You've no doubt heard the claim that some of the greatest musicians of all time had an intuitive sense for mathematical proportion and harmony. It's no coincidence, for instance, that the musical scale was invented by that most eccentric of mathematicians, Pythagoras.
And if you're familiar with your Leibniz, you might remember that he once claimed that "music is the pleasure the human mind experiences from counting without being aware that it is counting."
Well, the following animation beautifully illustrates this abstract claim in as concrete a way as it is possible to do...
And if you need the sound of a more familiar rendition, we aim to please:
And why stop at music? Take a look at the the fibonacci sequence throughout nature.
May your day be blessed with beauty... and math :)