This video describes a pattern I discovered when I was young. I was exploring polyrhythms. I plotted rows of numbers and spaced them out in a way that also visualizes integer divisibility.

Of course I'm not the only one to come across this pattern. A handful of mathematicians have written about it as well, with some mathematical analysis (see divisorplot.com).

This is an endless pattern that can be investigated in a purely-visual way...and though this visual analysis, many concepts from number theory can be discovered.

I was a poor math student; I never got past algebra in High School, and I failed Math 001 in college. Math notation and I never got along. But as an artist with a love of geometry and music, I was able to find a new way to appreciate math, after learning how to write code and starting my career in computer graphics, in the late 1980's.

This video was submitted to the 3Blue1Brown Summer of Mathematical Exposition in August of 2022.

I'd like to thank Dan Bach, Canton Becker, Michael Dunworth, and others who have shared ideas and motivations, and given me support and feedback over the course of developing this material.

I hope you enjoy this video.