| Vertices: | 72 (48[3] + 24[3]) |
| Faces: | 38 (6 quad-symmetric hexadecagons
+ 8 regular hexagons + 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))/3 | ≈0.19526214587563498373 |
| Medium Edge (48): | (13−5*sqrt(2))/21 | ≈0.28233010419688213124 |
| Long Edge (12): | (4−sqrt(2))/7 | ≈0.36939806251812927874 |
| Edge-scribed Radius: | 1 |
| Volume: | 2*(240−109*sqrt(2))/63 | ≈2.72541973655024252954 |
|