| Vertices: | 50 (8[3] + 6[4] + 12[4] + 24[4]) |
| Faces: | 48 ({24 * 2} tri-equiangular kites) |
| Edges: | 96 (24 short + 48 medium + 24 long) |
| Symmetry: | Full Octahedral (Oh) |
| (values below based on edge-scribed radius = 1) |
| Short Edge (24): | sqrt(root[576*(x^4)−12176*(x^3)
+57065*(x^2)−15296*x+1024]) | ≈0.40644910357261897543 |
| Medium Edge (48): | sqrt(root[(x^4)−54*(x^3)
+129*(x^2)−88*x+16]) | ≈0.53917692400575247373 |
| Long Edge (24): | sqrt(root[16*(x^4)−1608*(x^3)
+10073*(x^2)−4880*x+576]) | ≈0.57088359480145441227 |
| Edge-scribed Radius: | 1 |
| Volume: | sqrt(root[12*(x^4)−95132*(x^3)
+165179027*(x^2)
−52653101056*x
+819200000000]) | ≈4.0489004117868520143 |