Fractals

Fractals are complex, never-ending patterns that look similar at any level of magnification, a property called self-similarity. They are created using mathematical formulas that generate intricate shapes like coastlines, snowflakes, or mountains. Despite their often seeming chaotic, fractals follow precise rules, revealing underlying order in natural and abstract forms. They are used in various fields, from computer graphics to nature modeling, because they can efficiently describe complex structures with simple repeating patterns. In essence, fractals demonstrate how simple rules can produce astonishingly detailed and self-repeating patterns in both mathematics and nature.