this post was submitted on 29 Jul 2023
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At some people you will run out of people to tie to the tracks.
How many branches is that going to take? Just out of interest.
Only 32
math checks out. log2(8 billion) ~= 32.9
It's a little more complicated than that. You have to be summing everyone who is still tied to all the previous tracks. It needs to be a geometric sum formula.
It'll just be one fewer junctions. 2^n is always one more than the sum of 2^1+...2^(n-1)
I think you have to include 2^0 for that to be true?
e.g 2^0 = 1, 2^1 = 2 2^0 + 2^1 = 1 + 2 = 3, 2^2 = 4 … 7, 8 15,16 31, 32 etc.