In this article we use (finite state) automatons to count 698,438,863,898,480,640 passwords in a couple milliseconds.
Syncro is a beautiful game where you have to unite all the petals in a single flower. In how many moves can you do it?
I know a proof that there's irrational numbers that one to the power of the other give a rational number and this footer is almost the right size for it.