Batchelor, M. T.Henry, B. I.2026-01-062026-01-060378-4371ORCID:/0000-0001-6742-0518/work/162950062https://hdl.handle.net/1885/733803851We investigate the scaling of cluster size with mass for zero-noise needle-star DLA clusters on the square (d = 2) and cubic (d = 3) lattices. We find that the clusters are essentially planar (D = 2). However, estimates of the isotropic self-similar fractal dimension via the radius of gyration yield D = 1.5 for d = 2 and D {reversed tilde equals} 1.7 for d = 3. The same scaling exponents are derived from an algebraic model. We show that the planar result D = 2 is consistent with self-affine fractal geometry.M.T.B. has been supported by the Australian Research Council. The calculations reported here were carried out on the Fujitsu VP-2200 at the Australian National University SupercomputerF acility.4en1992-12-1510.1016/0378-4371(92)90513-P26344445047