| Vertices: | 48 (24[4] + 24[4]) |
| Faces: | 50 (18 squares + 24 tri-equilateral trapezoids
+ 8 equilateral triangles) |
| Edges: | 96 (24 short + 72 long) |
| Symmetry: | Full Octahedral (Oh) |
| (values below based on short edge length = 1) |
| Short Edge (24): | 1 |
| Long Edge (72): | sqrt(2) | ≈1.4142135623730950488 |
| Circumscribed Radius: | sqrt(2*(2+sqrt(2))) | ≈2.6131259297527530557 |
| Volume: | 2*(45+37*sqrt(2))/3 | ≈64.883934538536344537 |
|