| Vertices: | 24 (24[4]) |
| Faces: | 26 (8 equilateral triangles + 18 squares) |
| Edges: | 48 |
| Symmetry: | Full Octahedral (Oh) |
| Square-Square Angle: | acos(sqrt(2)/2) | 45 degrees |
| Square-Triangle Angle: | acos(sqrt(6)/3) | ≈324.735610317 degrees |
| Dual Solid: | Great Deltoidal Icositetrahedron |
| (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 |
| Triangle Center Radius: | (3*sqrt(3)-sqrt(6))/6 | ≈0.45777711332057563040 |
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