Vertices: | 24 (12[5] + 12[10]) |
Faces: | 60 (isosceles triangles) |
Edges: | 90 (30 short + 60 long) |
Symmetry: | Full Icosahedral (Ih) |
Dihedral Angle: | acos(−(24−5*sqrt(5))/41) | ≈108.220490681 degrees |
Dual Solid: | Small Stellated Truncated Dodecahedron |
(values below based on unit-edge-length Small Stellated Truncated Dodecahedron) |
Short Edge (30): | (3*sqrt(5)−5)/2 | ≈0.85410196624968454461 |
Long Edge (60): | 5*(1+sqrt(5))/2 | ≈8.0901699437494742410 |
[10]-Vertex Radius (12): | sqrt(5*(5−2*sqrt(5)))/2 | ≈0.81229924058226581539 |
[5]-Vertex Radius (12): | 5*sqrt(5+2*sqrt(5))/2 | ≈7.6942088429381335064 |
Edge-scribed Radius: | (5−sqrt(5))/4 | ≈0.69098300562505257590 |
Inscribed Radius: | 5*sqrt(41*(11−4*sqrt(5)))/82 | ≈0.55979744948628315994 |
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