This is a site I have setup to appreciate the magic of e^(i*pi) which is equal to -1. One of my favorite equations using it can be seen below. In reality the math doesn’t actually work out due to how i actually works.

e^(i*pi) = -1

e^(3*i*pi) = e^(i*pi) * e^(i*pi) * e^(i*pi)

e^(3*i*pi) = -1 * -1 * -1

e^(3*i*pi) = -1

e^(i*pi) = e^(3*i*pi)

ln e^(i*pi) = ln e^(3*i*pi)

i*pi*ln e = e*i*pi*ln e

1 = 3