disdyakis triacontahedron noun1 •A Catalan solid with 120 scalene triangle faces, 180 edges and 62 vertices, being the dual of the truncated icosidodecahedron.It is also a Catalan solid, the disdyakis triacontahedron, dual of the truncated icosidodecahedron. — 2007 formsdisdyakis triacontahedra