Fractals are repeating patterns that appear the same at every scale — zoom in, zoom out, the structure echoes itself like a universe built from mirrors. They show up in nature, mathematics, physics, art, clouds, coastlines, lightning, Romanesco broccoli, galaxies, blood vessels — everywhere complexity decides to organise itself beautifully.

They are created by simple rules that loop forever, generating infinite detail:
tiny shapes inside bigger shapes inside even bigger shapes, all following the exact same pattern.

Fractals are important in:

1. Computer graphics — mountains, smoke, trees, clouds
2. Scientific modelling — chaotic systems, turbulence, growth patterns
3. Biology — lungs, neurons, blood vessels
4. Cosmology — galaxy clustering
5. Mathematics — chaos theory, Mandelbrot sets
6. AI & data compression — generating huge images from tiny formulas

Fractals teach us that nature’s complexity comes from simple instructions repeated over and over — just like neural networks, which learn patterns by layering the same mathematical structures again and again.

They are the bridge between order and chaos, between art and science, between patterns we see and patterns we sense.