| Vertices: | 60 (60[3]) |
| Faces: | 32 (12 regular pentagons + 20 ditrigons) |
| Edges: | 90 (30 short + 60 long) |
| Symmetry: | Full Icosahedral (Ih) |
| Short Edge Angle: | acos(−sqrt(5)/3) | ≈138.189685104 degrees |
| Long Edge Angle: | acos(−sqrt(15*(5+2*sqrt(5)))/15) | ≈142.622631859 degrees |
| Dual Solid: | Biscribed Pentakis Dodecahedron |
| (values below based on inscribed radius = 1) |
| Short Edge (30): | sqrt(2*(5+sqrt(5)))−2*sqrt(3) | ≈0.34012445004285970141 |
| Long Edge (60): | (5*sqrt(3)−sqrt(15)−sqrt(2*(5+sqrt(5))))/2 | ≈0.49152231322817764700 |
| Circumscribed Radius: | sqrt(10−sqrt(5)−sqrt(6*(5+sqrt(5)))) | ≈1.0838907666963285358 |
| Inscribed Radius: | 1 |
| Volume: | 10*(sqrt(2*(145−19*sqrt(5)))−8*sqrt(3)) | ≈4.6244184701226806076 |