| Vertices: | 20 (20[6]) |
| Faces: | 32 (20 equilateral triangles + 12 regular pentagrams) |
| Edges: | 60 |
| Symmetry: | Full Icosahedral (Ih) |
| Dihedral Angle: | acos(−sqrt(15*(5+2*sqrt(5)))/15) | ≈142.622631859 degrees |
| Dual Solid: | Small Triambic Icosahedron |
| (values below based on edge length = 1) |
| Circumscribed Radius: | sqrt(3)/2 | ≈0.86602540378443864676 |
| Midscribed Radius: | sqrt(2)/2 | ≈0.70710678118654752440 |
| Triangle Center Radius: | sqrt(15)/6 | ≈0.64549722436790281420 |
| Pentagram Center Radius: | sqrt(5*(5+2*sqrt(5)))/10 | ≈0.68819096023558676910 |
| 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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