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  • Author Author: phoenixcomm
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Flight Simulator 101 or back to college - part 13: Two pi or not

phoenixcomm

Flight Simulator 101 or back to college - part 13: Two Pi or not

imageIf you look in the Wiki and look for pi or π you get this, image where C/d is constant, regardless of a circle's size. π and it is an irrational number and a transcendental number to boot.

Instead, according to The Tau Manifesto1, "pi is a confusing and unnatural choice for the circle constant." Far more relevant, according to the algebraic apostates, is 2π, aka tau or τ2

So basically, let us say you wanted a 1/8 of a pie, or π/8 nope sorry you only got π/16, remember pi is not the whole pie it is only half the pie, do you feel a little cheated? Having fun yet??

So here I will end my journey, and leave you with a little video that explains it better than I can.  And as a bonus, I tossed in figure 17 from The Tau Manifesto. -- Enjoy

 

image

Footnotes

  1. tauday.com/tau_manifesto.pdf
  2. Let's Use Tau--It's Easier Than Pi, Randyn Charles Bartholomew, 6.25.2014
  • in reply to michaelkellett

    michaelkellett, Micheal, did you even watch the film, or read the Manifesto? Math should be elegant. try and diagram a sine wave with traditional trig, (you will go blind, it's a real pain in ass) Now diagram a sine wave again using Tau. (hey now a two-year-old can do it without the damn trig!!!)

    BTW and I grew up with inches, feet, etc. Now I use metric measurements mm, cm, etc.  Groth is normal.  Galileo proved the earth revolves around the sun. The Church tried him for heresy.  Every few hundred years they look at it again. They still haven't said they were wrong. Don't be the Church!!. 

    Enjoy CH - may the Tau be with you. 

  • in reply to phoenixcomm

    I certainly don't get it.

    I was born in an era of pounds, shillings and pence,

    (or ounces, pounds, stones, hundred weight, tons, inches, feet, yards, miles (and optional furlongs))

    Minor issues like x2 are like water off a duck's back when you are used to variable base arithmetic.

    OK, Zc = 1 / (2.pi.f.c), we often use 2.pi.f and it gets called omega (represented by w)

    so we might write Zc = 1 / w.c, it really doesn't matter if w = 2.pi.f or tau.f

    But the big issue here is that changing from using pi to tau would be traumatic, next you'll be wanting to move to a 10 hour clock  - we'll need to bin every timepiece ever made but the new ones will be really elegant Smiling imp

    MK

  • in reply to dougw

    you get it Doug. nifty. Replace 2pi with Tau, and Trig becomes bearable. Hugging And Sine waves are so elegant now. 

  • in reply to michaelkellett

    michaelkellett, Michael, you don't get it. it takes 2pi to describe a circle, why? Tau does not take the place of pi. math is now simpler. Therefore if Tau == 2pi, things are simpler and easier to solve. for instance, I have some formulas that have 2pi all over, and removing them is hideous. replacing them with Tau would help a whole lot. 

    BTW solve:: 400hz sinewave normally and then with tau.. a 2-year-old now can do it. 

  • A baker's son was the first of his family to go to high school ( this was a while ago).

    After a few weeks the proud father asked him what he had learned that day and the boy replied "pi r squared".

    To which his father declared, "If that's the nonsense they are teaching in school you can stay home and help me from now on. Everyone knows that pies are round and bread is square !"

    Is "tau r squared over two" really so elegant ?

    MK