Chamfered Solids

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Chamfered Truncated Icosahedron
(canonical)
Vertices:  240  (60[3] + 60[3] + 120[3])
Faces:122  (12 regular pentagons + 20 regular hexagons
    + 30 type-1 hexagons + 60 type-2 hexagons)
Edges:360  (4 different lengths)
Symmetry:  Full Icosahedral  (Ih)
(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
Max Vertex Radius:  sqrt(root[6th-order polynomial])    ≈1.0055070896251498711
Edge-scribed Radius:  1
Volume:root[6th-order polynomial]    ≈4.1039520770903296793