Triaugmented truncated dodecahedron
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In geometry, the triaugmented truncated dodecahedron is one of the Johnson solids (Template:Math); of them, it has the greatest volume in proportion to the cube of the side length, as well as the greatest number of edges. As its name suggests, it is created by attaching three pentagonal cupolas (Template:Math) onto three nonadjacent decagonal faces of a truncated dodecahedron.