Self-Intersecting Truncated Regular Duals
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Great Stellapentakis Dodecahedron
Vertices:
32 (12[5] + 20[6])
Faces:
60 (isosceles triangles)
Edges:
90 (60 short + 30 long)
Symmetry:
Full Icosahedral (Ih)
Dihedral Angle:
acos(−(80−9*sqrt(5))/109)
≈123.320065258 degrees
Dual Solid:
Truncated Great Icosahedron
(values below based on unit-edge-length Truncated Great Icosahedron)
Short Edge (60):
9*(1+2*sqrt(5))/19
≈2.5920643997366428703
Long Edge (30):
3*(1+sqrt(5))/2
≈4.8541019662496845446
[5]-Vertex Radius (12):
9*sqrt(65−22*sqrt(5))/38
≈0.94162251086867940334
[6]-Vertex Radius (20):
3*sqrt(3)/2
≈2.5980762113533159403
Edge-scribed Radius:
3*(sqrt(5)−1)/4
≈0.92705098312484227231
Inscribed Radius:
9*sqrt(109*(17−6*sqrt(5)))/218
≈0.81594061628325203540