Truncated Archimedean Solids

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Canonical Truncated Truncated Octahedron
canonical form
Vertices:  72  (48[3] + 24[3])
Faces:38  (8 tri-symmetric dodecagons
    + 6 regular octagons + 24 isosceles triangles)
Edges:108  (48 short + 48 medium + 12 long)
Symmetry:  Full Octahedral  (Oh)
(values below based on edge-scribed radius = 1)
Short Edge (48):  2*(sqrt(2)−1)/3    ≈0.27614237491539669920
Medium Edge (48):  (8−5*sqrt(2))/3    ≈0.30964406271150825200
Long Edge (12):  6−4*sqrt(2)    ≈0.34314575050761980479
Edge-scribed Radius:  1
Volume:16*(16*sqrt(2)−17)/27    ≈3.3347656284263826849