Fractals are a visual metaphor for emergent processes. They demonstrate how the iterations of a pattern / the pattern of iterations can give rise to new patterns. These new patterns arise at a greater (emergent) scale but only exist as a function of the original pattern at a smaller (generative) scale.



A fractal is an object or quantity that displays self-similarity, in a somewhat technical sense, on all scales. The object need not exhibit exactly the same structure at all scales, but the same “type” of structures must appear on all scales.

Fractals | Eric Weisstein



Repeating Patterns

A fractal is a natural phenomenon or a mathematical set that exhibits a repeating pattern that displays at every scale. If the replication is exactly the same at every scale, it is called a self-similar pattern…Fractals can also be nearly the same at different levels…Fractal also includes the idea of a detailed pattern that repeats itself.

Fractal | Wikipedia




A fractal is a never-ending pattern. Fractals are infinitely complex patterns that are self-similar across different scales. They are created by repeating a simple process over and over in an ongoing feedback loop. Driven by recursion, fractals are images of dynamic systems – the pictures of Chaos. Geometrically, they exist in between our familiar dimensions. Fractal patterns are extremely familiar, since nature is full of fractals. For instance: trees, rivers, coastlines, mountains, clouds, seashells, hurricanes, etc. Abstract fractals…can be generated by a computer calculating a simple equation over and over.

What are fractals? | Fractal Foundation


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