| Vertices: | 60 (60[6]) |
| Faces: | 112 (100 equilateral triangles + 12 regular pentagrams) |
| Edges: | 180 |
| Symmetry: | Full Icosahedral (Ih) |
| Triangle-Triangle Angle: | acos(−sqrt(3+2*sqrt(5))/3) | ≈155.668041429 degrees |
| Pentagram-Triangle Angle: | acos(−sqrt(15*(15−2*sqrt(5)
+2*sqrt(5*(6*sqrt(5)−13))))/15) | ≈161.022582986 degrees |
| Dual Solid: | Small Hexagonal Hexecontahedron |
| (values below based on edge length = 1) |
| Circumscribed Radius: | sqrt(13+3*sqrt(5)
+sqrt(2*(51+23*sqrt(5))))/4 | ≈1.4581903307387025510 |
| Midscribed Radius: | sqrt(9+3*sqrt(5)
+sqrt(2*(51+23*sqrt(5))))/4 | ≈1.36978795463379905346 |
| Triangle Center Radius: | sqrt(3*(23+9*sqrt(5)
+3*sqrt(2*(51+23*sqrt(5)))))/12 | ≈1.3390241623385716188 |
| Pentagram Center Radius: | sqrt(5*(25+23*sqrt(5)
+5*sqrt(2*(51+23*sqrt(5)))))/20 | ≈1.36011978825757318051 |