Maybe a stupid question, but I couldn't find a direct answer. When looking at this beautiful visualization of the graph of inverse Collatz sequence:
https://www.jasondavies.com/collatz-graph/Collatz graph
one immediately see that the graph is symmetric around the central node, each branch having a counterpart opposite from the central node.
So I am wondering, is this just an illusion and it eventually breaks down? From what I know about the Collatz sequence I was definitely expecting some more random branching.
Thanks.