Self-Intersecting Truncated Regular Duals

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Great Pentakis Dodecahedron
Vertices:  24  (12[5] + 12[10])
Faces:60  (isosceles triangles)
Edges:90  (30 short + 60 long)
Symmetry:  Full Icosahedral  (Ih)
Dihedral Angle:  acos(−(24−5*sqrt(5))/41)    ≈108.220490681 degrees
Dual Solid:  Small Stellated Truncated Dodecahedron
(values below based on unit-edge-length Small Stellated Truncated Dodecahedron)
Short Edge (30):  (3*sqrt(5)−5)/2    ≈0.85410196624968454461
Long Edge (60):  5*(1+sqrt(5))/2    ≈8.0901699437494742410
[10]-Vertex Radius (12):  sqrt(5*(5−2*sqrt(5)))/2    ≈0.81229924058226581539
[5]-Vertex Radius (12):  5*sqrt(5+2*sqrt(5))/2    ≈7.6942088429381335064
Edge-scribed Radius:  (5−sqrt(5))/4    ≈0.69098300562505257590
Inscribed Radius:  5*sqrt(41*(11−4*sqrt(5)))/82    ≈0.55979744948628315994