Versi-Quasi-Regular Duals
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Great Rhombidodecacron
Vertices:
42 (30[4] + 12[10])
Faces:
60 (bowties)
Edges:
120 (60 short + 60 long)
Symmetry:
Full Icosahedral (Ih)
Dihedral Angle:
acos(−(19−8*sqrt(5))/41)
≈91.553403672 degrees
Dual Solid:
Great Rhombidodecahedron
(values below based on unit-edge-length Great Rhombidodecahedron)
Short Edge (60):
sqrt(5−sqrt(5))
≈1.6625077511098137144
Long Edge (60):
sqrt(5+sqrt(5))
≈2.6899940478558293078
[10]-Vertex Radius (12):
sqrt(5−2*sqrt(5))
≈0.72654252800536088590
[4]-Vertex Radius (30):
sqrt(5)
≈2.2360679774997896964
Edge-scribed Radius:
sqrt(2*(5−2*sqrt(5)))/2
≈0.51374314837300779674
Inscribed Radius:
sqrt(205*(19−8*sqrt(5)))/41
≈0.36816224220521450411