| Vertices: | 24 (24[4]) |
| Faces: | 20 (8 equilateral triangles + 6 squares
+ 6 regular octagons) |
| Edges: | 48 |
| Symmetry: | Full Octahedral (Oh) |
| Octagon-Square Angle: | acos(0) | 90 degrees |
| Octagon-Triangle Angle: | acos(sqrt(3)/3) | ≈305.264389683 degrees |
| Dual Solid: | Small Hexacronic 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 |
| Octagon Center Radius: | 1/2 | 0.5 |
| Square Center Radius: | (1+sqrt(2))/2 | ≈1.2071067811865475244 |
| Triangle Center Radius: | (3*sqrt(3)+sqrt(6))/6 | ≈1.2742736942483016631 |
| References: | [1] | Jean Paul Albert Badoureau, Mémoire sur les Figures Isocèles,
Journal de l'École polytechnique 49 (1881), 47-172. |
|