Truncated Archimedean Solids

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Canonical Truncated Truncated Icosidodecahedron
canonical form
Vertices:  360  (120[3] + 120[3] + 120[3])
Faces:182  (12 pent-symmetric 20-gons + 20 tri-symmetric dodecagons
    + 30 bi-mirror-symmetric octagons + {60 * 2} acute triangles)
Edges:540  (6 different lengths)
Symmetry:  Full Icosahedral  (Ih)
(values below based on edge-scribed radius = 1)
Edge 1 (60):  (70−30*sqrt(5)    
    −2*sqrt(30*(85−38*sqrt(5))))/10    
≈0.10391252375719966148
Edge 2 (120):  (570−225*sqrt(5)−2*sqrt(30*(5525    
    −2462*sqrt(5))))/165    
≈0.10993750060369274382
Edge 3 (60):  (9*sqrt(5)−3    
    −sqrt(6*(25+2*sqrt(5))))/33    
≈0.11596247745018582616
Edge 4 (120):  (315−155*sqrt(5)+2*sqrt(15*(4325    
    −1919*sqrt(5))))/110    
≈0.12332931419372689487
Edge 5 (120):  (15*sqrt(5)−45    
    +2*sqrt(3*(125−41*sqrt(5))))/66    
≈0.12935429104021997721
Edge 6 (60):  (2*sqrt(5)−14    
    +sqrt(6*(25−2*sqrt(5))))/11    
≈0.14274610463025412826
Edge-scribed Radius:  1
Volume:(5208*sqrt(5)+2*sqrt(6*(13712665    
    −6128938*sqrt(5)))−11700)/99    
≈3.8591548611990857261