| Vertices: | 54 (24[3] + 24[3] + 6[4]) |
| Faces: | 32 (24 mirror-symmetric pentagons + 8 regular hexagons) |
| Edges: | 84 (60 short + 24 long) |
| Symmetry: | Full Octahedral (Oh) |
| (values below based on short edge length = 1) |
| Short Edge (60): | 1 |
| Long Edge (24): | (3+sqrt(6))/4 | ≈1.362372435695794524549 |
| Max Vertex Radius: | 3*(1+sqrt(6))/4 | ≈2.5871173070873835736 |
| Edge-scribed Radius: | (sqrt(2)+2*sqrt(3))/2 | ≈2.4391575887554248179 |
| Volume: | (57+23*sqrt(6))/2 | ≈56.669132042006548129 |
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