Timothy W. Butcher and I collaborated on a number of diverse projects. One was a personality disorder quiz that he devised while taking an abnormal psychology university course.
What are the note frequencies of music by Bach? That is, "How often does an F follow a C?" etc. What does it sound like if you "reconstruct" playable music from these frequencies?
When I was a kid, my younger brother became a chess master and would regularly thrash me in the game. Invariably this seemed to be because I would do something dumb like leaving my queen threatened and unattended.
Today I decided to more deeply investigate this curious math thing I discovered (for myself) - Plotting the Fibonacci numbers by Prime numbers each by a given modulo. "Fibo-what? Mod-what? So what!", you say. :p