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Polyhedron with 60 faces From Wikipedia, the free encyclopedia
In geometry, the small dodecicosacron (or small dipteral trisicosahedron) is the dual of the small dodecicosahedron (U50). It is visually identical to the Small ditrigonal dodecacronic hexecontahedron. It has 60 intersecting bow-tie-shaped faces.
Small dodecicosacron | |
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Type | Star polyhedron |
Face | ![]() |
Elements | F = 60, E = 120 V = 32 (χ = −28) |
Symmetry group | Ih, [5,3], *532 |
Index references | DU50 |
dual polyhedron | Small dodecicosahedron |
Each face has two angles of and two angles of . The diagonals of each antiparallelogram intersect at an angle of . The dihedral angle equals . The ratio between the lengths of the long edges and the short ones equals , which is the golden ratio. Part of each face lies inside the solid, hence is invisible in solid models.