  We investigate the optimal distribution of quantum information over
multipartite systems in asymmetric settings. We introduce cloning
transformations that take $N$ identical replicas of a pure state in any
dimension as input, and yield a collection of clones with non-identical
fidelities. As an example, if the clones are partitioned into a set of $M_A$
clones with fidelity $F^A$ and another set of $M_B$ clones with fidelity $F^B$,
the trade-off between these fidelities is analyzed, and particular cases of
optimal $N \to M_A+M_B$ cloning machines are exhibited. We also present an
optimal $1 \to 1+1+1$ cloning machine, which is the first known example of a
tripartite fully asymmetric cloner. Finally, it is shown how these cloning
machines can be optically realized.
