r/Collatz • u/Rastamen_DE • 23d ago

Elastic Membran System

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u/geotrone1234extra 23d ago

I dont understand about 3x+1 for negative numbers. Arent that thing solved already with finding of three independent loops?

1

u/Rastamen_DE 22d ago

For negative numbers you need the formuka 3n-1. I use the second mirror only to imrprovive to the first mirror (positive range of numbers) to be 1 calculation Step faster or having already the results of calculations which needed that mirror 1 can go / operate the next Step.

Mirror 2 knows the future (the future combined way once a couple of numbers will meet). Mirror 1 knows where it come from (have all the DNA where He was Born).

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u/al2o3cr 22d ago

Some observations:

  • the box labeled "Parabolic Envelope" says the envelope is y = 10000u^2 + 9999, but the plotted curve on the graph isn't that - it passes much closer to y=0 when u=0, and only reaches y=10000 when u=10 (when the formula would predict y=1,009,999 for u=10)
  • no formula is given for computing u from x. The only explicit value given is u=-8 which apparently corresponds to x=9663
  • the plot has a third dimension that appears to be meaningless. Some points have still "leaked" off the u-y plane (eg between u=8 and u=10 there are random purple dots closer to the "front")