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Mandelbrot set

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Krieger

Dynamic numbers

Holly Krieger has won a Whitehead Prize for work that combines number theory and dynamical systems.
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What is the Mandelbrot set?

This article gives a short but thorough introduction to that fabled beast of mathematics: the Mandelbrot set.

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Mandelbrot

Unveiling the Mandelbrot set

You've probably seen pictures of the famed Mandelbrot set and its mysterious cousins, the Julia sets. In this article Robert L. Devaney explores the maths behind these beauties and shows that they're loaded with mathematical meaning.

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Mandelbrot set

Computing the Mandelbrot set

Almost everyone reading this article has no doubt encountered pictures from the Mandelbrot Set. Their appeal is not limited to the mathematician, and their breathtaking beauty has found its way onto posters, T-shirts and computers everywhere. Yet what is a fractal?