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Deltoidal hexecontahedron
TypeCatalan
Face polygonkite
Faces60
Edges120
Vertices62 = 12 + 20 + 30
Face configurationV3.4.5.4
Symmetry groupicosahedral (Ih)
Dual polyhedronrhombicosidodecahedron
Propertiesconvex, face-uniform
A deltoidal hexecontahedron is a catalan solid which looks a bit like an overinflated dodecahedron. It is sometimes also called the trapezoidal hexecontahedron or strombic hexecontahedron.

As of July 7, 2006, it is the only Archimedean Dual in which nobody knows whether or not a Hamiltonian Cycle exists among its vertices.

See also


Catalan solids

Hexecontaedro deltoidal | 凧形六十面体 | Hexecontaedro deltoidal

 

This article is licensed under the GNU Free Documentation License. It uses material from the "Deltoidal hexecontahedron".

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