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Sense of Scale

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100,000x
The edges of this fractal flea are a little less well-defined than those of earlier ones, but it is still easily recognizable as a Mandelbrot-set icon. So how can we keep zooming in like this and still find such vivid detail? Well, each of these images represents a graph of the complex number plane, and between any two numbers on the plane exists an infinite number of numbers. So a Mandelbrot set, by definition, is infinitely detailed.


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