Rectified Archimedean Solids

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Rectified Truncated Icosahedron with equal edges
equal-edge form
Vertices:  90  (60[4] + 30[4])
Faces:92  (20 triambi + 12 regular pentagons + 60 equilateral triangles)
Edges:180  (all same length)
Symmetry:  Full Icosahedral  (Ih)
(values below based on edge length = 1)
Volume:(180+33*sqrt(5)    
    +5*sqrt(983+978*sqrt(5)))/6    
≈89.216405842727318563


References:[1]Polyederfamilie um archimedische Polyeder (Tadeusz E. Dorozinski)