| Vertices: | 60 (24[4] + 24[4] + 12[4]) |
| Faces: | 62 (24 mirror-symmetric pentagons + 6 squares
+ 32 equilateral triangles) |
| Edges: | 120 (96 short + 24 long) |
| Symmetry: | Chiral Octahedral (O) |
| (values below based on short edge length = 1) |
| Short Edge (96): | 1 |
| Long Edge (24): | sqrt(2) | ≈1.4142135623730950488 |
| Circumscribed Radius: | sqrt(3*(7+cbrt(199+3*sqrt(33))
+cbrt(199−3*sqrt(33))))/3 | ≈2.49444633598728650354 |
| Volume: | sqrt(9808+cbrt(946005042176
+2755642368*sqrt(33))
+cbrt(946005042176
−2755642368*sqrt(33)))/3 | ≈57.194349268844263869 |