| Vertices: | 60 (60[3]) |
| Faces: | 32 (12 regular pentagons + 20 regular hexagons) |
| Edges: | 90 |
| Symmetry: | Full Icosahedral (Ih) |
| Hexagon-Hexagon Angle: | acos(−sqrt(5)/3) | ≈138.189685104 degrees |
| Hexagon-Pentagon Angle: | acos(−sqrt(15*(5+2*sqrt(5)))/15) | ≈142.622631859 degrees |
| Dual Solid: | Pentakis Dodecahedron |
| (values below based on edge length = 1) |
| Circumscribed Radius: | sqrt(2*(29+9*sqrt(5)))/4 | ≈2.4780186590676155376 |
| Midscribed Radius: | 3*(1+sqrt(5))/4 | ≈2.4270509831248422723 |
| Hexagon Center Radius: | (3*sqrt(3)+sqrt(15))/4 | ≈2.2672839422285121914 |
| Pentagon Center Radius: | sqrt(10*(125+41*sqrt(5)))/20 | ≈2.3274384367663271103 |
| Volume: | (125+43*sqrt(5))/4 | ≈55.287730758122739236 |
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