The triaugmented dodecahedron is compose of three pentagonal pyramids and a regular dodecahedron ,which comes from the metabiaugmented dodecahedron.

       If we choose the metabiaugmented dodecahedron and add another pentagonal pyramid on one of the rest faces of the regular dodecahedron such that the three pentagonal pyramids are not mutually adjacent then gives the Triaugmented dodecahedron.And it is the Johnson solid .