Truncated Archimedean Solids

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Canonical Truncated Rhombicuboctahedron
canonical form
Vertices:  96  (48[3] + 48[3])
Faces:50  (6 regular octagons + 12 bi-mirror-symmetric octagons
    + 8 regular hexagons + 24 isosceles trapezoids)
Edges:144  (48 short + 48 medium + 48 long)
Symmetry:  Full Octahedral  (Oh)
(values below based on edge-scribed radius = 1)
Short Edge (48):  sqrt(20−5*sqrt(2)    
    −sqrt(2*(117−46*sqrt(2))))/6    
≈0.27568966006489138512
Medium Edge (48):  sqrt(2*(109−61*sqrt(2)    
    −sqrt(13983−9704*sqrt(2))))/12    
≈0.30333449651985873930
Long Edge (48):  sqrt(3*(50−33*sqrt(2)    
    −sqrt(2*(2327−1644*sqrt(2)))))/6    
≈0.33097933297482609348
Edge-scribed Radius:  1
Volume:sqrt(2*(6892−4021*sqrt(2)    
    +7*sqrt(2*(340965    
    −230614*sqrt(2)))))/18    
≈3.8577270087113254860