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\section{Conclusions}  The patterns obtained are complex, and at first sight it may seem surprising that such complexity arises from such a simple algorithm, but a qualitative understanding is straightforward.  A single-cell bump on a straight edge of the cluster is not damped out by further growth, but rather is amplified because it has three growth sites (unoccupied neighbors) while each cell along the edge has only one growth site, and so the bump is more likely to capture a wandering particle.  The cluster grows outwards, growth inside the cluster is slow, since a wandering particle must avoid the branches in order to reach deep inside.    That is, initial fluctuations from the straight-line edge are likely to grow into larger branches, and the spaces between the branches are the beginnings of the fjords.  This behavior is also exhibited along each branch: by the same process, bumps along a branch lead to the formation of smaller branches off the larger, suggesting that DLA clusters have fractal properties.