| Vertices: | 30 (6[4] + 24[4]) |
| Faces: | 32 (8 equilateral triangles + 24 irregular tetragons) |
| Edges: | 60 (12 short + 24 medium + 24 long) |
| Symmetry: | Chiral Octahedral (O) |
| Short Edge Angle: | acos(-root[108*(x^5)+828*(x^4)
+2499*(x^3)+2789*(x^2)−203*x−1789]) | ≈129.497883904 degrees |
| Medium Edge Angle: | acos(-root[27*(x^5)+63*(x^4)
+426*(x^3)−382*(x^2)−5*x−1]) | ≈142.306571894 degrees |
| Long Edge Angle: | acos(-root[27*(x^5)−63*(x^4)
−39*(x^3)+119*(x^2)+48*x−84]) | ≈151.196964524 degrees |
| Dual Solid: | Biscribed Propello Cube |
| (values below based on circumscribed radius = 1) |
| Short Edge (12): | sqrt(root[9*(x^5)−264*(x^4)+4372*(x^3)
−26152*(x^2)+51328*x−6272]) | ≈0.36153961557249314530 |
| Medium Edge (24): | sqrt(root[3*(x^5)−92*(x^3)
−72*(x^2)+1152*x−512]) | ≈0.682675645996630395651 |
| Long Edge (24): | sqrt(root[(x^5)−22*(x^4)+316*(x^3)
−1544*(x^2)+2688*x−1152]) | ≈0.79127680876159661802 |
| Circumscribed Radius: | 1 |
| Inscribed Radius: | sqrt(root[27*(x^5)+63*(x^4)
+426*(x^3)−382*(x^2)−5*x−1]) | ≈0.88954689063516369786 |
| Volume: | root[243*(x^5)−31752*(x^4)+1076976*(x^3)
−2511936*(x^2)−2061312*x−888832] | ≈3.3010959674915030383 |