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Catalan Solid

The Dual Polyhedra of the Archimedean Solids, given in the following table.

Archimedean Solid Dual
Great Rhombicuboctahedron Disdyakis Dodecahedron
Rhombicosidodecahedron Deltoidal Hexecontahedron
Small Rhombicuboctahedron Deltoidal Icositetrahedron
Great Rhombicosidodecahedron Disdyakis Triacontahedron
Snub Dodecahedron (laevo) Pentagonal Hexecontahedron (dextro)
Snub Cube (laevo) Pentagonal Icositetrahedron (dextro)
Truncated Icosahedron Pentakis Dodecahedron
Cuboctahedron Rhombic Dodecahedron
Icosidodecahedron Rhombic Triacontahedron
Truncated Octahedron Tetrakis Hexahedron
Truncated Dodecahedron Triakis Icosahedron
Truncated Cube Triakis Octahedron
Truncated Tetrahedron Triakis Tetrahedron

Here are the Archimedean Duals (Holden 1971, Pearce 1978) displayed in alphabetical order (left to right, then continuing to the next row).


Here are the Archimedean solids paired with the corresponding Catalan solids.



See also Archimedean Solid, Dual Polyhedron, Semiregular Polyhedron


Catalan, E. ``Mémoire sur la Théorie des Polyèdres.'' J. l'École Polytechnique (Paris) 41, 1-71, 1865.

Holden, A. Shapes, Space, and Symmetry. New York: Dover, 1991.

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© 1996-9 Eric W. Weisstein