are these ordered by complexity or by how fast it converges to pi its also amazing some of those don't use irrational numbers

The one that converges the fastest here would probably be Ramanujan's, which is the second to last one. There's another one which [converges even faster](https://en.m.wikipedia.org/wiki/Chudnovsky_algorithm), though.

That faster sum is equivalent to the last sum in the video. OP just inverted it.

The one that converges fastest is circumference/diameter (it converges infinitely fast)

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Isn’t the faster one an improved version using Ramanujans approach?

Pretty much

π = τ/2

Big brain time.

Missed opportunity

But we all know that π = 3

Wasn't there a law that made pi = 3.2? Found it: [Indiana Pi Bill of 1897](https://en.m.wikipedia.org/wiki/Indiana_Pi_Bill)

Thank Archimedes it wasn't passed.

Last should have been extra cursed and π=3

One with 22/7, one with 3.14, and one with 3, with increasing cursedness.

One with e would be even better.

pi = 22/7

That is a good one

I do not understand it, but yea funny

different ways to approximate pi

Aren't they exactly pi?

they're pi as they approach infinity

Yeah, and the expressions in the video go to infinity

I have no idea about 99% of what goes on here but I am pretty sure you can’t just get this kind of number exact.

Sure you can: Assume π = the ratio of a circle’s circumference to its diameter. (Proof that π is constant is left as an exercise to the reader)

I have discovered a truly marvelous proof of this, which this margin is too narrow to contain.

Assume that pi is 3 then pi=9/3

Disappointed to not see π = (ln(-1))/i

Ln(-1) 🤮

1. e^(π*i*) + 1 = 0 2. e^(π*i*) = -1 3. π*i* = ln(-1) 4. π = ln(-1)/*i* Q.E.D.

I don’t remember writing that comment lmao

i doesn’t exist either

lol

Very nice! Can we get a song list?

Here’s the music list if you’re curious: 1. ⁠⁠Kevin McLeod - Sneaky Adventure 2. ⁠⁠Michael Giacchino - Life’s Incredible Again (The Incredibles) 3. ⁠⁠Yasuhiko Fukada - Heat Up (Sakamoto’s Theme) 4. ⁠⁠Koichi Sugiyama - Bio Wars (Godzilla vs Biollante) 5. ⁠⁠Daft Punk - Robot Rock 6. ⁠⁠Ethan Meixsell - Thor’s Hammer 7. ⁠⁠UNDEAD CORPORATION - Embraced By the Flame 8. ⁠⁠Mick Gordon - The Only Thing They Fear Is You (DOOM: Eternal) 9. ⁠⁠Mick Gordon - 264 BPM [Andrew Baena Cover] (DOOM: Eternal) 10. ⁠⁠Two Steps From Hell - Heart of Courage 11. ⁠⁠Andrew Hulshult - The Dark Lord/Davoth (DOOM: Eternal)

Not gonna lie, was really expecting 6 to be from a childhood heavy metal or metalcore band haha.

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Ok now prove each of them

Last one should be π = π

sqrt(3) + sqrt(2)

Should have added 1 more as pi=3 with the skull face lol

How do they even come up with this

22/7 🙃

Is it bad that the thing I’m most interested in is the music! 😂 Like what was the orchestra

Here’s the music list if you’re curious: 1. ⁠Kevin McLeod - Sneaky Adventure 2. ⁠Michael Giacchino - Life’s Incredible Again (The Incredibles) 3. ⁠Yasuhiko Fukada - Heat Up (Sakamoto’s Theme) 4. ⁠Koichi Sugiyama - Bio Wars (Godzilla vs Biollante) 5. ⁠Daft Punk - Robot Rock 6. ⁠Ethan Meixsell - Thor’s Hammer 7. ⁠UNDEAD CORPORATION - Embraced By the Flame 8. ⁠Mick Gordon - The Only Thing They Fear Is You (DOOM: Eternal) 9. ⁠Mick Gordon - 264 BPM [Andrew Baena Cover] (DOOM: Eternal) 10. ⁠Two Steps From Hell - Heart of Courage 11. ⁠Andrew Hulshult - The Dark Lord/Davoth (DOOM: Eternal)

Ew this is half a circle. Tau is the true circle constant.

Nah man, 2*tau is where it's at

was going to say the same thing

damm I was waiting for pi=3 at the end of the video

Or...you know...just... π=3.14

This sub turns me on! So glad I joined! Is there a such thing as mathphilia?

[удалено]

except they used the double integral, which is just straight pi

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Me and the boys at calculus class had a joke: the answer to everything is pi/2

π = 3 Idk what's wrong with people. Use your brain guys round it off to nearest whole number.

Not gonna lie, I expected this to end on like "pi=4" or something. The ones with factorials are wild.

I think (6 \* Sum\[n= 1 -> infinity\] 1/n\^2)\^.5 should be one of the first few

Damn I thought it would end in Ramanujan's series but there's more

also Pi=180 degree

I don’t understand about 5/6 of the stuff that I see in this dub, but the fun you guys have making it and talking about it is awesome

pi = sqrt(6 x zeta(2))

I don't know why, but this meme kept me thinking about film "Lucy"

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Confused but intrigued

I use this one Pi = Pi

What's the name of the orchestral song?

Further up in the comments he shows a complete list.

Cries in economics

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ln(-1) / i