An alternative method for generating fractal art patterns based on the balanced optimiser algorithm

Fractal art patterns are widely used in fields such as artistic creation, data visualisation, and scientific simulation. The existing fractal pattern generation methods often face the problems of insufficient pattern diversity and low generation efficiency. This article proposes a fractal art pattern generation method based on the equilibrium optimiser (EO) algorithm. Firstly, using fractal iterative function system to define the solution space of key parameters; secondly, the balanced optimiser algorithm is introduced to perform global search and local optimisation of parameters; and finally, the complexity, symmetry, and diversity of the generated patterns were quantitatively evaluated through experiments. The results indicate that this method improves the generation efficiency while maintaining the complexity of fractal patterns, and significantly expands the diversity of patterns. This study not only enriches the technical means of fractal art creation, but also provides a new perspective for the application in art design.