| Vertices: | 36 (24[4] + 12[4]) |
| Faces: | 38 (6 regular octagons + 8 equilateral triangles
+ 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(2+sqrt(2)) | ≈1.8477590650225735123 |
| Circumscribed Radius: | 2+sqrt(2) | ≈3.4142135623730950488 |
| Volume: | 2*(81+56*sqrt(2))/3 | ≈106.79730632859554849 |
|