| Vertices: | 24 (24[4]) |
| Faces: | 18 (12 squares + 6 regular octagrams) |
| Edges: | 48 |
| Symmetry: | Full Octahedral (Oh) |
| Dihedral Angle 1 (24): | acos(sqrt(2)/2) | 45 degrees |
| Dihedral Angle 2 (24): | acos(0) | 90 degrees |
| Dual Solid: | Great Rhombihexacron |
| (values below based on edge length = 1) |
| Circumscribed Radius: | sqrt(5−2*sqrt(2))/2 | ≈0.73681287910395029658 |
| Midscribed Radius: | sqrt(2*(2−sqrt(2)))/2 | ≈0.54119610014619698440 |
| Square Center Radius: | (sqrt(2)−1)/2 | ≈0.20710678118654752440 |
| Octagram Center Radius: | 1/2 | 0.5 |
| References: | [1] | Jean Paul Albert Badoureau, Mémoire sur les Figures Isocèles,
Journal de l'École polytechnique 49 (1881), 47-172. |
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