When did you realise that Pi should have been set up as the ratio of the radius and the circumference?

The idea is that Pi is the refinement of its previous given set of numbers. 3.14...they all add up to 10 digit after the decimal. From there another rhythm is used.

The 7+8, 9+10 = 100.
Then it’s like a type writer that has to be pushed back. You’ll realize Pi tries to find perfection and not 99.999999

Can you go into more detail with this? Because it sounds really interesting but I also have no idea at all what you're talking about with just those couple of sentences you've written so far. Like maybe expand on how exactly "they all add up to 10" with the specific numbers that add up written out. And also I don't get what "7+8, 9+10 = 100" means. I see 7+8 and think 15, and I see 9+10 and think 19, and neither of those things has anything to do with 100 as far as I can tell, so I could use some clarification there.

>being a pilet
>being a taulet
>not using the new and improved compromise pau
ugh...

Pidf pls go

One is an irrational number plus a numeral. The other is an irrational number. One is simpler. Why are you attached to pi?

So it doesn't matter? How about we start dividing all the constants by 17 and using 1/17(constant) for everything then scaling it back up after? That's retarded right? So is this

Math is a language, the language we use to describe it is malformed.

Why hasn’t this been changed?

>>/reddit/

Convention. It's not even like a "breaking change" so to speak, we can just start changing convention if we wanted to but people don't.

Tau is objectively superior, the only argument against it is "who cares, you're a brainlet if you care"

Science and math are supposed to be aesthetic and beautiful. Pi isn't, Tau is.

If you don't care about this, you don't care about math.

>One is an irrational number plus a numeral. The other is an irrational number.
?????????????????????????????????
Are you trying to claim pi isn't an irrational number? What the fuck are you even getting at here? There isn't anything inherently "simpler" about 2pi compared to pi, there are comparable arguments you can make for either one being more "natural," there is no absolute argument you can make that one is "right" and the other is "wrong."

Okay user let me deconstruct your argument. I say we start using 1/48959 pi as the official constant

...Explain to me how this is fine if you claim that "there is no absolute argument you can make that one is right and the other is wrong"

You're wrong, there is an argument. It's easy to communicate if we compress information in the way that is easiest to transmit between brains, either through spoken or written language. Objectively, if you wanted to express a bunch of mathematics in the form of formulas, the syntactic complexity of using pi over tau results in additional 2 and 1/2 constants strewn all over, increasing the compressed size of the text and increasing the amount of information units per equation that need to be processed by the brain to understand it

There is NO rational reason to be using pi over tau except for convention. Scientists and mathematicians pride themselves over moving forward and embracing reality and superior methods over tradition - why not do so here?

>You're a brainlet if you can't do all math with slide rules, we don't need computers
>You're a brainlet if you find it annoying to keep track of extra 1/2 and 2 constants on almost every single equation related to pi, we don't need tau

There is no competition here

it's just an irrational number there's lots of those

Only heard about this today, but I'm interested. What're the arguments for both sides?

It's completley irrelevant.

Are there really any downsides besides people not wanting to change? Tau = C/r sounds good to me, and it makes trig more intuitive.

No...
I’m saying that tau is easier to work with than 2pi (more intuitive, less to write)

I second this. Now that the topic has been raised, it's a bit odd that this has never been talked about before.

pi vs tau is a liberal arts tier argument

What? If you are serious then you don't understand trig.

Is there really a reason why we are using pi rather than tau? I understand that pi has a long and distinguished tradition, but really, tau seems like a good thing

It makes absolutley no diference. This thread is filled with reddit cancer.

No, really, what's the big deal? Are you low in trait openness? That's fine if you are, but I can tell you that his examples of replacing pi with its tau equivalent actually helped me understand those formulas better, which seems to be a common experience. The world isn't going to end if we use tau instead of pi. This is a safe place, user.

The definition of the geometric objects are completley independent of those constants. There's literally nothing to understand. The diference in computing time for a calculator is null, and if you are doing pure math you will never calculate it. I really don't care if we use tau or pi, but the point is that it will not afect math in any way.

Well, I guess I'd have to ask what makes something worth doing for you, as there have been several arguments put forward about the utility of tau when teaching maths, and simplifying our equations for trigonometry, particularly wrt special triangles. That seems like a good enough reason for me to use tau, so I'm not sure what the issue is. Like you said, the world doesn't change, but its an elegant little notational adjustment that could help some people, so let's make the change.

If you think changing from pi to tau makes you understand better trig and geometry in general then I'm completley sure you are not understanding shit, because the concepts themselves are independent of how you are measuring. They could divide the circle into 10000 parts and it still wouldn't make no difference at the conceptual level. For changing notation, that's completley sensitive to the problem you are solving and some formulas "look" better with pi or with tau, but that has nothing to do with math.

I was literally only referring to Euler's identity re: understanding things better. Perhaps it was because the idea of using e^(i*theta) as a rotation coefficient in the complex plane was never explained to me, but that really doesn't change the fact that people find tau easier and more intuitive. As someone studying applied math at uni, it is far easier to understand *why* sin(tau/2) = 1, because you don't have the extra '2' floating around from defining circumference as 2*pi*r instead of tau*r.

5/8 b8, got me to reply

>sin(tau/2)=1
You sure showed me there pal. What a brilliant intuition you have.

oh ffs, that should have been tau/4, you know what I bloody meant.

No, because your fucking explanation as to why it should be 1 makes no sense even with the correct value. Tell me, just what the fuck do you think a radian is?

Shit man, that’s awesome

if you believe the best contribution to the world you could possibly make is to redefine pi as pi/2, you ought to study more

In exponential calculus there is an advantage if you write pi with half a radius

We already had the solution to this debate by the end of the 19th century (I gather from OPs pic): write 2π/4 instead of π/2