Fractal is a term used to describe a complex geometric pattern that can be repeated infinitely at different scales. There are many synonyms for this word that capture the same essence of repetition, complexity and self-similarity. Some of these synonyms include "recursive", "self-similar", "infinitely complex" or "infinite pattern". Other synonyms include "chaotic", "non-linear" and "irregular", which describe the unpredictable and irregular nature of fractals. Additionally, "fractal-like", "fractured" or "fragmented" are synonyms that suggest the fragmented nature of the repeated patterns in fractals. Overall, these synonyms capture the complexity and unique nature of fractals in mathematics and nature.