Concomitance of the rise of a sequence and the presence of the isolation mechanism
Follow-up to [The isolation mechanism in the Collatz procedure and its use to handle the "giraffe head" : r/Collatz](https://www.reddit.com/r/Collatz/comments/1jpcob7/the_isolation_mechanism_in_the_collatz_procedure/).
For me, the isolation mechnism was a way to handle partially blue walls on the right, by neutralizing even numbers in even triplets.
The figure below shows the longest case found so far, the coloring being related to the value of n.
The mecanism provides a regular alternance of even and odd numbers that are necessary for a quick rise of a sequence.
What happens after the final merge is unknown.
[Overview of the project (structured presentation of the posts with comments) : r/Collatz](https://www.reddit.com/r/Collatz/comments/1k98c5a/overview_of_the_project_structured_presentation/)
Posted May 7, 2025, 6:06 PM UTC