A new computer simulation of the development of grain shape and crystallographic preferred orientations in dynamically recrystallizing aggregates is presented. This model is based on a uniform array of points, each of which represents a small area of crystal. This model combines homogeneous strains, simplified versions of the lattice rotations predicted by Taylor-Bishop-Hill theory, mobile grain boundaries and the nucleation of subgrains. It allows the progressive development of the fabrics and microstructures to be followed. The limitations of the simplifying assumptions used in this model are discussed.