| Vertices: | 24 (24[4]) |
| Faces: | 20 (8 equilateral triangles + 6 squares
+ 6 regular octagrams) |
| Edges: | 48 |
| Symmetry: | Full Octahedral (Oh) |
| Octagram-Square Angle: | acos(0) | 90 degrees |
| Octagram-Triangle Angle: | acos(sqrt(3)/3) | ≈125.264389683 degrees |
| Dual Solid: | Great Hexacronic 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 |
| Octagram Center Radius: | 1/2 | 0.5 |
|