i had already heard some of the arguments in favor of the use of Tau as fundamental constant in mathematics instead of Pi. i thought that besides providing some simplification to many common formulas (fourier, gauss, cauchy, etc), it wasn’t much more than just a mere matter of solving the inconvenient problem of mapping fractions of a circle (like a quarter circle) to an angle that was twice that fraction of Pi (like a half Pi). so i never got convinced it was a change worth adopting.
but then i was exposed to this powerful idea, which elevates the celebrated euler’s formula into an ever higher level: taking one full circle brings you to the same point, or in other words, one turn equals identity, or even in other words:
this idea is so elegant, beautiful and so much powerful than euler’s orignal formula that when i saw it i was immediately sold.
so, from now on, i’ll be using Tau, not Pi.