Geodesic Icosahedra Duals

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Dual Geodesic Icosahedron Pattern 5 [2,2]
(Truncated Pentakis Icosidodecahedron)
Vertices:  240  ({60 * 2}[3] + {60 * 2}[3])
Faces:122  (12 regular pentagons + 20 regular hexagons
    + 30 bi-mirror-symmetric hexagons
    + 60 mirror-symmetric hexagons)
Edges:360  (4 different lengths)
Symmetry:  Full Icosahedral  (Ih)
Dual Solid:  Geodesic Icosahedron Pattern 5 [2,2]
(values below based on edge-scribed radius = 1)
Edge 1 (60):  root[6th-order polynomial]    ≈0.17967580611400171109
Edge 2 (60):  root[6th-order polynomial]    ≈0.19284356784864999691
Edge 3 (120):  root[6th-order polynomial]    ≈0.20809851557817588866
Edge 4 (120):  root[6th-order polynomial]    ≈0.21018570157305349459
Edge-scribed Radius:  1
Volume:root[6th-order polynomial]    ≈4.1039520770903296793