Self-Intersecting Quasi-Quasi-Regular Duals
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Medial Icosacronic Hexecontahedron
Vertices:
44 (12[5] + 12[5] + 20[6])
Faces:
60 (darts)
Edges:
120 (60 short + 60 long)
Symmetry:
Full Icosahedral (Ih)
Dihedral Angle:
acos(−5/7)
≈135.584691403 degrees
Dual Solid:
Icosidodecadodecahedron
(values below based on unit-edge-length Icosidodecadodecahedron)
Short Edge (60):
(7*sqrt(6)−sqrt(30))/11
≈1.0608366022209623230
Long Edge (60):
(7*sqrt(6)+sqrt(30))/11
≈2.0566957976849007111
Dart Length:
6*sqrt(7)/11
≈1.44313707876250395846
Dart Width:
2
[5]-Vertex Radius (12):
3*sqrt(25−2*sqrt(5))/11
≈1.2356641617779932294
[5]-Vertex Radius (12):
3*sqrt(25+2*sqrt(5))/11
≈1.4805885126395852507
[6]-Vertex Radius (20):
sqrt(3)
≈1.73205080756887729353
Edge-scribed Radius:
sqrt(6)/2
≈1.2247448713915890491
Inscribed Radius:
3*sqrt(7)/7
≈1.1338934190276816816