Truncated Catalan Solids

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Truncated Disdyakis Dodecahedron
(irregular hexagon sides: 1 short, 4 medium, 1 long)
version 2
Vertices:  144  (24[3] + 24[3] + 24[3] + 24[3] + 24[3] + 24[3])
Faces:74  (12 squares + 8 regular hexagons + 48 irregular hexagons + 6 regular octagons)
Edges:216  (24 short + 168 medium + 24 long)
Symmetry:  Full Octahedral  (Oh)
(values below based on medium edge length = 1)
Short Edge (24):  (−2+3*sqrt(2)+2*sqrt(3)    
    −sqrt(3*(22−13*sqrt(2)+12*sqrt(3)−8*sqrt(6))))/3    
≈0.63682057096651000602
Medium Edge (168):  1
Long Edge (24):  (−2+4*sqrt(2)+2*sqrt(3)−sqrt(6)    
    −sqrt(6*(10−5*sqrt(2)+4*sqrt(3)−4*sqrt(6))))/3    
≈1.3585327044181696899
Max Vertex Radius:  sqrt(6*(28+7*sqrt(2)+4*sqrt(3)+6*sqrt(6)    
    +4*sqrt(3*(8+2*sqrt(2)+2*sqrt(3)+3*sqrt(6)))))/6    
≈3.9105532237440182029
Volume:2*(792−63*sqrt(2)+54*sqrt(3)+198*sqrt(6)    
    +2*sqrt(3*(117340+9847*sqrt(2)    
    +9240*sqrt(3)+47049*sqrt(6))))/27    
≈226.39349069791957008