Rectified Archimedean Solids
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Rectified Rhombicosidodecahedron
derived form
Vertices:
120 (60[4] + 60[4])
Faces:
122 (12 regular pentagons + 30 squares
+ 60 isosceles trapezoids + 20 equilateral triangles)
Edges:
240 (60 short + 120 medium + 60 long)
Symmetry:
Full Icosahedral (Ih)
(values below based on short edge length = 1)
Short Edge (60):
1
Medium Edge (120):
sqrt(2)
≈1.4142135623730950488
Long Edge (60):
(1+sqrt(5))/2
≈1.6180339887498948482
Circumscribed Radius:
sqrt(2*(5+2*sqrt(5)))
≈4.3525017989656430222
Volume:
(945+449*sqrt(5))/6
≈324.83242031623426228