Truncated Archimedean Solids

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Canonical Truncated Snub Cube (laevo)
Vertices:  120  (24[3] + 24[3] + 24[3] + 24[3] + 24[3])
Faces:62  (6 regular octagons + 8 regular hexagons
    + 24 irregular hexagons + 24 irregular pentagons)
Edges:180  (6 different lengths)
Symmetry:  Chiral Octahedral  (O)
(values below based on edge-scribed radius = 1)
Edge 1 (48):  sqrt(root[16th-order polynomial])    ≈0.26265915726401940393
Edge 2 (24):  sqrt(root[16th-order polynomial])    ≈0.26562288979155657968
Edge 3 (12):  sqrt(root[16th-order polynomial])    ≈0.26858662231909375542
Edge 4 (24):  sqrt(root[16th-order polynomial])    ≈0.28623862789239638198
Edge 5 (24):  sqrt(root[16th-order polynomial])    ≈0.28920236041993355773
Edge 6 (48):  sqrt(root[16th-order polynomial])    ≈0.30981809852077336003
Edge-scribed Radius:  1
Volume:root[16th-order polynomial]    ≈3.9846256646967634972