Triaugmented truncated dodecahedron

In geometry, the triaugmented truncated dodecahedron is one of the Johnson solids ($J70 – J71 – J72$); of them, it has the greatest volume in proportion to the cube of the side length. As its name suggests, it is created by attaching three pentagonal cupolas ($C3v$) onto three nonadjacent decagonal faces of a truncated dodecahedron.