Great dodecicosahedron

It has 32 faces (20 hexagons and 12 decagrams), 120 edges, and 60 vertices.

[1] Its vertex figure is a crossed quadrilateral.

It has a composite Wythoff symbol, 3 5⁄3 (3⁄2 5⁄2) |, requiring two different Schwarz triangles to generate it: (3 5⁄3 3⁄2) and (3 5⁄3 5⁄2).

It shares its vertex arrangement with the truncated dodecahedron.

It additionally shares its edge arrangement with the great icosicosidodecahedron (having the hexagonal faces in common) and the great ditrigonal dodecicosidodecahedron (having the decagrammic faces in common).