| Vertices: | 60 (60[5]) |
| Faces: | 92 (80 equilateral triangles + 12 regular pentagons) |
| Edges: | 150 |
| Symmetry: | Chiral Icosahedral (I) |
| Pentagon-Triangle Angle: | acos(−sqrt(15*(4*((1/x)−x)*(1+3*phi)
+(19+12*phi)))/15) | ≈152.929920276 degrees |
| Triangle-Triangle Angle: | acos(−(2*(x^2)−3)/3) | ≈164.175366056 degrees |
|
| where: | phi = (1+sqrt(5))/2 |
| x = cbrt((phi+sqrt(phi−5/27))/2)+cbrt((phi−sqrt(phi−5/27))/2) |
|
| Dual Solid: | Pentagonal Hexecontahedron |
| (values below based on midscribed radius = 1) |
| Edge Length: | 2*sqrt(3−(x^2)) | ≈0.47685947932747728014 |
| Circumscribed Radius: | sqrt(4−(x^2)) | ≈1.0280314882123592730 |
| Midscribed Radius: | 1 |
| Pentagon Center Radius: | sqrt(5*((x^2)*(3+4*phi)−4−12*phi))/5 | ≈0.94461854721231500757 |
| Triangle Center Radius: | x*sqrt(3)/3 | ≈0.99047989366163339889 |
| Volume: | 4*(12*(x^2)*(1+3*phi)
−x*(7+36*phi)−(6+53*phi))/3 | ≈4.0789781280708157021 |