| Vertices: | 26 (12[4] + 8[6] + 6[8]) |
| Faces: | 48 (acute triangles) |
| Edges: | 72 (24 short + 24 medium + 24 long) |
| Symmetry: | Full Octahedral (Oh) |
| Short Edge Angle: | acos(−(539+600*sqrt(2)
+176*sqrt(3)−204*sqrt(6))/1633) | ≈136.916340788 degrees |
| Medium Edge Angle: | acos(−(343−212*sqrt(2)
+112*sqrt(3)+464*sqrt(6))/1633) | ≈147.270951511 degrees |
| Long Edge Angle: | acos(−(149+384*sqrt(2)
−18*sqrt(3)+392*sqrt(6))/1633) | ≈173.073280013 degrees |
| Dual Solid: | Biscribed Truncated Cuboctahedron |
| (values below based on circumscribed radius = 1) |
| Short Edge (24): | sqrt(6*(3−sqrt(6)))/3 | ≈0.60581089305537246549 |
| Medium Edge (24): | sqrt(2−sqrt(2)) | ≈0.76536686473017954346 |
| Long Edge (24): | sqrt(6*(3−sqrt(3)))/3 | ≈0.91940168676196612196 |
| Circumscribed Radius: | 1 |
| Inscribed Radius: | 1/sqrt(9−2*sqrt(2)−2*sqrt(6)) | ≈0.88645188628289125669 |
| Volume: | 4*sqrt(6)/3 | ≈3.2659863237109041309 |