  We study the angular distributions of the splitting functions for processes
for which a parton splits into three partons. Unlike the case of coherent
branching, we find that both in vacuum and in the presence of the dense QCD
matter, such collinear splitting functions are neither ordered, nor
anti-ordered. In the medium-induced splitting functions the angular
distributions are broader compared to the similar vacuum distribution, a
feature previously noticed from the lowest order medium-induced splitting
functions.
