Geodesic Icosahedra

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Geodesic Icosahedron Pattern 6 [3,1]
Vertices:  132  (12[5] + 60[6] + 60[6])
Faces:260  (20 equilateral triangles
    + {120 + 60 * 2} isosceles triangles)
Edges:390  (4 different lengths)
Symmetry:  Chiral Icosahedral  (I)
Dual Solid:  Dual Geodesic Icosahedron Pattern 6 [3,1]
(values below based on edge-scribed radius = 1)
Edge 1 (60):  sqrt(root[16th-order polynomial])    ≈0.28499414496626744994
Edge 2 (60):  sqrt(root[16th-order polynomial])    ≈0.33269724437242471248
Edge 3 (180):  sqrt(root[16th-order polynomial])    ≈0.34313106425200872169
Edge 4 (90):  sqrt(root[16th-order polynomial])    ≈0.35356488413159273091
Edge-scribed Radius:  1
Volume:root[16th-order polynomial]    ≈4.1888753515746333693