| Vertices: | 24 (24[4]) |
| Faces: | 26 (8 equilateral triangles + 18 squares) |
| Edges: | 48 |
| Symmetry: | Full Octahedral (Oh) |
| Square-Square Angle: | acos(−sqrt(2)/2) | 135 degrees |
| Square-Triangle Angle: | acos(−sqrt(6)/3) | ≈144.735610317 degrees |
| Dual Solid: | Deltoidal Icositetrahedron |
| (values below based on edge length = 1) |
| Circumscribed Radius: | sqrt(5+2*sqrt(2))/2 | ≈1.3989663259659067020 |
| Midscribed Radius: | sqrt(2*(2+sqrt(2)))/2 | ≈1.3065629648763765279 |
| Square Center Radius: | (1+sqrt(2))/2 | ≈1.2071067811865475244 |
| Triangle Center Radius: | (3*sqrt(3)+sqrt(6))/6 | ≈1.2742736942483016631 |
| Volume: | 2*(6+5*sqrt(2))/3 | ≈8.7140452079103168293 |
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