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Dodecahedron-Icosahedron Compound (Actual)
actual compound
Vertices:  32  (20[3] + 12[5])
Faces:32  (20 equilateral triangles + 12 regular pentagons)
Edges:60  (30 short + 30 long)
Symmetry:  Full Icosahedral  (Ih)
(values below based on short edge length = 1)
Short Edge (30):  1
Long Edge (30):  (1+sqrt(5))/2    ≈1.6180339887498948482
[3]-Vertex Radius (20):  (sqrt(3)+sqrt(15))/4    ≈1.4012585384440735447
[5]-Vertex Radius (12):  sqrt(5+2*sqrt(5))/2    ≈1.5388417685876267013
Volume:5*(15+7*sqrt(5))/16    ≈9.5788987007807899609


References:[1]Dodecahedron-Icosahedron Compound (Wolfram MathWorld)