| Vertices: | 92 (80[3] + 12[5]) |
| Faces: | 60 (mirror-symmetric pentagons) |
| Edges: | 150 (60 short + 90 long) |
| Symmetry: | Chiral Icosahedral (I) |
| Dihedral Angle: | acos(-root[209*(x^6)+94*(x^5)−137*(x^4)
−100*(x^3)−9*(x^2)+6*x+1]) | ≈104.432268612 degrees |
| Dual Solid: | Great Snub Icosidodecahedron |
| (values below based on unit-edge-length Great Snub Icosidodecahedron) |
| Short Edge (60): | root[31*(x^6)+53*(x^5)−26*(x^4)
−34*(x^3)+17*(x^2)+x−1] | ≈0.49068710841743979751 |
| Long Edge (90): | root[(x^6)+2*(x^5)−4*(x^4)−(x^3)+4*(x^2)−1] | ≈0.64562896687901364334 |
| [5]-Vertex Radius (12): | sqrt(root[3936256*(x^6)−22266880*(x^5)
+14680320*(x^4)−2723200*(x^3)
+97200*(x^2)+6000*x+125]) | ≈0.66645996578855361747 |
| [3]-Vertex Radius (80): | sqrt(root[4096*(x^6)−33792*(x^5)+85248*(x^4)
−79488*(x^3)+34992*(x^2)−7776*x+729]) | ≈0.721246738987576952348 |
| Edge-scribed Radius: | sqrt(root[4096*(x^6)−21504*(x^5)+16384*(x^4)
−4672*(x^3)+624*(x^2)−40*x+1]) | ≈0.64497105964678626948 |
| Inscribed Radius: | sqrt(root[856064*(x^6)−3900416*(x^5)
+1443072*(x^4)−149376*(x^3)
+6384*(x^2)−128*x+1]) | ≈0.50973841266843509090 |