Half Tau Day is Fast Approaching!

Hello all! I hope you're all gearing up for τ2=π\frac{\tau}{2} = \pi day! I am a giant proponent of τ\tau, and you should be too. For those of you who don't know, τ=2π\tau = 2\pi. τ\tau is a much more natural circle constant, as a circle is, after all, defined by its radius, not its diameter. One can find an incredibly compelling argument for τ\tau in Michael Hartl's Tau Manifesto. I know I'll be spending Half Tau Day unwillingly participating in π\pi activities with my blissfully ignorant peers, who I will inevitably urge to join Brilliant and educate themselves about the marvels of τ\tau!

Have a safe and happy τ2\frac{\tau}{2} day!

Note by Ryan Tamburrino
4 years, 7 months ago

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1 vote

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I feel stupid for asking this but isn't π \pi day on 1414 March?

Siddhartha Srivastava - 4 years, 7 months ago

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Yeah! This π\pi day is special though, because it will be (in the American format of month/day/year) 3/14/153/14/15. τ\tau will have its revenge on 6/28/316/28/31!

Ryan Tamburrino - 4 years, 7 months ago

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To be honest they are equally valid, as π\pi is better in some situations and τ\tau is better in others. For example: circumference = τ\taur may be easier to deal but then you end up with an area of: τ2\frac{\tau}{2}r2r^{2}. You may also look at it from a trigonometry point of view... all the trigonometric functions repeat themselves every τ\tau radians, but then when proving that ζ\zeta(2) = π26\frac{\pi^2}{6} you need π\pito obtain: sin(x)x=n=1(1(nπx)2)\frac{sin(x)}{x} = \displaystyle\prod_{n=1}^{\infty} (1-(\frac{n\pi }{x})^2) and the argument continues....

Curtis Clement - 4 years, 7 months ago

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I will concede a few small victories to π\pi, including that one that you mentioned regarding the ζ\zeta function. However, if you look at the Tau Manifesto, Hartl shows that area of a circle with τ\tau follows other quadratic forms of other formulas from physics. So, that 12\frac{1}{2} out in front isn't quite as unnatural as it seems.

Ryan Tamburrino - 4 years, 7 months ago

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Maybe there ought to be a friendly Tau vs pi debate

Curtis Clement - 4 years, 7 months ago

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