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Mandelbrot set

The Mandelbrot set (/ˈmændəlbrɒt/) is the set of complex numbers c{\displaystyle c} for which the function fc(z)=z2+c{\displaystyle f_{c}(z)=z^{2}+c} does not diverge to infinity when iterated from z=0{\displaystyle z=0}, i.e.


In mathematics, a fractal is a subset of Euclidean space with a fractal dimension that strictly exceeds its topological dimension. Fractals appear the same at different scales, as illustrated in successive magnifications of the Mandelbrot set.

The violent attack that turned a man into a maths genius

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fractals Mandelbrot Set mathematics