This has been an ongoing debate. Tau is just double Pi. There is no real advantage to it. You can use either or and get equations done the same.
Um, how does tau work when making formula for calculating the surface areas and volumes of 3 dimensional objects?
Its been over a decade since I was last studying maths, but it seems like those formula get needlessly complex if you write them in tau, sure it makes circumferences simpler to write, but after that. . .
Can someone show me what they would be, as for some reason this video just struck me as really dumb. But thats 100% guaranteed to be me being dumb lol.
Like he said, people have been arguing for tau for a while now. I just find the argument kind of silly. I was never annoyed by the fact that there are 2Pi radians in a circle. I think he overestimates how confusing of a concept that is.
The only reasonable option for the inclusion of tau would be including it as accessory to Pi. But even that just seems to complicate things. If it really bothers some teachers they should just define tau at the beginning of class.
Let's extend the idea...
quarter = pi/2
pacman = 3pi/2
EDIT: fixed the pacman
Last edited by Elim Garak; 2012-11-10 at 02:08 PM.
what does this do for metrics of a cone or cylinder? I mean, don't they use Pi in there as well?
Taking a break until the next REAL content appears.
DAMN YOU WOW TOKEN! (weird thing is: I didn't even buy a token. I bought for 6 months at once using cold hard cash, weirdly enough...
nzall: it's simple, just replace pi with (1/2)*tau everywhere.
I find all this to be rather nonsensical. From the mathematical perspective, pi is clearly a more 'important' number than 2pi, simply because of the Euler's identity (http://en.wikipedia.org/wiki/Euler%27s_identity)
He is wrong. Maybe if this was done at an early stage he would be right but he would actually add complexity since you would have to teach about tau then later teach about the relationship of tau and pi so people could use bodys of work that pre-date the use of tau. Then there would be a mix between people using pi and people using tau during a transitional phase so all published papers would be some mix until we finally reached the point of using tau. Its just a pointless rant he is having really.
I can get behind the idea of still using 2pi in physics because there it doesn't have any real structure behind it as it has when it comes to radians, in formulas it's simply 2pi and there's that. 2pi in radians are just stupid, though.
pi = 180.
pi/2 = 90.
270 = 3 * 90 = 3pi/2.
Now do that with tau, starting at:
tau = 360.
tau/4 = 90
270 = 90 * 3 = 3tau/4
btw, tau is radians too.
The radians/degree conversion is simple. angle in radians = angel in degrees * pi/180 = angle in degrees * tau/360
The original idea might be good but on a trivial complexity like 2*pi instead of tau? There are orther artefacts, where removing them would make teaching simpler: Speaking numbers in German and French (89=neunundachzig=quatre-vingt-dix-neuf, one is switched places and the other 4*20+19). USA and their archaic Imperial measure system, dodecimal would also be more practical than decimal etc...