Sequence of numbers hidden in this illustration | Mathematics | Page 1

little scroll Sep 23, 2022, 1:55 PM

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it is fibonacci related.

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https://oeis.org/A000045

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wdym by circle order

stark trout Sep 23, 2022, 1:58 PM

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little scroll wdym by circle order

I'll post an image 1 second

little scroll Sep 23, 2022, 1:59 PM

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oh. i see

stark trout Sep 23, 2022, 1:59 PM

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I tried following same logic with Fib but couldn't figure it out

little scroll Sep 23, 2022, 2:01 PM

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stark trout I tried following same logic with Fib but couldn't figure it out

can you tell me the algorithm you used to generate your set of circles

stark trout Sep 23, 2022, 2:02 PM

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little scroll can you tell me the algorithm you used to generate your set of circles

It's a pattern from the internet, couldn't find the same one anywhere else

little scroll Sep 23, 2022, 2:02 PM

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this is the pattern we're trying to trace, eh?

stark trout Sep 23, 2022, 2:03 PM

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Yeah, but I'm not sure which direction to flip it

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Or if it makes a difference

little scroll Sep 23, 2022, 2:03 PM

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let's try to maintain the pattern

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we'll see if it becomes a problem later

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hmm interesting

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1, 2, 2, 3, 2, 3, 3, 4

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kinda like this

stark trout Sep 23, 2022, 2:07 PM

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I was thinking it was doubles at first

little scroll Sep 23, 2022, 2:07 PM

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https://oeis.org/A059169

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hehe oeis spam

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ouuuu

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1, 2, 2, 3, 2, 3, 3, 4, 3, 4, 4, 5...

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1, 2, 3, 5, 8, ...

stark trout Sep 23, 2022, 2:10 PM

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but what would be the small balls

little scroll Sep 23, 2022, 2:11 PM

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little scroll this is the pattern we're trying to trace, eh?

all the balls here follow that pattern, dont they?

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or is that a different diagram

stark trout Sep 23, 2022, 2:12 PM

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after the 3 bigger circles I believe it's "1 - 2 - 2 - 3 "

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and just repeats

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i said those numbers in terms of size btw

little scroll Sep 23, 2022, 2:13 PM

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hmmm

stark trout Sep 23, 2022, 2:15 PM

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I believe it just loops after this

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but since supposedly there are smaller and smaller circles I'm not sure

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maybe it's just that i'm overthinking it

little scroll Sep 23, 2022, 2:20 PM

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stark trout maybe it's just that i'm overthinking it

it is that

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but after the 3 one there's another 2 one

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then two other 3 ones

stark trout Sep 23, 2022, 2:23 PM

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little scroll but after the 3 one there's another 2 one

thank you

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:P

stark trout Sep 23, 2022, 2:30 PM

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little scroll https://oeis.org/A059169

This website is amazing by the way thank you, I've never heard of it before :OO ❤️

little scroll Sep 23, 2022, 2:32 PM

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stark trout thank you

i might have miscalculated...

little scroll Sep 23, 2022, 2:53 PM

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yes i have

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its a really weird pattern

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basically you have to select 2^n - 1 consecutive subsets of {1, 2, 2, 3, 2, 3, 3, 4, 3, 4, 4, 5...}

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such that each subset has 2^n elements

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now that we have those subsets, we arrange them in the same way

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{S_1, S_2, S_2, S_3, S_2, S_3, S_3, S_4, ...}

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and now take sums of each pair of elements to get the second layer

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nevermind

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its something like this but this is wrong as well 😭

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I'll try this later

stark trout Sep 23, 2022, 4:16 PM

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apparently it's related to "The Doubling" theory, involving distances between planets etc, google it if you want it's kinda interesting(its like fake science or something). is there a way I can close this thread?

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thank you so much for your help btw

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little scroll Sep 23, 2022, 5:05 PM

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huhhh

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pretty cool

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I'll look into it, thanks :)

#Sequence of numbers hidden in this illustration