The 11 Most Beautiful Mathematical Equations

[pokerfan]

3. It's even more beautiful when expressed using tau

What makes it kind of a kludge is what it's actually describing, i.e. that one ? is only one half a turn so you need to add 1 to get back to zero:

[center]
e ^i? + 1 = 0[/center]

e ^i? is the curved arrow leading to -1 on the horizontal axis.
+1 is the vector leading you from -1 back to 0.

But using a circle constant based upon radius, ?, one can use Euler to now describe one complete turn of the circle returning back to 1.

[center]
e ^i? = 1[/center]

1 tau is 1 turn, not half a turn. Easy and intuitive. Math should illuminate, not obfuscate.

http://tauday.com/