| Vertices: | 26 (12[4] + 8[6] + 6[8]) |
| Faces: | 48 (obtuse triangles) |
| Edges: | 72 (24 short + 24 medium + 24 long) |
| Symmetry: | Full Octahedral (Oh) |
| Dihedral Angle 1 (48): | acos(−(71−12*sqrt(2))/97) | ≈123.848891579 degrees |
| Dihedral Angle 2 (24): | acos((71−12*sqrt(2))/97) | ≈236.151108421 degrees |
| Dual Solid: | Great Truncated Cuboctahedron |
| (values below based on unit-edge-length Great Truncated Cuboctahedron) |
| Short Edge (24): | 3*sqrt(6*(2−sqrt(2)))/7 | ≈0.803467836266869266454 |
| Medium Edge (24): | 2*sqrt(3*(10+sqrt(2)))/7 | ≈1.6719203351570846838 |
| Long Edge (24): | 2*sqrt(6*(10−sqrt(2)))/7 | ≈2.0506787054834752969 |
| [8]-Vertex Radius (6): | 3*(3*sqrt(2)−2)/7 | ≈0.96113172305112220560 |
| [4]-Vertex Radius (12): | 3*(4−sqrt(2))/7 | ≈1.1081941875543878362 |
| [6]-Vertex Radius (8): | sqrt(6) | ≈2.4494897427831780982 |
| Edge-scribed Radius: | sqrt(6*(2−sqrt(2)))/2 | ≈0.93737914231134747753 |
| Inscribed Radius: | 3*sqrt(194*(15−8*sqrt(2)))/97 | ≈0.82707562711755696721 |
| Volume: | 144*(sqrt(2)−1)/7 | ≈8.5209647116750981468 |