| Vertices: | 84 (60[3] + 12[5] + 12[5]) |
| Faces: | 60 (irregular pentagons) |
| Edges: | 150 (60 short + 30 medium + 60 long) |
| Symmetry: | Chiral Icosahedral (I) |
| Dihedral Angle: | acos(-root[16*(x^4)+(x^3)−9*(x^2)−x+1]) | ≈133.800984234 degrees |
| Dual Solid: | Snub Dodecadodecahedron |
| (values below based on unit-edge-length Snub Dodecadodecahedron) |
| Short Edge (60): | root[16*(x^8)+196*(x^7)+45*(x^6)
−191*(x^5)−181*(x^4)−16*(x^3)
+30*(x^2)+11*x+1] | ≈0.46189012402540752800 |
| Medium Edge (30): | root[2*(x^4)+3*(x^3)+2*(x^2)−x−1] | ≈0.59569462578185760919 |
| Long Edge (60): | root[16*(x^8)+196*(x^7)+45*(x^6)
−191*(x^5)−181*(x^4)−16*(x^3)
+30*(x^2)+11*x+1] | ≈1.1479469908925821918 |
| [5]-Vertex Radius (12): | sqrt(root[1048576*(x^8)−146472960*(x^7)
+602951680*(x^6)−786073600*(x^5)
+349600000*(x^4)−47312000*(x^3)
+1372000*(x^2)+60000*x+625]) | ≈1.18368368106263471949 |
| [3]-Vertex Radius (60): | sqrt(root[1024*(x^4)−2112*(x^3)
+1008*(x^2)−216*x+81]) | ≈1.2095081788584291087 |
| [5]-Vertex Radius (12): | sqrt(root[1048576*(x^8)−146472960*(x^7)
+602951680*(x^6)−786073600*(x^5)
+349600000*(x^4)−47312000*(x^3)
+1372000*(x^2)+60000*x+625]) | ≈1.4480561023204873283 |
| Edge-scribed Radius: | sqrt(root[256*(x^4)−512*(x^3)
+240*(x^2)−28*x+1]) | ≈1.1722614951149282268 |
| Inscribed Radius: | sqrt(root[8192*(x^4)−12352*(x^3)
+3376*(x^2)−104*x+1]) | ≈1.0782752739435134368 |