| Vertices: | 60 (60[3]) |
| Faces: | 24 (12 regular pentagrams + 12 regular decagons) |
| Edges: | 90 |
| Symmetry: | Full Icosahedral (Ih) |
| Decagon-Decagon Angle: | acos(sqrt(5)/5) | ≈63.434948823 degrees |
| Decagon-Pentagram Angle: | acos(−sqrt(5)/5) | ≈116.565051177 degrees |
| Dual Solid: | Small Stellapentakis Dodecahedron |
| (values below based on edge length = 1) |
| Circumscribed Radius: | sqrt(2*(17+5*sqrt(5)))/4 | ≈1.8768437563999216822 |
| Midscribed Radius: | (5+sqrt(5))/4 | ≈1.8090169943749474241 |
| Decagon Center Radius: | sqrt(2*(5+sqrt(5)))/4 | ≈0.95105651629515357212 |
| Pentagram Center Radius: | sqrt(10*(65+29*sqrt(5)))/20 | ≈1.8017073246471935043 |
| References: | [1] | Johann Pitsch, Über Halbreguläre Sternpolyeder,
Zeitschrift für das Realschulwesen 6 (1881), 9-24, 64-65, 72-89, 216. |
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