Geodesic Icosahedra

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Geodesic Icosahedron Pattern 5 [2,2]
(Hexakis-Pentakis Chamfered Dodecahedron)
Vertices:  122  (12[5] + 20[6] + {30 + 60}[6])
Faces:240  ({60 * 2} isosceles triangles + {60 * 2} acute triangles)
Edges:360  (5 different lengths)
Symmetry:  Full Icosahedral  (Ih)
Dual Solid:  Dual Geodesic Icosahedron Pattern 5 [2,2]
(values below based on edge-scribed radius = 1)
Edge 1 (60):  root[6th-order polynomial]    ≈0.299015818857336657949
Edge 2 (60):  root[6th-order polynomial]    ≈0.34881656414014040542
Edge 3 (120):  root[6th-order polynomial]    ≈0.35825579297723232006
Edge 4 (60):  root[6th-order polynomial]    ≈0.35952709161339591764
Edge 5 (60):  root[6th-order polynomial]    ≈0.36896632045048783228
Edge-scribed Radius:  1
Volume:root[6th-order polynomial]    ≈4.1888850285454279167