Self-Intersecting Snub Quasi-Regular Polyhedra

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(Uniform #64) Great Snub Dodecicosidodecahedron
Vertices:  60  (60[6])
Faces:104  (80 equilateral triangles + 24 regular pentagrams)
Edges:180
Symmetry:  Chiral Icosahedral  (I)
Pentagram-Triangle Angle 1:  acos(sqrt(15*(5+2*sqrt(5)    
    +4*sqrt(5*(sqrt(5)−2))))/15)    
≈16.303679801 degrees
Pentagram-Triangle Angle 2:  acos(−1/3)    ≈109.471220634 degrees
Triangle-Triangle Angle:  acos(−sqrt(15*(5+2*sqrt(5)    
    −4*sqrt(5*(sqrt(5)−2))))/15)    
≈125.7749004353 degrees
Dual Solid:  Great Hexagonal Hexecontahedron
(values below based on edge length = 1)
Circumscribed Radius:  sqrt(2)/2    ≈0.70710678118654752440
Midscribed Radius:  1/2    0.5
Triangle Center Radius:  sqrt(6)/6    ≈0.40824829046386301637
Pentagram Center Radius:  sqrt(10*sqrt(5))/10    ≈0.472870804501587906651


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.