| Vertices: | 32 (8[3] + 24[4]) |
| Faces: | 30 (6 squares + 24 irregular tetragons) |
| Edges: | 60 (24 short + 24 medium + 12 long) |
| Symmetry: | Chiral Octahedral (O) |
| Short Edge Angle: | acos(-root[(x^5)+6*(x^4)
+45*(x^3)+12*(x^2)−20*x−8]) | ≈133.388408691 degrees |
| Medium Edge Angle: | acos(-root[3*(x^5)−15*(x^4)
+7*(x^3)+48*(x^2)−27]) | ≈140.083195107 degrees |
| Long Edge Angle: | acos(-root[9*(x^5)+87*(x^4)
+655*(x^3)+692*(x^2)−534*x−713]) | ≈159.170795734 degrees |
| Dual Solid: | Biscribed Propello Octahedron |
| (values below based on inscribed radius = 1) |
| Short Edge (24): | sqrt(root[(x^5)+56*(x^4)+6468*(x^3)
−2480*(x^2)+960*x−256]) | ≈0.55919602891294044122 |
| Medium Edge (24): | sqrt(root[(x^5)+20*(x^4)+1648*(x^3)
+6080*(x^2)+4096*x−4096]) | ≈0.72629651761238644392 |
| Long Edge (12): | sqrt(root[(x^5)−12*(x^4)+10729*(x^3)
−12412*(x^2)+39152*x−33856]) | ≈0.95910726318549441417 |
| Circumscribed Radius: | sqrt(root[(x^5)+5*(x^4)+382*(x^3)
−426*(x^2)−63*x−27]) | ≈1.1241678325534580897 |
| Inscribed Radius: | 1 |
| Volume: | root[(x^5)−36*(x^4)+388*(x^3)
−992*(x^2)−256*x−2048] | ≈4.7423130642397570220 |