COUNTDOWN TO TAU DAY!!!

Tau Day is getting closer! STOP USING π RIGHT NOW. π causes many problems for students learning advanced math around the world. τ solves these problems. Tau makes trigonometry and calculus easier for students to learn. It is vital that we switch from π to τ as soon as possible.

Days until Tau Day (6/28):

14

Link of the day:

https://www.tauday.com/a-tau-testimonial 

Enjoy this article, it highlights the importance of switching to tau.

τ4ever

isnt tau literally just 2π?

how does that make it so much better than π

I made a club about tau. There is also the Tau Manifesto which provides all the information you will need about tau.

Only 13 days until tau day! Tau naturally appears from the angle measure system called radians, in which the angle theta (Θ) is defined as the length of the arc (a) divided by radius (r). When you take the angle measure of a full circle, you divide circumference by radius, yielding tau. This means that the "Special Angles" like π/2 (a quarter of a circle) or 3π/2 (three quarters of a circle) no longer require memorization, because all you have to do to get the radian measure of the arc of a circle is take the fraction of the circle that the arc traces out, and multiply it by τ (e.g. 1/4 circle is τ/4, two thirds circle is 2τ/3), and this makes radians much much simpler. Tau is a better number because it relates a circle's circumference directly to its radius, and since a circle is defined by its radius, tau is the more natural constant.

Days Until Tau Day:

13

Links of the Day:

https://www.youtube.com/shorts/lX1kykIJfK8

τ4ever

As Tau Day continues to near, we must remind ourselves of the mistakes of the past; pi. Pi is a geometrically illogical constant because, as you likely know, the diameter of a circle has no real geometric significance. Pi is an unnatural constant which does not easily arise out of geometry. Tau, on the other hand, naturally appears from the radian angle measure system, making it a natural and logical circle constant. Another big mistake is one that most τists are guilty of: advertising tau as equal to two pi. While, numerically, it is, saying "Tau equals two pi" makes people new to tau not understand its significance. Pi alone only occurs in formulas through the division of tau by two. In the formula for area of a circle, for example, integrating circumference with respect to diameter yields (1/2)τr^2, only then can you simplify to get pi r squared. So, to correct this mistake, whenever you introduce tau to someone, say "Tau is equal to circumference divided by radius, which means that (1/2)τ equals pi". Tau is simply superior to pi in every respect.

Days until Tau Day:

12

Link of the day:

https://www.tauday.com/a-parable

This parable about tau provides a great analogy of how using pi instead of tau is like using a thine (which is the time between equinoxes, or a half of a year) instead of a year.

τ4ever

Good question @ChessWolf615, tao is just 2pi however pi could also be seen as tao/2. So both have equal claim to be the fundamental constant.

Arguments for Tao:

Because radius is more significant than diameter, we should use the ratio between the radius and circumference instead

Sine waves and other cycles repeat after 2pi which is confusing, it is better that 1 tao is equal to 1 rotation.

Arguments for Pi:

1) It has a historical claim

2) it makes the circumference formula look neater

3) In engineering, the diameter is more important than the radius because of tolerances

as for point #2, that is not true, because the circumference formula with tau is C=τr.

Tau Day continues to approach! Today I will provide a rebuttal to a very common argument against tau; the formula for the area of a circle. We all know the famous πr^2, but, when we use tau (remember, π = (½)τ), the formula becomes (½)τr^2, the opponents of tau often argue that this key feature makes tau inferior to pi. However, this argument is flawed. To see why, we must revisit how the formula is derived. Let the function that takes as input radius r, and outputs circumference C, be defined such that C(r) = 2πr, which can be simplified to C(r) = τr. Now, to find the area of a circle with radius r, we must integrate C(r) with respect to r. This yields (Through application of the power rule), (½)τr^2, only now can we simplify to get πr^2. This example clearly shows that even when π appears alone in a formula, it still comes from τ. Also, since π = C/D, then we can plug in C/D for pi in our formula: A=(C/D)r^2, but, to maintain consistency, we must replace r with (½)D, which makes the final formula (after re-substituting pi for C/D), A=(¼)πD^2, we have to use this formula, since pi is defined in terms of diameter, this is more consistent with how pi is defined. Therefore, this argument against tau has a clear and easy rebuttal.

Days until Tau Day:
11

Link of The Day:
https://www.youtube.com/watch?v=k7MuXCOlE6M&t=1476s  
Enjoy this short part of this long talk on tau.

τ4ever

To continue yesterday's rant about the area of a circle, I will talk about getting the area directly from the circumference, and here is how it is possible: We know that the area of a circle is (1/2)τr^2, but what is the radius? Well, the radius is just the circumference divided by τ, so we can substitute (C/τ) for r. What we get then is A=(1/2)τ(C/τ)^2. This seems super messy, but I will clean it up in a second. To do this, we simplify (C/τ)^2 into [(C^2)/(τ^2)], but the τ^2 in the denominator cancels with the tau that is multiplying that fraction. and then we distribute the (1/2) to get A=(C^2)/(2τ). Both the calculation to get this equation and the final result are simpler using tau instead of pi. This is yet another rebuttal to the claim that tau makes circular area more complicates. TAU FOR THE WIN!!!

Days until tau day:

10

Link of the day:

https://www.scientificamerican.com/article/let-s-use-tau-it-s-easier-than-pi/

Enjoy this short read about tau.

τ4ever

As Tau Day nears, it is important to address a common argument against tau: Euler’s Identity. This identity states that (e^i*π) + 1 = 0. Many claim that this identity is the most beautiful equation ever, but they are wrong. Euler’s Identity arises form Euler’s Formula, which states that e^i*Θ=cos(Θ)+i*sin(Θ). When evaluated at Θ = τ, we get e^i*τ=1. This equation means that a rotation by tau is a multiplication by one. Which makes sense, because rotating by tau gets you right back where you started. However, the rearranged version of Euler’s Identity with π loses its geometric meaning, so the tau version of Euler's Identity is better and more elegant.
Days until tau day:
9
Link of the day:
https://www.youtube.com/watch?v=pnfegKwKawo

τ4ever

I will not be here the next few days so I will post the links of the days now:
8 Days until tau day:
https://www.khanacademy.org/math/trigonometry/unit-circle-trig-func/long-live-tau/v/tau-versus-pi

7 Days until tau day:
https://www.livescience.com/55209-tau-is-better-than-pi.html

6 days until tau day:
https://www.mathnasium.com/blog/tau-constant-better-pi