this post was submitted on 20 Aug 2023
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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?
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
Ahhh that's makes sense, thank you!
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.
You're thinking of the fourier series