Self-Intersecting Truncated Regular Duals
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Small Stellapentakis Dodecahedron
Vertices:
24 (12[5] + 12[10])
Faces:
60 (isosceles triangles)
Edges:
90 (60 short + 30 long)
Symmetry:
Full Icosahedral (Ih)
Dihedral Angle:
acos(−(24+5*sqrt(5))/41)
≈149.099125827 degrees
Dual Solid:
Truncated Great Dodecahedron
(values below based on unit-edge-length Truncated Great Dodecahedron)
Short Edge (60):
5*(sqrt(5)−1)/2
≈3.0901699437494742410
Long Edge (30):
(5+3*sqrt(5))/2
≈5.8541019662496845446
[5]-Vertex Radius (12):
5*sqrt(5−2*sqrt(5))/2
≈1.8163563200134022147
[10]-Vertex Radius (12):
sqrt(5*(5+2*sqrt(5)))/2
≈3.44095480117793384552
Edge-scribed Radius:
(5+sqrt(5))/4
≈1.8090169943749474241
Inscribed Radius:
5*sqrt(41*(11+4*sqrt(5)))/82
≈1.7436414058326379706