Self-Intersecting Snub Quasi-Regular Polyhedra

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(Uniform #72) Small Retrosnub Icosicosidodecahedron
Vertices:  60  (60[6])
Faces:112  (100 equilateral triangles + 12 regular pentagrams)
Symmetry:  Full Icosahedral  (Ih)
Triangle-Triangle Angle:  acos(sqrt(3+2*sqrt(5))/3)    ≈24.331958571 degrees
Pentagram-Triangle Angle:  acos(sqrt(15*(15−2*sqrt(5)    
≈44.457531808 degrees
Dual Solid:  Small Hexagrammic Hexecontahedron
(values below based on edge length = 1)
Circumscribed Radius:  sqrt(13+3*sqrt(5)    
Midscribed Radius:  sqrt(9+3*sqrt(5)    
Triangle Center Radius:  sqrt(3*(23+9*sqrt(5)    
Pentagram Center Radius:  −sqrt(5*(25+23*sqrt(5)    

References:[1]H. S. M. Coxeter, M. S. Longuet-Higgins, and J. C. P. Miller,
Uniform Polyhedra, Philosophical Transactions of the Royal Society of London.
Series A. Mathematical and Physical Sciences
246 (1954), 401-450.