599
submitted 10 months ago by Gnorv@feddit.de to c/lemmyshitpost@lemmy.world
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[-] harry315@feddit.de 48 points 10 months ago

It's a post I'm too stupid to fully understand, yet I know too much to not comprehend the gist

shit

[-] lasagna@programming.dev 27 points 10 months ago

It's a sum with n from 1 to infinity. The first value with n=1 is 3/4, with n=2 it's 3/16. And if you keep adding those terms as n goes to infinity it approaches 1 but never gets there.

Then if you look back at the meme, you could zoom in for infinity and always find a smaller square.

[-] rustydrd@sh.itjust.works 22 points 10 months ago

An additional part of the joke is that showing this through the area of a square is a geometric proof that this series converges the way it does.

[-] Zeshade@lemmy.world 9 points 10 months ago

Rather than algebraically. Feels like we're all converging towards explaining the joke but never quite fully get there.

[-] harry315@feddit.de 4 points 10 months ago

Oof, I've heard this somewhere before. Thanks for the explanation!

[-] dadGPT@lemmy.world 6 points 10 months ago

simply put its memeception

[-] harry315@feddit.de 1 points 10 months ago

so you mean, it's a meme inside a meme, right?

[-] goddard_guryon@sopuli.xyz 23 points 10 months ago* (last edited 10 months ago)

That's some high IQ usage of a meme. Lemme see if I'm getting this right:

  • the total area of the image ( = RHS of the equation) is 1
  • you divide the image into 4 parts so that the area of 1 part is is 1/4 ( = 1/2^(2*1)). You take the first three quarters and leave the fourth quarter for recursion (I'll call it x1). That gives you 3(1/4) + x1 = 1
  • now you take x1 and do the same with it. This time, the area of each sub-quarter is 1/16 ( = 1/2^(2*2)). Three such sub-quarters and a leftover x2 gives you 3(1/16) + x2 = x1. Put this back into the first equation to get 3(1/4 + 1/16) + x2 = 1.
  • repeat until infinity; each time the area of the resulting tile is 1/4 of the previous tile (which is the 2n in the exponent part)

Edit: imma remove all markdown since it doesn't seem to work, at least on liftoff. Enjoy the lisp-like mess

[-] PorthosAteMyCheese@startrek.website 14 points 10 months ago
[-] vzq@lemmy.blahaj.zone 13 points 10 months ago

Top tier shit post. I love it.

[-] S3verin@slrpnk.net 9 points 10 months ago
[-] pancakes@sh.itjust.works 3 points 10 months ago

I'm no mathematician but isn't the number to the left of big sigma supposed to be 4, to show it's a series of 4?

[-] senoro@lemmy.ml 15 points 10 months ago

I’m pretty sure it’s 3. I think the proof works by taking a 1 x 1 square and splitting into quarters (1/4 = 1/2^2). So we say we have 3 full quarters and then 1 remaining quarter which we then split up again. And if you keep doing that you will fill in the full square. 3/4 + 3/16 + 3/64 and so on

[-] pancakes@sh.itjust.works 4 points 10 months ago

Ahhh that's makes sense, thank you!

[-] Kazumara@feddit.de 7 points 10 months ago* (last edited 10 months ago)

No, it's a normal multiplication by 3, and it makes sense.

3 times the sum expands to: 3 * 1/4 + 3 * 1/16 + 3 * 1/64 + 3 * 1/256 + ....

Which is essentially what the picture shows: The main meme is three quarters filled with whole pictures, the fourth quarter being the inset of the sub meme, which is made up of three sixteenths of whole pictures and the fourth sixteenth is made up of the next layer of inset meme etc.

[-] Gustephan@lemmy.world 1 points 10 months ago

You're thinking of the fourier series

this post was submitted on 20 Aug 2023
599 points (97.3% liked)

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