Self-Intersecting Truncated Quasi-Regular Duals
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Tridyakis Icosahedron
Vertices:
44 (20[6] + 12[10] + 12[10])
Faces:
120 (obtuse triangles)
Edges:
180 (60 short + 60 medium + 60 long)
Symmetry:
Full Icosahedral (Ih)
Dihedral Angle:
acos(−7/8)
≈151.044975628 degrees
Dual Solid:
Icositruncated Dodecadodecahedron
(values below based on unit-edge-length Icositruncated Dodecadodecahedron)
Short Edge (60):
5*(sqrt(15)−sqrt(3))/8
≈1.3380828366490872448
Medium Edge (60):
3*sqrt(15)/4
≈2.9047375096555626639
Long Edge (60):
5*(sqrt(3)+sqrt(15))/8
≈3.5031463461101838617
[10]-Vertex Radius (12):
3*sqrt(10*(5−sqrt(5)))/8
≈1.9714916704467510226
[6]-Vertex Radius (20):
5*sqrt(3)/4
≈2.1650635094610966169
[10]-Vertex Radius (12):
3*sqrt(10*(5+sqrt(5)))/8
≈3.1899405313201497457
Edge-scribed Radius:
sqrt(15)/2
≈1.9364916731037084426
Inscribed Radius:
15/8
1.875