A Simple Method for Generating New Fractal-like Aggregates from Gravity-Based Simulation and Diffusion-Limited Aggregation

This paper proposes a new simple method for generating fractal-like aggregates in 2D real spaces. The idea is to use an initial fractal aggregate and simulate a Gravity-based attraction from a distant point (using a gravity attractor with a large mass, but without volume). A Diffusion-Limited Aggregation (DLA) procedure is then applied by considering a single particle situated in the gravity attractor, with a minimum distance Ra for deciding between aggregation or no aggregation. The final aggregates obtained are completely new fractal-like aggregates (images or structures). We analyze the fractal-like generated images obtained with the proposed method, considering different configurations and parameters in the simulations, including different initial fractals, different minimum distances Ra, etc. We also analyze the fractal dimensions of some of the new aggregates constructed by the proposed Gravity-based DLA simulation method.