Pentakis dodecahedronDeltoidal hexecontahedronPentagonal hexecontahedronTriakis icosahedronRhombic hexecontahedronSmall hexagonal hexecontahedron
In geometry, a hexecontahedron (or hexacontahedron) is a polyhedron with 60 faces. There are many symmetric forms, and the ones with highest symmetry have icosahedral symmetry:
Four Catalan solids, convex: Pentakis dodecahedron - isosceles triangles Deltoidal hexecontahedron - kites Pentagonal hexecontahedron - pentagons Triakis icosahedron - isosceles triangles
Concave Rhombic hexecontahedron - rhombi
27 uniform star-polyhedral duals: (self-intersecting) Small dodecicosacron, Great dodecicosacron Small rhombidodecacron, Great rhombidodecacron Small dodecacronic hexecontahedron, Great dodecacronic hexecontahedron Rhombicosacron Small icosacronic hexecontahedron, Medial icosacronic hexecontahedron, Great icosacronic hexecontahedron Small stellapentakis dodecahedron, Great stellapentakis dodecahedron Great pentakis dodecahedron Great triakis icosahedron Small ditrigonal dodecacronic hexecontahedron, Great ditrigonal dodecacronic hexecontahedron Medial deltoidal hexecontahedron, Great deltoidal hexecontahedron Medial pentagonal hexecontahedron, Great pentagonal hexecontahedron Medial inverted pentagonal hexecontahedron, Great inverted pentagonal hexecontahedron Great pentagrammic hexecontahedron Small hexagonal hexecontahedron, Medial hexagonal hexecontahedron, Great hexagonal hexecontahedron Small hexagrammic hexecontahedron
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