Vertices: | 44 (12[5] + 12[5] + 20[6]) |
Faces: | 60 (darts) |
Edges: | 120 (60 short + 60 long) |
Symmetry: | Full Icosahedral (Ih) |
Dihedral Angle: | acos(−5/7) | ≈135.584691403 degrees |
Dual Solid: | Icosidodecadodecahedron |
(values below based on unit-edge-length Icosidodecadodecahedron) |
Short Edge (60): | (7*sqrt(6)−sqrt(30))/11 | ≈1.0608366022209623230 |
Long Edge (60): | (7*sqrt(6)+sqrt(30))/11 | ≈2.0566957976849007111 |
Dart Length: | 6*sqrt(7)/11 | ≈1.44313707876250395846 |
Dart Width: | 2 |
[5]-Vertex Radius (12): | 3*sqrt(25−2*sqrt(5))/11 | ≈1.2356641617779932294 |
[5]-Vertex Radius (12): | 3*sqrt(25+2*sqrt(5))/11 | ≈1.4805885126395852507 |
[6]-Vertex Radius (20): | sqrt(3) | ≈1.73205080756887729353 |
Edge-scribed Radius: | sqrt(6)/2 | ≈1.2247448713915890491 |
Inscribed Radius: | 3*sqrt(7)/7 | ≈1.1338934190276816816 |
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