There are two (regular) ways of augmenting a Truncated Dodecahedron with pentagonal cupolae: cupola pairs connected square-to-square (CS2S) and connected triangle-to-triangle (CT2T). The Truncated Dodecahedron may also be augmented with pentagonal rotundae in two (regular) ways: rotunda pairs connected pentagon-to-pentagon (RP2P) and connected triangle-to-triangle (RT2T), producing polyhedra that are far from spherical. These models do not appear in this entry, because I haven't tried to build them myself (yet).