| Vertices: | 56 (8[3] + 24[4] + 24[4]) |
| Faces: | 54 (6 squares + 24 isosceles trapezoids + 24 kites) |
| Edges: | 108 (4 different lengths) |
| Symmetry: | Full Octahedral (Oh) |
| (values below based on edge-scribed radius = 1) |
| Edge 1 (24): | sqrt(root[137288*(x^4)−3052860*(x^3)
+11742982*(x^2)−2439109*x+118098]) | ≈0.37711709482093791581 |
| Edge 2 (12): | sqrt(root[(x^4)−82*(x^3)
+528*(x^2)−384*x+64]) | ≈0.49796048549336340816 |
| Edge 3 (48): | sqrt(root[6728*(x^4)−164988*(x^3)
+566838*(x^2)−586845*x+118098]) | ≈0.51282376974473566890 |
| Edge 4 (24): | sqrt(root[841*(x^4)−3208*(x^3)
+1656*(x^2)−288*x+16]) | ≈0.52768705399610792963 |
| Edge-scribed Radius: | 1 |
| Volume: | sqrt(root[10207763011681*(x^4)
−21990857255222048*(x^3)
+12098759338570264448*(x^2)
−1794252345306554615808*x
+26441159791106337181696]) | ≈4.0647941303304973643 |