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Tau--The Better Constant, Chess.com Mathematics League

τ is way, way better than π!

DM me the word frog for a surprise.

(If you hate math, just scroll past this. There is more stuff below this that is non-math.)

Tau (τ) is a mathematical constant approximately equal to 6.283. It is defined as the circumference of a circle divided by its radius, and is far more intuitive than π. 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. This makes τ far better for teaching students than π. Not only that, but 2π (Which equals τ) occurs far more often than π alone. Even when π occurs by itself in a formula or equation, it is the result of the simplification of τ/2 to π. A prime example of this is in the formula for the area of a circle. To derive the formula, you have to integrate circumference with respect to radius, which yields τr^2/2, only then can you simplify this formula into its more common form: πr^2. 2π occurs all over physics and mathematics; it is the period of a sine wave, the upper limit of theta integration over all space in polar coordinates, and it is the denominator of a fraction commonly denoted as h-bar, which is Plank's constant divided by... 2π! Using tau instead of pi would simplify many mathematical formulas. I cannot summarize all of the wonderful features of tau in this short paragraph, and my humble words fail to express the amazing superiority of τ when compared to π.

If you wish to learn more about tau, some links are provided below:

The countdown to Tau Day:

https://www.chess.com/forum/view/off-topic/countdown-to-tau-day

If you don’t have much time, this video explains the superiority of τ relatively quickly:

https://www.youtube.com/watch?v=PIhNNnW1tUo

This short(ish) article highlights why τ is better for teaching students:

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

This is the main founding document of the pro-τ, anti-π movement, it contains everything you may wish to know about tau:

https://www.tauday.com/tau-manifesto

This is the column that started it all, a short article by Bob Palais where he explains why tau (Which he represents as a three-legged pi symbol in his essay) is the true circle constant:

http://www.math.utah.edu/%7Epalais/pi.pdf

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Hello everyone on Chess.com! I am an avid young chess player who lives on Earth. I hope to one day be a National Master and have an OTB rating of 2300. Right now, I am very far away from that goal! I am in the improvers club and my goals are 1400 rapid by 2026, 2600 puzzles by 2026, and 1100 blitz by 2026. I also want to improve my bullet rating but I don't care about that one too much!

I SACRIFICED THE ROOOOK!!!

I KNOW 8 THINGS ABOUT YOU:

1. You are reading this
2. You are human
3. You can't say the letter "p" without separating your lips
4. You just attempted to do it
6. You are laughing at yourself
7. You have a smile on your face, and you skipped number 5.
8. You just checked to see if there was a number 5.
9. You laugh at this because you fell for it and everyone else did too
Now copy and paste this to see who else falls for it too 🙂

Bᴜʟʟʏɪɴɢ? Tʜɪɴᴋ ʏᴏᴜ'ʀᴇ sᴏ ᴄᴏᴏʟ? -Tʜᴇ ɢɪʀʟ ʏᴏᴜ ᴊᴜsᴛ ᴄᴀʟʟᴇᴅ ғᴀᴛ?... Sʜᴇ ɪs ᴏɴ A Diet. -Tʜᴇ ɢɪRʟ ʏᴏᴜ ᴊᴜsᴛ ᴄᴀʟʟᴇᴅ ᴜɢʟʏ?... Sʜᴇ sᴘᴇɴᴅs ʜᴏᴜʀs ᴘᴜᴛᴛɪɴɢ ᴍᴀᴋᴇᴜᴘ ᴏɴ ʜᴏᴘɪɴɢ ᴛʜᴀᴛ ᴘᴇᴏᴘʟᴇ ᴡɪʟʟ ʟɪᴋᴇ ʜᴇʀ. -Tʜᴇ ʙᴏʏ ʏᴏᴜ ᴛRɪPpEd Hᴇ ɪs ᴀʙᴜsᴇᴅ ᴇɴᴏᴜɢʜ ᴀᴛ ʜᴏᴍᴇ. -Sᴇᴇ ᴛʜᴀᴛ ᴍᴀɴ ᴡɪᴛʜ ᴛʜᴇ ᴜɢʟʏ sᴄᴀʀs?... Hᴇ ғᴏᴜɢʜᴛ ғᴏʀ ʜɪs ᴄᴏᴜɴᴛʀʏ. -Tʜᴀᴛ ɢᴜʏ ʏOᴜ ᴊᴜsᴛ ᴍᴀᴅᴇ ғᴜɴ ᴏғ ғᴏʀ ᴄʀʏɪɴɢ?... Hɪs ᴍᴏᴛʜᴇʀ ɪs ᴅʏɪɴɢ. -Tʜᴀᴛ ᴋɪᴅ ʏᴏᴜ ᴊᴜsᴛᴍᴀᴅᴇ ғᴜɴ ᴏғ ғᴏʀ ʙᴇɪɴɢ ʙᴀʟᴅ?...Hᴇ ʜᴀs ᴄᴀɴᴄᴇʀ. -Pᴜᴛ ᴛʜɪs ᴀs ʏᴏᴜʀ sᴛᴀᴛᴜs ɪғ ʏᴏᴜʀ ᴀɢᴀɪɴsᴛ ʙᴜʟʟʏɪɴɢ. I ʙᴇᴛ ᴍᴏsᴛ ᴏғ ʏᴏᴜ ᴡᴏɴᴛ ʀᴇ-ᴘᴏsᴛ , ʙᴜᴛ I'ᴍ sᴜʀᴇ ᴛʜᴇ ᴘᴇᴏᴘʟᴇ ᴡɪᴛʜ ᴀ ʜᴇᴀʀᴛ ᴡɪʟʟ.

I quoted this from @AGC-Gambit_YT (Who quoted it from @Dapper_King)

See that mystical and beautiful forest? It's full of trash. Do you see those beautiful Sumatran Tigers? (Sumatran tiger is my favourite tiger, but they are the rarest tigers) There are only fewer than 600 left... Do you know IMPERIAL AMAZON parrot? Search them, there are only about 50 Imperial Amazon Parrots left. Put this on your profile, if you care about nature. I bet 99% you won't post it. Also, put #ICareOfNature to your status. This is written by @tigerchess2022.

I cooked in this game.

Also, I really hate trolls, especially the kind that moves their king out in the opening during bullet games. DO NOT TROLL!!! But the best thing is when you get to defeat a troll, that is AWESOME!!! There was this one troll who played the wrongcloud against me, I showed him why that opening is... questionable. He played horribly, but I did too (He played worse though🤣).

TAKE THAT!!!🤣🤣🤣🤣

Like I said, I hate trolls. I do love rabbits though, that one in my profile picture, his name was Star, but he passed away a few years back.

Well, you made it this far, so thank you so much for caring. I thought I'd give you a little reward for reading this far. Here are some puzzles:

I hope you liked these puzzles. Thanks for reading!

crystal0192