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fractal

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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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Complex numbers: Insight

In this video the mathematician Holly Krieger explains how complex numbers are important in the study of dynamical systems.
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The Tower of Hanoi: Where maths meets psychology

Mathematicians and psychologists don't cross paths that often and when they do you wouldn't expect it to involve an (apparently) unassuming puzzle like the Tower of Hanoi. Yet, the puzzle holds fascination in both fields.