Is Diffusion Limited Aggregation Locally Isotropic or Self-Affine?

We present results of simulations which show unambiguously that diffusion limited aggregation clusters are not self-affine, in contrast to frequent claims. The measured observable is the asymmetry of the last step of a walker before it sticks to the growing cluster. Using deposition onto an originally straight line off lattice, we show that this asymmetry tends to zero algebraically with the thickness of the deposit.