Self-Intersecting Quasi-Regular Duals

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Medial Triambic Icosahedron
Vertices:  24  (12[5] + 12[5])
Faces:20  (triambi)
Edges:60  (equal length)
Symmetry:  Full Icosahedral  (Ih)
Dihedral Angle:  acos(−1/3)    ≈109.471220634 degrees
Dual Solid:  Ditrigonal Dodecadodecahedron
(values below based on unit-edge-length Ditrigonal Dodecadodecahedron)
Edge Length:  2*sqrt(2)    ≈2.8284271247461900976
Inner Vertex Radius (12):  sqrt(5−2*sqrt(5))    ≈0.72654252800536088590
Outer 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