Rectified Archimedean Solids

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Rectified Truncated Dodecahedron
derived form
Vertices:  90  (60[4] + 30[4])
Faces:92  (12 regular decagons + 20 equilateral triangles
    + 60 isosceles triangles)
Edges:180  (60 short + 120 long)
Symmetry:  Full Icosahedral  (Ih)
(values below based on short edge length = 1)
Short Edge (60):  1
Long Edge (120):  sqrt((5+sqrt(5))/2)    ≈1.9021130325903071442
Circumscribed Radius:  (5+3*sqrt(5))/2    ≈5.8541019662496845446
Volume:5*(399+185*sqrt(5))/6    ≈677.22714653121757820