| Vertices: | 296 (8[3] + {24 * 3}[4] + {24 * 3}[4] + {24 * 6}[4]) |
| Faces: | 294 (6 squares + {24 * 3} kites
+ {24 * 3} isosceles trapezoids
+ {24 * 6} irregular tetragons) |
| Edges: | 588 (16 different lengths) |
| Symmetry: | Full Octahedral (Oh) |
| (values below based on edge-scribed radius = 1) |
| Edge 1 (24): | ≈0.12181490293156374624 |
| Edge 2 (48): | ≈0.16995926299191107652 |
| Edge 3 (24): | ≈0.18049026940401073079 |
| Edge 4 (48): | ≈0.19107847167671322709 |
| Edge 5 (48): | ≈0.20160947808881288136 |
| Edge 6 (24): | ≈0.20719238435015005272 |
| Edge 7 (48): | ≈0.210655877918610273447 |
| Edge 8 (48): | ≈0.21165723629266341211 |
| Edge 9 (12): | ≈0.21567902403423508160 |
| Edge 10 (48): | ≈0.21724014255400058347 |
| Edge 11 (24): | ≈0.21880126107376608534 |
| Edge 12 (48): | ≈0.22129542778641287496 |
| Edge 13 (48): | ≈0.22229678616046601363 |
| Edge 14 (24): | ≈0.22579231124716594192 |
| Edge 15 (48): | ≈0.22857894974174494260 |
| Edge 16 (24): | ≈0.23136558823632394328 |
| Edge-scribed Radius: | 1 |
| Volume: | ≈4.1655059300757386889 |