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by H8crilA 1087 days ago
Also, π is the wrong constant. The very definition is awkward: the ratio of two radiuses to the circumference. How about one radius?

It is much more natural to work with 2π. Some people use the letter τ (Tau) to denote 2π, and it simplifies almost all naturally occurring expressions. For example, what is more elegant?

e^(π*i) = -1

e^(τ*i) = 1

5 comments

> t simplifies almost all naturally occurring expressions

basically the point of the Tau Manifesto: https://tauday.com/tau-manifesto

And would ya look at the date today... 6/28...

τ = 0, got it.
Well, I can say π := 3π, and -1 still works. The point is exp() is that 2π*i periodic.
The original post missed the i...
No, even with i one of the solutions is \tau = 0
Coincidentally, happy Tau Day! (6.28)
Not a coincidence :)
Lots of focus on the Greek letters, at the expense of an important Latin one, there. (-:
e^pi + 1 = 0, of course
e^i*tau = 1 is pretty elegant, too.
e^pi + 1 = 24.14069263...