[math-fun] can some with access to The Symmetries of Things

please tell me if Conway et al have a more standard terminology for these things I've been calling alternately concave pentiprisms and overtruncated trapezohedra? Do they recognize the more logical terms, e.g., pentatrapezohedron vs the more standard but illogical "pentagonal trapezohedron", which has no pentagonal faces? Tnx, --rwg