Self-Intersecting Quasi-Regular Duals
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Great Triambic Icosahedron
Vertices:
32 (20[3] + 12[5])
Faces:
20 (triambi)
Edges:
60 (equal length)
Symmetry:
Full Icosahedral (Ih)
Dihedral Angle:
acos(−1/3)
≈109.471220634 degrees
Dual Solid:
Great Ditrigonal Icosidodecahedron
(values below based on unit-edge-length Great Ditrigonal Icosidodecahedron)
Edge Length:
(5*sqrt(2)+3*sqrt(10))/5
≈3.3115801584741226480
[3]-Vertex Radius (20):
sqrt(15)/5
≈0.77459666924148337704
[5]-Vertex Radius (12):
sqrt(5+2*sqrt(5))
≈3.0776835371752534026
Edge-scribed Radius:
sqrt(2)/2
≈0.70710678118654752440
Inscribed Radius:
sqrt(3)/3
≈0.57735026918962576451