Truncated Catalan Solids

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5-Truncated Deltoidal Hexecontahedron
(canonical)
canonical form
Vertices:  110  (20[3] + 60[3] + 30[4])
Faces:72  (12 regular pentagons + 60 mirror-symmetric pentagons)
Edges:180  (60 short + 60 medium + 60 long)
Symmetry:  Full Icosahedral  (Ih)
(values below based on edge-scribed radius = 1)
Short Edge (60):  (24*sqrt(5)-66    
    +4*sqrt(565-239*sqrt(5)))/41    
≈0.23866382352302767009
Medium Edge (60):  (53*sqrt(5)-115    
    +2*sqrt(565-239*sqrt(5)))/41    
≈0.35539988926130353146
Long Edge (60):  (13*sqrt(5)-25)/11    ≈0.36989851886338782303
Volume:(5718108*sqrt(5)-12357180    
    +8*sqrt(10*(6614886442825    
    -2953326191098*sqrt(5))))/758131    
≈4.0732000463388408062