Self-Intersecting Quasi-Quasi-Regular Duals

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Small Icosacronic Hexecontahedron
Vertices:  52  (20[3] + 12[5] + 20[6])
Faces:60  (kites)
Edges:120  (60 short + 60 long)
Symmetry:  Full Icosahedral  (Ih)
Dihedral Angle:  acos(−(44+3*sqrt(5))/61)    ≈146.230659756 degrees
Dual Solid:  Small Icosicosidodecahedron
(values below based on unit-edge-length Small Icosicosidodecahedron)
Short Edge (60):  sqrt(30*(65−19*sqrt(5)))/22    ≈1.1813296654889765606
Long Edge (60):  sqrt(30*(85−sqrt(5)))/38    ≈1.31128649498711757954
Kite Length:  3*sqrt(10*(3517−585*sqrt(5)))/418    ≈1.0666772275746133833
Kite Width:  sqrt(5)    ≈2.2360679774997896964
[5]-Vertex Radius (12):  3*sqrt(5*(25+2*sqrt(5)))/22    ≈1.6553482804837096024
[3]-Vertex Radius (20):  3*(10*sqrt(3)+sqrt(15))/38    ≈1.6731703754128570911
[6]-Vertex Radius (20):  sqrt(15)/2    ≈1.9364916731037084426
Edge-scribed Radius:  sqrt(6*(5+sqrt(5)))/4    ≈1.6472782070926638518
Inscribed Radius:  3*sqrt(305*(9+2*sqrt(5)))/122    ≈1.5762662330971825539