Versi-Quasi-Regular Duals
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(F: faces)
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Small 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)
≈154.121363126 degrees
Dual Solid:
Small Rhombidodecahedron
(values below based on unit-edge-length Small Rhombidodecahedron)
Short Edge (60):
sqrt(5−sqrt(5))
≈1.6625077511098137144
Long Edge (60):
sqrt(5+sqrt(5))
≈2.6899940478558293078
[4]-Vertex Radius (30):
sqrt(5)
≈2.2360679774997896964
[10]-Vertex Radius (12):
sqrt(5+2*sqrt(5))
≈3.0776835371752534026
Edge-scribed Radius:
sqrt(2*(5+2*sqrt(5)))/2
≈2.1762508994828215111
Inscribed Radius:
sqrt(205*(19+8*sqrt(5)))/41
≈2.12099101951843341751