| Vertices: | 104 (80[3] + 12[5] + 12[5]) |
| Faces: | 60 (irregular hexagons) |
| Edges: | 180 (60 short + 60 medium + 60 long) |
| Symmetry: | Chiral Icosahedral (I) |
| Dihedral Angle: | acos(−(cbrt(4*(371+33*sqrt(69)))
+cbrt(4*(371−33*sqrt(69)))−1)/33) | ≈127.320132198 degrees |
| Dual Solid: | Snub Icosidodecadodecahedron |
| (values below based on unit-edge-length Snub Icosidodecadodecahedron) |
| Short Edge (60): | sqrt(root[9025*(x^6)−20595*(x^5)+12234*(x^4)
−3248*(x^3)+455*(x^2)−61*x+1]) | ≈0.13664066921890200010 |
| Medium Edge (60): | sqrt(30*(16−cbrt(4*(101+15*sqrt(69)))
+cbrt(4*(15*sqrt(69)−101))))/30 | ≈0.60248860980957316449 |
| Long Edge (60): | sqrt(root[9025*(x^6)−20595*(x^5)+12234*(x^4)
−3248*(x^3)+455*(x^2)−61*x+1]) | ≈1.2415629839005475092 |
| [5]-Vertex Radius (12): | sqrt(root[1478656*(x^6)−4720640*(x^5)
+4015360*(x^4)−752000*(x^3)
+24800*(x^2)+2000*x+125]) | ≈1.0232268872316985362 |
| [3]-Vertex Radius (80): | sqrt(10*(22+cbrt(4*(367+15*sqrt(69)))
+cbrt(4*(367−15*sqrt(69)))))/20 | ≈1.0538724007727063168 |
| [5]-Vertex Radius (12): | sqrt(root[1478656*(x^6)−4720640*(x^5)
+4015360*(x^4)−752000*(x^3)
+24800*(x^2)+2000*x+125]) | ≈1.3798906202816194874 |
| Edge-scribed Radius: | sqrt(6*(10+cbrt(4*(97+3*sqrt(69)))
+cbrt(4*(97−3*sqrt(69)))))/12 | ≈1.0099004435452336687 |
| Inscribed Radius: | sqrt(66*(78+cbrt(12*(27765+539*sqrt(69)))
+cbrt(12*(27765−539*sqrt(69)))))/132 | ≈0.90504995553570129361 |