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