The parts of this structure that stick out furthest are the most likely to capture incoming particles and grow even further, leaving the intervening regions depleted; thus, ``the rich grow richer at the expense of the poor''.
The figure on this opposite page illustrates diffusion-limited aggregation in two dimensions, where the dendritic structure is more evident.
High-resolution simulations in three dimensions, illustrated on this page, are very demanding of computational resources, owing to the square-root dependency on time of the diffusion distance.