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π is a false constant, you should store data in τ instead #52

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rongi opened this issue Mar 16, 2018 · 11 comments
Open

π is a false constant, you should store data in τ instead #52

rongi opened this issue Mar 16, 2018 · 11 comments

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@rongi
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rongi commented Mar 16, 2018

https://tauday.com/tau-manifesto

@rexdf
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rexdf commented Mar 17, 2018

It's just like folk scientist who is learning by oneself. The radius or diameter do not matter.

How about area of circle?

How about exp{i*pi}+1=0 ?

How about use one pi as natural number 1? The normal natural number 1 is one/pi marked as a symbol.

@rongi
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rongi commented Mar 17, 2018

@rexdf

How about area of circle?

Area of circle is an integral over a linear function. 1/2 is natural and expected in such expressions. Kinetic energy:

screen shot 2018-03-17 at 10 53 33

Familiar, righ? Now, Area of circle:

screen shot 2018-03-17 at 10 53 49

How about exp{i*pi}+1=0 ?

Of course Euler identity also makes more sense with τ:

screen shot 2018-03-17 at 11 10 24

@rexdf
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rexdf commented Mar 17, 2018

Ok. That's something interesting.

If we donot consider issues from history, there will be something different.

After a few google searching, I find http://thepimanifesto.com/

τ=2π π=1/2τ Who cares which is better?

@rexdf
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rexdf commented Mar 17, 2018

https://www.youtube.com/watch?v=bcPTiiiYDs8

@booch
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booch commented Mar 19, 2018

@rexdf asked:

How about exp{i*pi}+1=0 ?

Using tau, you get: exp{i*tau/2}+1=0. Now you've got the 3rd-most interesting integer involved as well. That makes the equation more interesting, not less.

Or you get: exp{i*tau}=-1, which is actually simpler than the pi form. So take your pick -- simpler, or more interesting.

@rexdf
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rexdf commented Mar 20, 2018

@booch exp{i*tau/2} has a fraction. I thought that exp{i*pi}=-1 and exp{i*2*pi}=(-1)*(-1)=1 is better.At least it is not worse than tau. It is just a symbol and matter nothing at all.

@rexdf
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rexdf commented Mar 20, 2018

tau should be for 3.14... and pi for 6.28... because of the # of legs

@hanss314
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I think we can find a middle ground and use pau. 1.5pi

@phil-davis
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Make it flexible, allow the user to choose a normal-irrational constant, from a list of known constants, or to specify a callable function that generates digits of some constant. Then you get encryption for free - to retrieve the data from the metadata you have to know what normal-irrational constant was used.
:)

@Heath123
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Heath123 commented Nov 5, 2021

I think we can find a middle ground and use pau. 1.5pi

https://xkcd.com/1292/

@cauerego
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cauerego commented Jan 7, 2022

i would rather call pau pizza.

but pau sounds specially funny in portuguese...

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