Comment on The pi is a lie… Happy Half Tau Day!parentComments−tspiteri15y> bah e^(0.5τi)+1=0nah e^(τi)=1−tybris15yWell darn, that looks even nicer.−pixcavator15yIt's not as good! You can get it from the original formula easily, but not vice versa.−waterhouse15yYou can get both formulas from this one: e^(0.25τ) = i but that doesn't make it a better formula. Or if it did, then the following formula would be infinitely superior to all of the above (and it doesn't directly mention either π or τ): e^(ix) = cos x + i*sin x−pixcavator15yYes and yes. A formula is better if it reveals more of the math behind it, in a compact form.
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> bah e^(0.5τi)+1=0
nah e^(τi)=1
Well darn, that looks even nicer.
It's not as good! You can get it from the original formula easily, but not vice versa.
You can get both formulas from this one:
but that doesn't make it a better formula. Or if it did, then the following formula would be infinitely superior to all of the above (and it doesn't directly mention either π or τ):Yes and yes. A formula is better if it reveals more of the math behind it, in a compact form.