Self-Intersecting Truncated Quasi-Regular Duals

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Tridyakis Icosahedron
Vertices:  44  (20[6] + 12[10] + 12[10])
Faces:120  (obtuse triangles)
Edges:180  (60 short + 60 medium + 60 long)
Symmetry:  Full Icosahedral  (Ih)
Dihedral Angle:  acos(−7/8)    ≈151.044975628 degrees
Dual Solid:  Icositruncated Dodecadodecahedron
(values below based on unit-edge-length Icositruncated Dodecadodecahedron)
Short Edge (60):  5*(sqrt(15)−sqrt(3))/8    ≈1.3380828366490872448
Medium Edge (60):  3*sqrt(15)/4    ≈2.9047375096555626639
Long Edge (60):  5*(sqrt(3)+sqrt(15))/8    ≈3.5031463461101838617
[10]-Vertex Radius (12):  3*sqrt(10*(5−sqrt(5)))/8    ≈1.9714916704467510226
[6]-Vertex Radius (20):  5*sqrt(3)/4    ≈2.1650635094610966169
[10]-Vertex Radius (12):  3*sqrt(10*(5+sqrt(5)))/8    ≈3.1899405313201497457
Edge-scribed Radius:  sqrt(15)/2    ≈1.9364916731037084426
Inscribed Radius:  15/8    1.875