| 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 (laevo) |
| (values below based on edge length = 1) |
| Circumscribed Radius: | phi*sqrt(x*(x+phi)+(3−phi))/2 | ≈2.1558373751156397018 |
| Midscribed Radius: | phi*sqrt(x*(x+phi)+1)/2 | ≈2.0970538352520879924 |
| Pentagon Center Radius: | sqrt(20*(5*(x+(1/x))*(1+2*phi)
+(12+11*phi)))/20 | ≈1.9809159472818407390 |
| Triangle Center Radius: | x*phi*sqrt(3*(x*(x+phi)+1))/6 | ≈2.0770896597432085994 |
| Volume: | sqrt(5*(3*(x^2)*(157+201*phi)
+21*x*(31+58*phi)+209*(2+3*phi)))/6 | ≈37.616649962733362976 |