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Catalan Solid




In Mathematics , a Catalan solid, or '''Archimedean dual''', is a Dual Polyhedron to an Archimedean Solid . The Catalan solids are named for the Belgian mathematician, Eugène Catalan who first described them in 1865 .

The Catalan solids are all convex. They are face-uniform but not vertex-uniform. This is because the dual Archimedean solids are vertex-uniform and not face uniform. Note that unlike and the Rhombic Triacontahedron . These are the duals of the two quasi-regular Archimedean solids.

Just like their dual Archimedean partners there are two and the Pentagonal Hexecontahedron . These each come in two Enantiomorph s. Not counting the enantiomorphs there are a total of 13 Catalan solids.


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