Rectified Archimedean Solids

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Rectified Truncated Tetrahedron
derived form
Vertices:  18  (12[4] + 6[4])
Faces:20  (4 regular hexagons + 4 equilateral triangles
    + 12 isosceles triangles)
Edges:36  (12 short + 24 long)
Symmetry:  Full Tetrahedral  (Td)
(values below based on short edge length = 1)
Short Edge (12):  1
Long Edge (24):  sqrt(3)    ≈1.73205080756887729353
Circumscribed Radius:  3*sqrt(2)/2    ≈2.1213203435596425732
Volume:43*sqrt(2)/3    ≈20.270394394014362366