| Vertices: | 36 (24[4] + 12[4]) |
| Faces: | 38 (8 regular hexagons + 6 squares
+ 24 isosceles triangles) |
| Edges: | 72 (24 short + 48 long) |
| Symmetry: | Full Octahedral (Oh) |
| (values below based on short edge length = 1) |
| Short Edge (24): | 1 |
| Long Edge (48): | sqrt(6)/2 | ≈1.2247448713915890491 |
| Circumscribed Radius: | 3*sqrt(2)/2 | ≈2.1213203435596425732 |
| Volume: | 31 [EXACT] |
|