| Vertices: | 32 (8[3] + 24[4]) |
| Faces: | 30 (6 squares + 24 tri-equiangular kites) |
| Edges: | 60 (24 short + 36 long) |
| Symmetry: | Chiral Octahedral (O) |
| (values below based on edge-scribed radius = 1) |
| Short Edge (24): | sqrt(root[25*(x^5)−604*(x^4)
+2016*(x^3)−4288*(x^2)+2816*x−512]) | ≈0.55223265799903573748 |
| Long Edge (36): | sqrt(root[(x^5)−4*(x^4)
+336*(x^3)−1728*(x^2)+1792*x−512]) | ≈0.72221762681161882860 |
| Edge-scribed Radius: | 1 |
| Volume: | sqrt(root[25*(x^5)+205312*(x^4)
+680951808*(x^3)−181399977984*(x^2)
+7490943057920*x−75698932809728]) | ≈3.9709421820401990627 |