The Aperiodical 

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Buzz in when you think you know the answer

By Andrew Taylor. Posted March 14, 2019

Aperiodical guest author Andrew Taylor writes about an intriguing piece of number theory which turns out to also be something else.

How many ways are there of writing some natural number $n$ as the sum of two squares?

$$n=p^2+q^2$$

I don’t want an answer for some particular $n$. I don’t even want a general formula. I just want to know… on average.

Mandelbrot’s bum is full of π

By Andrew Taylor. Posted March 10, 2015

They say that $\pi$ is everywhere. (They say that about $\varphi$ too, but I’m not buying it.) I thought it would be interesting to discuss the most unexpected place I’m aware it’s ever appeared.

Things I Made And Did

By Andrew Taylor. Posted December 4, 2014

Since you’re here reading this, you probably know that on October 30th, Matt “Friend of the Site” Parker released his book, Things to Make and Do in the Fourth Dimension. If you’ve gone one further and read it, you might have seen the occasional reference to the website, makeanddo4d.com. If that website is the book’s DVD extras, this is the website’s extras. We’re going to peek behind the scenes and see how it all works. (Spoiler alert: the maths is powered by maths. It’s recursive maths, all the way down.)