| Vertices: | 60 (60[5]) |
| Faces: | 84 (60 equilateral triangles + 12 regular pentagons
+ 12 regular pentagrams) |
| Edges: | 150 |
| Symmetry: | Chiral Icosahedral (I) |
| Pentagon-Triangle Angle: | acos(sqrt(root[4100625*(x^8)−32805000*(x^7)
+95863500*(x^6)−119799000*(x^5)
+68311350*(x^4)−20763000*(x^3)
+7189740*(x^2)−2234280*x+201601])) | ≈68.640878254 degrees |
| Triangle-Triangle Angle: | acos(−sqrt(root[6561*(x^4)−20412*(x^3)
+30942*(x^2)−20556*x+4489])) | ≈130.490738467 degrees |
| Pentagram-Triangle Angle: | acos(sqrt(root[4100625*(x^8)−32805000*(x^7)
+95863500*(x^6)−119799000*(x^5)
+68311350*(x^4)−20763000*(x^3)
+7189740*(x^2)−2234280*x+201601])) | ≈11.124480107 degrees |
| Dual Solid: | Medial Inverted Pentagonal Hexecontahedron |
| (values below based on edge length = 1) |
| Circumscribed Radius: | sqrt(root[64*(x^4)−192*(x^3)
+180*(x^2)−65*x+8]) | ≈0.851630228117412395153 |
| Midscribed Radius: | sqrt(root[256*(x^4)−512*(x^3)
+240*(x^2)−28*x+1]) | ≈0.68940122239760778779 |
| Pentagon Center Radius: | sqrt(root[2560000*(x^8)−5120000*(x^7)
+1088000*(x^6)+1968000*(x^5)
−407600*(x^4)−195400*(x^3)
+21445*(x^2)−635*x+1]) | ≈0.040831944520643442918 |
| Triangle Center Radius: | sqrt(root[5184*(x^4)−8640*(x^3)
+2484*(x^2)+39*x+1]) | ≈0.62605168485515837671 |
| Pentagram Center Radius: | −sqrt(root[2560000*(x^8)−5120000*(x^7)
+1088000*(x^6)+1968000*(x^5)
−407600*(x^4)−195400*(x^3)
+21445*(x^2)−635*x+1]) | ≈−0.66998570372306814123 |