Catalan Solid

The dual polyhedra of the Archimedean solids, given in the following table. They are known as Catalan solids in honor of the Belgian mathematician who first published them in 1862 (Wenninger 1983, p. 1).

	Archimedean solid	dual polyhedron
1	cuboctahedron	rhombic dodecahedron
2	great rhombicosidodecahedron	disdyakis triacontahedron
3	great rhombicuboctahedron	disdyakis dodecahedron
4	icosidodecahedron	rhombic triacontahedron
5	small rhombicosidodecahedron	deltoidal hexecontahedron
6	small rhombicuboctahedron	deltoidal icositetrahedron
7	snub cube (laevo)	pentagonal icositetrahedron (dextro)
8	snub dodecahedron (laevo)	pentagonal hexecontahedron (dextro)
9	truncated cube	small triakis octahedron
10	truncated dodecahedron	triakis icosahedron
11	truncated icosahedron	pentakis dodecahedron
12	truncated octahedron	tetrakis hexahedron
13	truncated tetrahedron	triakis tetrahedron

Here are the Archimedean duals (Pearce 1978, Holden 1991) displayed in the order listed above (left to right, then continuing to the next row).

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