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pokerfan

(27,677 posts)
Fri Jun 28, 2013, 02:11 PM Jun 2013

Happy Tau Day, everyone!



One of the major contributions Archimedes made to mathematics was his method for approximating the value of Pi, the ratio of the circumference of a circle to its diameter. There is now an online movement to celebrate Tau, the number you get when you use a circle's radius instead. Tau is approximately 6.28, instead of the familiar constant Pi, which is 3.14. There is much opinion and controversy surrounding this new movement.

http://www.mathgoodies.com/articles/Tau_Day.html
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Happy Tau Day, everyone! (Original Post) pokerfan Jun 2013 OP
Pi rules... PoliticAverse Jun 2013 #1
Euler's Identity would still exist pokerfan Jun 2013 #2
I'm not so sure that getting old in mke Jun 2013 #3
Might as well post it here. longship Jun 2013 #4
Really there's no reason not to use Pi and Tau, whichever ever makes things simpler... n/t PoliticAverse Jun 2013 #5
It makes things more clear pokerfan Jun 2013 #6
I agree with it. napoleon_in_rags Jun 2013 #7

pokerfan

(27,677 posts)
2. Euler's Identity would still exist
Fri Jun 28, 2013, 03:03 PM
Jun 2013

[center]
ei? = 1

The complex exponential of the circle constant is unity. A rotation by one turn is 1.
[/center]

Best of all, it's more illuminating as the constants are consistent. We measure angles in radians which are based on the radius. Why, then, use a constant based on the diameter?

getting old in mke

(813 posts)
3. I'm not so sure that
Fri Jun 28, 2013, 03:04 PM
Jun 2013

e ^ {i pi} + 1 = 0

is any prettier than

e ^ {i tau} = 1

AND who doesn't like double pi(e)?

longship

(40,416 posts)
4. Might as well post it here.
Fri Jun 28, 2013, 03:09 PM
Jun 2013


Concerning Euler's formula, Richard Feynman long believed it one of the most important. As does mathematician Ian Stewart.

But as a degrees physics major, I have to cast my lot with Tau. It simplifies quite a few physics formulae, including Euler's.


pokerfan

(27,677 posts)
6. It makes things more clear
Fri Jun 28, 2013, 05:03 PM
Jun 2013

As an engineer, having to deal with 2pi cropping up whenever a single complete circle is described just obfuscates things. 1 tau = 1 rotation. Simple and clear.

napoleon_in_rags

(3,991 posts)
7. I agree with it.
Fri Jun 28, 2013, 05:16 PM
Jun 2013

I have been messing around with waves and transforms, and you have to plug 2*pi into EVERYTHING. Think of how natural it would be to think of radians. tau/2 = 180 degrees, tau/4 is 90 degrees, etc. Tau really is the natural version. We think of pi as the "perimeter of a circle". yet the perimeter of the unit circle is 2*pi. That's stupid, always has been. When we teach kids the perimeter of circle, it should be the unit circle, so their ready down the road for trig.

Latest Discussions»Culture Forums»Science»Happy Tau Day, everyone!