#fractal #ambient t
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1Fractal dimension is a measure that expresses how much space a shape or structure occupies, often using non-integer values. For example, the coastline of the UK may look like a line, but its intricate details appear no matter how much you zoom in, giving it a fractal dimension around 1.25–1.35. Romanesco broccoli has self-similar structures and a dimension between 2.3 and 2.7. Lightning patterns spread through space but don’t fill it completely, with dimensions around 1.7–1.9. The Mandelbrot set lies on a 2D plane, but its boundary is infinitely complex. Fractal dimension helps quantify natural and mathematical complexity.
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