| Vertices: | 144 (48[3] + 48[3] + 48[3]) |
| Faces: | 74 (6 quad-symmetric hexadecagons + 8 tri-symmetric dodecagons
+ 12 bi-mirror-symmetric octagons + {24 * 2} acute triangles) |
| Edges: | 216 (6 different lengths) |
| Symmetry: | Full Octahedral (Oh) |
| (values below based on edge-scribed radius = 1) |
| Edge 1 (24): | (4*sqrt(2)−2
−sqrt(3*(26−17*sqrt(2))))/7 | ≈0.17614171091276534731 |
| Edge 2 (48): | (6+15*sqrt(2)
−sqrt(6*(130−47*sqrt(2))))/42 | ≈0.18307310194541516296 |
| Edge 3 (24): | (12+3*sqrt(2)
−sqrt(3*(26+17*sqrt(2))))/21 | ≈0.19000449297806497862 |
| Edge 4 (48): | (sqrt(3*(10+sqrt(2)))
−3−sqrt(2))/7 | ≈0.20535823009667162064 |
| Edge 5 (48): | (sqrt(6*(82+49*sqrt(2)))
−15*sqrt(2))/42 | ≈0.21228962112932143629 |
| Edge 6 (24): | (sqrt(3*(34+23*sqrt(2)))
−4−6*sqrt(2))/7 | ≈0.23457474928057789396 |
| Edge-scribed Radius: | 1 |
| Volume: | (2*sqrt(6*(3898+889*sqrt(2)))
−108−12*sqrt(2))/63 | ≈3.59961941227155358049 |