| Vertices: | 120 (120[3]) |
| Faces: | 44 (20 regular hexagons + 12 regular decagons + 12 regular decagrams) |
| Edges: | 180 |
| Symmetry: | Full Icosahedral (Ih) |
| Decagon-Hexagon Angle: | acos(−sqrt(15*(5−2*sqrt(5)))/15) | ≈100.812316964 degrees |
| Decagon-Decagram Angle: | acos(−sqrt(5)/5) | ≈116.565051177 degrees |
| Decagram-Hexagon Angle: | acos(−sqrt(15*(5+2*sqrt(5)))/15) | ≈142.622631859 degrees |
| Dual Solid: | Tridyakis Icosahedron |
| (values below based on edge length = 1) |
| Circumscribed Radius: | 2 |
| Midscribed Radius: | sqrt(15)/2 | ≈1.9364916731037084426 |
| Decagon Center Radius: | sqrt(2*(5−sqrt(5)))/2 | ≈1.1755705045849462583 |
| Hexagon Center Radius: | sqrt(3) | ≈1.73205080756887729353 |
| Decagram Center Radius: | sqrt(2*(5+sqrt(5)))/2 | ≈1.9021130325903071442 |
| 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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