I was playing around with the Collatz conjecture and plotting random things when I came across this.
The x axis is the natural numbers and the y axis is the number of steps it takes for each number to reach one.
This looked interesting to me, I mean, there is definitely a pattern here, don't you agree? :)
Does this look similar to anything?
You asked if your plot looks similar to anything. The simple answer is that the plot is not new as similar ones can be found on Collatz conjecture Wikipedia page.
Your other question ask if anyone agrees that there is a pattern. Yes, I do agree there is a general pattern. The graph shows that at different depths on the Collatz tree with root 1, there are clusters of numbers whose distance apart is small; hence the appearance of dashed lines. Additionally, the curved downward patterns are an indication that some small natural numbers require more steps to reach 1 than the larger natural numbers that they ascend to before the trajectories descend.