| Vertices: | 24 (24[3]) |
| Faces: | 14 (8 equilateral triangles + 6 regular octagrams) |
| Edges: | 36 |
| Symmetry: | Full Octahedral (Oh) |
| Octagram-Triangle Angle: | acos(sqrt(3)/3) | ≈54.735610317 degrees |
| Octagram-Octagram Angle: | acos(0) | 90 degrees |
| Dual Solid: | Great Triakis Octahedron |
| (values below based on edge length = 1) |
| Circumscribed Radius: | sqrt(7−4*sqrt(2))/2 | ≈0.57947082551833871527 |
| Midscribed Radius: | (2−sqrt(2))/2 | ≈0.29289321881345247560 |
| Triangle Center Radius: | (3*sqrt(3)−2*sqrt(6))/6 | ≈0.049528822856712614031 |
| Octagram Center Radius: | (sqrt(2)−1)/2 | ≈0.20710678118654752440 |
| References: | [1] | Jean Paul Albert Badoureau, Mémoire sur les Figures Isocèles,
Journal de l'École polytechnique 49 (1881), 47-172. |
| [2] | Johann Pitsch, Über Halbreguläre Sternpolyeder,
Zeitschrift für das Realschulwesen 6 (1881), 9-24, 64-65, 72-89, 216. |
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