| Vertices: | 72 (24[4] + 24[4] + 24[4]) |
| Faces: | 74 (6 regular octagons + 8 regular hexagons
+ 12 squares + {24 * 2} acute triangles) |
| Edges: | 144 (48 short + 48 medium + 48 long) |
| Symmetry: | Full Octahedral (Oh) |
| (values below based on short edge length = 1) |
| Short Edge (48): | 1 |
| Medium Edge (48): | sqrt(6)/2 | ≈1.2247448713915890491 |
| Long Edge (48): | sqrt(2*(2+sqrt(2)))/2 | ≈1.3065629648763765279 |
| Circumscribed Radius: | sqrt(3*(2+sqrt(2))) | ≈3.2004125807650621011 |
| Volume: | 56+43*sqrt(2) | ≈116.81118318204308710 |
|