Self-Intersecting Quasi-Quasi-Regular Duals
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Medial Deltoidal Hexecontahedron
Vertices:
54 (30[4] + 12[5] + 12[5])
Faces:
60 (kites)
Edges:
120 (60 short + 60 long)
Symmetry:
Full Icosahedral (Ih)
Dihedral Angle:
acos(−5/7)
≈135.584691403 degrees
Dual Solid:
Rhombidodecadodecahedron
(values below based on unit-edge-length Rhombidodecadodecahedron)
Short Edge (60):
3*(7*sqrt(30)−5*sqrt(6))/110
≈0.71163082667579283957
Long Edge (60):
3*(5*sqrt(6)+7*sqrt(30))/110
≈1.3796734837984777754
Kite Length:
6*sqrt(7)/11
≈1.44313707876250395846
Kite Width:
3*sqrt(5)/5
≈1.3416407864998738178
[5]-Vertex Radius (12):
3*sqrt(25−2*sqrt(5))/11
≈1.2356641617779932294
[4]-Vertex Radius (30):
3*sqrt(5)/5
≈1.3416407864998738178
[5]-Vertex Radius (12):
3*sqrt(25+2*sqrt(5))/11
≈1.4805885126395852507
Edge-scribed Radius:
sqrt(6)/2
≈1.2247448713915890491
Inscribed Radius:
3*sqrt(7)/7
≈1.1338934190276816816