Versi-Quasi-Regular Duals
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Rhombicosacron
Vertices:
50 (30[4] + 20[6])
Faces:
60 (bowties)
Edges:
120 (60 short + 60 long)
Symmetry:
Full Icosahedral (Ih)
Dihedral Angle:
acos(−5/7)
≈135.584691403 degrees
Dual Solid:
Rhombicosahedron
(values below based on unit-edge-length Rhombicosahedron)
Short Edge (60):
(5*sqrt(6)−sqrt(30))/10
≈0.67702231388642293564
Long Edge (60):
(5*sqrt(6)+sqrt(30))/10
≈1.7724674288967551626
[4]-Vertex Radius (30):
3*sqrt(5)/5
≈1.3416407864998738178
[6]-Vertex Radius (20):
sqrt(3)
≈1.73205080756887729353
Edge-scribed Radius:
sqrt(6)/2
≈1.2247448713915890491
Inscribed Radius:
3*sqrt(7)/7
≈1.1338934190276816816