Self Assembling
A Self-Assembling system is often taken to mean one which, given the parts spread randomly, will draw together in the correct order, like water drawing into a bead via capillary action or a growing crystal.
In the context of this wiki, the requirement is less rigerous. A self-assembling system is one which, if presented with the correct components in an orderly fashion, can assemble them into a duplicate of itself.
In this sense, a couple of non-biological self-assembling systems have already been demonstrated:
