| Vertices: | 60 (60[3]) |
| Faces: | 32 (12 regular pentagrams + 20 regular hexagons) |
| Edges: | 90 |
| Symmetry: | Full Icosahedral (Ih) |
| Hexagon-Hexagon Angle: | acos(sqrt(5)/3) | ≈41.810314896 degrees |
| Hexagon-Pentagram Angle: | acos(−sqrt(15*(5−2*sqrt(5)))/15) | ≈100.812316964 degrees |
| Dual Solid: | Great Stellapentakis Dodecahedron |
| (values below based on edge length = 1) |
| Circumscribed Radius: | sqrt(2*(29−9*sqrt(5)))/4 | ≈1.0532917569755953386 |
| Midscribed Radius: | 3*(sqrt(5)−1)/4 | ≈0.92705098312484227231 |
| Hexagon Center Radius: | (3*sqrt(3)−sqrt(15))/4 | ≈0.330792269124803748851 |
| Pentagram Center Radius: | sqrt(10*(125−41*sqrt(5)))/20 | ≈0.91270494852537945532 |
| References: | [1] | Johann Pitsch, Über Halbreguläre Sternpolyeder,
Zeitschrift für das Realschulwesen 6 (1881), 9-24, 64-65, 72-89, 216. |
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