Archimedean Solids

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(Uniform #24) Icosidodecahedron
Vertices:  30  (30[4])
Faces:32  (20 equilateral triangles + 12 regular pentagons)
Edges:60
Symmetry:  Full Icosahedral  (Ih)
Dihedral Angle:  acos(−sqrt(15*(5+2*sqrt(5)))/15)    ≈142.622631859 degrees
Dual Solid:  Rhombic Triacontahedron
(values below based on edge length = 1)
Circumscribed Radius:  (1+sqrt(5))/2    ≈1.6180339887498948482
Midscribed Radius:  sqrt(5+2*sqrt(5))/2    ≈1.5388417685876267013
Pentagon Center Radius:  sqrt(5*(5+2*sqrt(5)))/5    ≈1.3763819204711735382
Triangle Center Radius:  (3*sqrt(3)+sqrt(15))/6    ≈1.5115226281523414610
Volume:(45+17*sqrt(5))/6    ≈13.835525936249404140