| Vertices: | 24 (24[3]) |
| Faces: | 14 (8 equilateral triangles + 6 regular octagons) |
| Edges: | 36 |
| Symmetry: | Full Octahedral (Oh) |
| Octagon-Octagon Angle: | acos(0) | 90 degrees |
| Octagon-Triangle Angle: | acos(−sqrt(3)/3) | ≈125.264389683 degrees |
| Dual Solid: | Triakis Octahedron |
| (values below based on edge length = 1) |
| Circumscribed Radius: | sqrt(7+4*sqrt(2))/2 | ≈1.7788236456639244509 |
| Midscribed Radius: | 1+sqrt(2)/2 | ≈1.7071067811865475244 |
| Octagon Center Radius: | (1+sqrt(2))/2 | ≈1.2071067811865475244 |
| Triangle Center Radius: | (3*sqrt(3)+2*sqrt(6))/6 | ≈1.682521984712164679496 |
| Volume: | 7*(3+2*sqrt(2))/3 | ≈13.599663291074443561 |
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