We discuss the fragmentation of a heavy quark to a baryon containing t
wo heavy quarks of mass m(Q) much greater than LAMBDA(QCD). In this li
mit the heavy quarks first combine perturbatively into a compact diqua
rk with a radius small compared to 1/LAMBDA(QCD), which interacts with
the light hadronic degrees of freedom exactly as does a heavy antiqua
rk. The subsequent evolution of this QQ diquark to a QQq baryon is ide
ntical to the fragmentation of a heavy antiquark to a meson. We apply
this analysis to the production of baryons of the form ccq, bbq, and b
cq.