| Vertices: | 48 (48[3]) |
| Faces: | 26 (12 rectangles + 8 ditrigons + 6 ditetragons) |
| Edges: | 72 (24 short + 24 medium + 24 long) |
| Symmetry: | Full Octahedral (Oh) |
| Short Edge Angle: | acos(−sqrt(3)/3) | ≈125.264389683 degrees |
| Medium Edge Angle: | acos(−sqrt(2)/2) | 135 degrees |
| Long Edge Angle: | acos(−sqrt(6)/3) | ≈144.735610317 degrees |
| Dual Solid: | Biscribed Disdyakis Dodecahedron |
| (values below based on inscribed radius = 1) |
| Short Edge (24): | 4−sqrt(2)−sqrt(6) | ≈0.13629669484372685300 |
| Medium Edge (24): | 2*(sqrt(3)−sqrt(2)) | ≈0.635674490391564489452 |
| Long Edge (24): | 2*sqrt(2)−2 | ≈0.82842712474619009760 |
| Circumscribed Radius: | sqrt(9−2*sqrt(2)−2*sqrt(6)) | ≈1.12809281075958183149 |
| Inscribed Radius: | 1 |
| Volume: | 16*(sqrt(2)−5−2*sqrt(3)+3*sqrt(6)) | ≈4.7772988093579961014 |