| Vertices: | 30 (6[4] + 24[6]) |
| Faces: | 56 (32 equilateral triangles + 24 isosceles triangles) |
| Edges: | 84 (24 short + 60 long) |
| Symmetry: | Chiral Octahedral (O) |
| Dual Solid: | Hexpropello Cube (dextro) |
| (values below based on edge-scribed radius = 1) |
| Short Edge (24): | sqrt(22*(12−cbrt(309*sqrt(33)+1657)
−cbrt(309*sqrt(33)−1657)))/11 | ≈0.57552506487692747159 |
| Long Edge (60): | 2*sqrt(3*(5−cbrt(19+3*sqrt(33))
−cbrt(19−3*sqrt(33))))/3 | ≈0.801781129201327280647 |
| Edge-scribed Radius: | 1 |
| Volume: | 8*sqrt(33*(cbrt(40032357*sqrt(33)+189022517)
−cbrt(40032357*sqrt(33)−189022517)−322))/99 | ≈4.1937480738885933766 |