The Fractal Geometry of Nature

The Fractal Geometry of Nature describes how many natural patterns, like coastlines, mountain ranges, clouds, and fern leaves, display self-similarity—meaning their shapes repeat at different scales. Unlike simple shapes like circles or squares, fractals are complex, irregular, and infinitely detailed. They are created using mathematical rules that generate these patterns repeatedly, revealing the underlying order in nature’s apparent chaos. Fractals help us understand the structure and formation of natural objects, showing that complexity often arises from simple, repeated processes.