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Polyhedron with 60 faces
In
geometry , a hexecontahedron (or hexacontahedron
[1] ) is a
polyhedron with 60 faces. There are many symmetric forms, and the ones with highest symmetry have
icosahedral symmetry :
Four
Catalan solids , convex:
Concave
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
References
Listed by number of faces and type
1–10 faces 11–20 faces >20 faces elemental things convex polyhedron non-convex polyhedron
prismatoid s