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A Tour of the Mandelbrot Set

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The Mandelbrot set is a famous image, but its mathematical content is much less widely known. We’ll take a mathematical walk around the Mandelbrot set, visiting the minibrots and the Feigenbaum point. We’ll stop at the rabbit, corabbit, and airplane, and answer the question: what happens when you twist the ears of the rabbit? We’ll find the freshman sum and the Fibonacci sequence. Finally, we’ll provide one answer to the question every mathematician wonders when they first meet the Mandelbrot set: why do we care about this pretty picture?

This talk is part of the Trinity Mathematical Society series.

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