pentagonal icositetrahedron noun1 •A Catalan solid with 24 irregular pentagonal faces, 60 edges and 38 vertices, being the dual of the snub cube.The pentagonal icositetrahedron is enantiomorphous, and as such the two possible varieties are distinct forms of the solid, which cannot be brought into identity by rotation. — 1922 formspentagonal icositetrahedra