The Most Beautiful Equation in Mathematics, is about to get ugly. |

**Interestingly (or not, given the whole 'beauty is in the eye of the beholder" thing), I ran into this as being useful in reading J. Richard Gott and Robert J. Vanderbei's Sizing Up The Universe, which I consider to be the most beautiful book of 2010, and in Fourier Analysis. But enough of that ....**

Click on http://tauday.com/ to see the alleged "reasoning" about this totally unprovoked assault.

Sure, but look what that would do to Euler's Equation (pictured on the ring above, in original pure form). Won't be so pretty if "TAU" is adopted, hmm?

As I wrote at Facebook:

It would certainly make Euler's Equation, generally considered the most beautiful equation in Mathematics, more interesting. Remove pi, replace with tau/2. Messier, though. Less elegant. Ew. So instead of having e, pi, i, 0, 1 and the operators +, x, =, and exponentiation, we would have e, tau, i, 0, 1, 2, and the operators +,x, /, =, and exponentiation. I dunno, can't we work subtraction in there somewhere? Oh, right, subtract one from both sides. But then it's not the tightest, and you lose addition! Arghh! Math Jokes <=== if you understand them, you probably don't have any friends. ;-) I'll stick with 1+e^(i(pi))=0, thanks.

## 3 comments:

Hi Steven--we're tickled that you used our ring to illustrate your blog but could you please let people know where they can get the ring -- with any formula they choose! www.titaniumringsforever.com Thanks,

Chris and Sandy Boothe

e^(i*pi) + 1 = 0 is nice, but...

how about

e^(i*tau) = 1

?

It's very elegant, connecting e, i, tau, and 1. Also, it shows nicely the periodicity of certain complex expressions. Consider:

e^0 = 1

e^(i*tau) = 1

e^(i*2*tau) = 1

e^(i*k*tau) = 1, where k is any integer

... etc

Yes, there's no zero in there, but it's still beautiful. Besides, in the original e^(i * pi) + 1 = 0,

the 0 is tacked on, anyway. A simpler way to write the expression would be:

e^(i * pi) = -1

To me,

e^(i * pi) = -1

and

e^(i * tau) = 1

Are equally beautiful

Well reasoned Anton.

IMHO,I dont find the controversy between pi and tau to be having much merit. Its a scalar multiplication after all and unless they have some really strong reason to use tau,its really a matter of convenience.

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