| Vertices: | 80 (8[3] + 24[3] + 24[3] + 24[3]) |
| Faces: | 42 (18 squares + 24 mirror-symmetric heptagons) |
| Edges: | 120 (96 short + 24 long) |
| Symmetry: | Full Octahedral (Oh) |
| (values below based on short edge length = 1) |
| Short Edge (96): | 1 |
| Long Edge (24): | (4+sqrt(2)+sqrt(10−sqrt(2)))/7 | ≈1.1920521182411517900 |
| Max Vertex Radius: | sqrt(2*(294+147*sqrt(2)
+12*sqrt(2*(370+257*sqrt(2)))))/14 | ≈3.1322741694649008294 |
| Edge-scribed Radius: | (1+sqrt(2)+2*sqrt(2+sqrt(2)))/2 | ≈3.0548658462091210367 |
| Volume: | (206+125*sqrt(2)
+2*sqrt(2*(9698+6439*sqrt(2))))/7 | ≈110.09051253596901653 |