Numerical simulations of a simple reaction-diffusion model reveal a su
rprising variety of irregular spatiotemporal patterns. These patterns
arise in response to finite-amplitude perturbations. Some of them rese
mble the steady irregular patterns recently observed in thin gel react
or experiments. Others consist of spots that grow until they reach a c
ritical size, at which time they divide in two. If in some region the
spots become overcrowded, all of the spots in that region decay into t
he uniform background.