Self-Intersecting Truncated Regular Duals

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Great Stellapentakis Dodecahedron
Vertices:  32  (12[5] + 20[6])
Faces:60  (isosceles triangles)
Edges:90  (60 short + 30 long)
Symmetry:  Full Icosahedral  (Ih)
Dihedral Angle:  acos(−(80−9*sqrt(5))/109)    ≈123.320065258 degrees
Dual Solid:  Truncated Great Icosahedron
(values below based on unit-edge-length Truncated Great Icosahedron)
Short Edge (60):  9*(1+2*sqrt(5))/19    ≈2.5920643997366428703
Long Edge (30):  3*(1+sqrt(5))/2    ≈4.8541019662496845446
[5]-Vertex Radius (12):  9*sqrt(65−22*sqrt(5))/38    ≈0.94162251086867940334
[6]-Vertex Radius (20):  3*sqrt(3)/2    ≈2.5980762113533159403
Edge-scribed Radius:  3*(sqrt(5)−1)/4    ≈0.92705098312484227231
Inscribed Radius:  9*sqrt(109*(17−6*sqrt(5)))/218    ≈0.81594061628325203540