| Vertices: | 72 (48[3] + 24[3]) |
| Faces: | 38 (8 tri-symmetric dodecagons
+ 6 regular octagons + 24 isosceles triangles) |
| Edges: | 108 (48 short + 48 medium + 12 long) |
| Symmetry: | Full Octahedral (Oh) |
| (values below based on edge-scribed radius = 1) |
| Short Edge (48): | 2*(sqrt(2)−1)/3 | ≈0.27614237491539669920 |
| Medium Edge (48): | (8−5*sqrt(2))/3 | ≈0.30964406271150825200 |
| Long Edge (12): | 6−4*sqrt(2) | ≈0.34314575050761980479 |
| Edge-scribed Radius: | 1 |
| Volume: | 16*(16*sqrt(2)−17)/27 | ≈3.3347656284263826849 |
|