Truncated Archimedean Solids

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Canonical Truncated Truncated Dodecahedron
Vertices:  180  (120[3] + 60[3])
Faces:92  (12 pent-symmetric 20-gons
    + 20 regular hexagons + 60 isosceles triangles)
Edges:270  (120 short + 120 medium + 30 long)
Symmetry:  Full Icosahedral  (Ih)
(values below based on edge-scribed radius = 1)
Short Edge (120):  (3*sqrt(5)−5)/15    ≈0.113880262166624605949
Medium Edge (120):  2*(33*sqrt(5)−50)/285    ≈0.16694907549117936829
Long Edge (30):  (5*sqrt(5)−7)/19    ≈0.22001788881573413063
Edge-scribed Radius:  1
Volume:2*(6965−2467*sqrt(5))/855    ≈3.3885854959251902198