Self-Intersecting Quasi-Regular Duals
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Medial Triambic Icosahedron
Vertices:
24 (12[5] + 12[5])
Faces:
20 (triambi)
Edges:
60 (equal length)
Symmetry:
Full Icosahedral (Ih)
Dihedral Angle:
acos(−1/3)
≈109.471220634 degrees
Dual Solid:
Ditrigonal Dodecadodecahedron
(values below based on unit-edge-length Ditrigonal Dodecadodecahedron)
Edge Length:
2*sqrt(2)
≈2.8284271247461900976
Inner Vertex Radius (12):
sqrt(5−2*sqrt(5))
≈0.72654252800536088590
Outer 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