Self-Intersecting Quasi-Regular Duals

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Great Triambic Icosahedron
Vertices:  32  (20[3] + 12[5])
Faces:20  (triambi)
Edges:60  (equal length)
Symmetry:  Full Icosahedral  (Ih)
Dihedral Angle:  acos(−1/3)    ≈109.471220634 degrees
Dual Solid:  Great Ditrigonal Icosidodecahedron
(values below based on unit-edge-length Great Ditrigonal Icosidodecahedron)
Edge Length:  (5*sqrt(2)+3*sqrt(10))/5    ≈3.3115801584741226480
[3]-Vertex Radius (20):  sqrt(15)/5    ≈0.77459666924148337704
[5]-Vertex Radius (12):  sqrt(5+2*sqrt(5))    ≈3.0776835371752534026
Edge-scribed Radius:  sqrt(2)/2    ≈0.70710678118654752440
Inscribed Radius:  sqrt(3)/3    ≈0.57735026918962576451