  We introduce a simple dynamical rule in which each particle locates a
particle that is farthest from it and moves towards it. Repeated application of
this algorithm results in the formation of unusual dynamical patterns: during
the process of assembly the system self-organizes into slices of low particle
density separated by lines of increasingly high particle density along which
most particles move. As the process proceeds, pairs of lines meet and merge
with each other until a single line remains and particles move along it towards
the zone of assembly. We show that this pattern is governed by particles
(attractors) situated on the instantaneous outer boundary of the system and
that both in two and in three dimensions the lines are formed by zigzag motion
of a particle towards a pair of nearly equidistant attractors. This novel
line-dominated assembly is very different from the local assembly in which
particles that move towards their nearest neighbors produce point-like clusters
that coalesce into new point-like clusters, etc.
