the name "truncated dodecadodecahedron" is somewhat misleading: truncation of the dodecadodecahedron would produce rectangular faces rather than squares, and the pentagram faces of the dodecahedron would turn into truncated pentagrams rather than decagrams. however, it is the quasitruncation of the dodecadodecahedron, as defined by . for this reason, it is also known as the quasitruncated dodecadodecahedron. coxeter et al. credit its discovery to a paper published in 1881 by austrian mathematician johann pitsch.