| Vertices: | 96 (48[3] + 48[3]) |
| Faces: | 50 (6 regular octagons + 12 bi-mirror-symmetric octagons
+ 8 regular hexagons + 24 isosceles trapezoids) |
| Edges: | 144 (48 short + 48 medium + 48 long) |
| Symmetry: | Full Octahedral (Oh) |
| (values below based on edge-scribed radius = 1) |
| Short Edge (48): | sqrt(20−5*sqrt(2)
−sqrt(2*(117−46*sqrt(2))))/6 | ≈0.27568966006489138512 |
| Medium Edge (48): | sqrt(2*(109−61*sqrt(2)
−sqrt(13983−9704*sqrt(2))))/12 | ≈0.30333449651985873930 |
| Long Edge (48): | sqrt(3*(50−33*sqrt(2)
−sqrt(2*(2327−1644*sqrt(2)))))/6 | ≈0.33097933297482609348 |
| Edge-scribed Radius: | 1 |
| Volume: | sqrt(2*(6892−4021*sqrt(2)
+7*sqrt(2*(340965
−230614*sqrt(2)))))/18 | ≈3.8577270087113254860 |