Self-Intersecting Quasi-Regular Duals
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Small 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:
Small Ditrigonal Icosidodecahedron
(values below based on unit-edge-length Small Ditrigonal Icosidodecahedron)
Edge Length:
(3*sqrt(10)−5*sqrt(2))/5
≈0.48315303372793255040
[5]-Vertex Radius (12):
sqrt(5−2*sqrt(5))
≈0.72654252800536088590
[3]-Vertex Radius (20):
sqrt(15)/5
≈0.77459666924148337704
Edge-scribed Radius:
sqrt(2)/2
≈0.70710678118654752440
Inscribed Radius:
sqrt(3)/3
≈0.57735026918962576451