Self-Intersecting Quasi-Regular Duals

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Small 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:  Small Ditrigonal Icosidodecahedron
(values below based on unit-edge-length Small Ditrigonal Icosidodecahedron)
Edge Length:  (3*sqrt(10)−5*sqrt(2))/5    ≈0.48315303372793255040
[5]-Vertex Radius (12):  sqrt(5−2*sqrt(5))    ≈0.72654252800536088590
[3]-Vertex Radius (20):  sqrt(15)/5    ≈0.77459666924148337704
Edge-scribed Radius:  sqrt(2)/2    ≈0.70710678118654752440
Inscribed Radius:  sqrt(3)/3    ≈0.57735026918962576451