[8th-order polynomial]) | ≈0.860269705080932224751 |
| Circumscribed Radius: | 1 |
| Inscribed Radius: | sqrt(root[8th-order polynomial]) | ≈0.90166201237688572029 |
| Volume: | root[8th-order polynomial] | ≈3.4353560813691412429 |