Truncated Archimedean Solids

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Canonical Truncated Truncated Tetrahedron
Vertices:  36  (24[3] + 12[3])
Faces:20  (4 tri-symmetric dodecagons
    + 4 regular hexagons + 12 isosceles triangles)
Edges:54  (24 short + 24 medium + 6 long)
Symmetry:  Full Tetrahedral  (Td)
(values below based on edge-scribed radius = 1)
Short Edge (24):  2*sqrt(2)/9    ≈0.31426968052735445529
Medium Edge (24):  14*sqrt(2)/45    ≈0.43997755273829623740
Long Edge (6):  2*sqrt(2)/5    ≈0.56568542494923801952
Edge-scribed Radius:  1
Volume:2728/1215    ≈2.2452674897119341564