Self-Intersecting Truncated Quasi-Regular Duals

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Great Disdyakis Triacontahedron
Vertices:  62  (30[4] + 20[6] + 12[10])
Faces:120  (obtuse triangles)
Edges:180  (60 short + 60 medium + 60 long)
Symmetry:  Full Icosahedral  (Ih)
Dihedral Angle:  acos(−(179−24*sqrt(5))/241)    ≈121.336250807 degrees
Dual Solid:  Great Truncated Icosidodecahedron
(values below based on unit-edge-length Great Truncated Icosidodecahedron)
Short Edge (60):  3*sqrt(15*(65−19*sqrt(5)))/55    ≈1.0023914607409093576
Medium Edge (60):  2*sqrt(15*(5+sqrt(5)))/5    ≈4.1673208594970816419
Long Edge (60):  sqrt(15*(85+31*sqrt(5)))/11    ≈4.3738248570872609211
[10]-Vertex Radius (12):  3*sqrt(5*(5−2*sqrt(5)))/5    ≈0.97475908869871897847
[4]-Vertex Radius (30):  3*(4*sqrt(5)−5)/11    ≈1.0757105209088614870
[6]-Vertex Radius (20):  sqrt(15)    ≈3.8729833462074168852
Edge-scribed Radius:  sqrt(6*(5−2*sqrt(5)))/2    ≈0.88982923502244570318
Inscribed Radius:  3*sqrt(1205*(39−16*sqrt(5)))/241    ≈0.77575035606720002909