[gerdesj]

Looking at the list of 10 equations.

For me 2,5,8,9,10 being simplified with Pi=3.141 is the best outcome, especially 5.

I'm definitely: e^{i \pi} + 1 = 0

[tonyarkles]

I agree with you on the absolute beauty of e^{i\pi}+1=0, but I think I would also see a different beauty in e^{ik\pi}=1 for all integer k (if we had \pi=6.28... instead)

[orangecat]

I would argue that #2 is better with tau; yes there's a factor of 1/2, but it should be there for the same reason that kinetic energy is 1/2mv*2 and distance traveled under constant acceleration is 1/2at*2. All of those are the result of integrating a linear function.

[yen223]

For all integers k, e^(i k\tau) = 1

This is way more beautiful to me than the pi version e^(i 2k\pi) = 1