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Times Tables, Mandelbrot and the Heart of Mathematics

The good old times tables lead a very exciting secret life involving the infamous Mandelbrot set, the ubiquitous cardioid and a myriad of hidden beautiful patterns. Time for the Mathologer to go on a serious fact-finding mission.

The discovery of the stunning patterns that I discuss in this video is due to the mathematician Simon Plouffe.

Check out this article and his website for other stunning visualisations using modular arithmetic.

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