How multiple 5-tuples of the same group work together
Follow up to [5-tuples scale: some new discoveries : r/Collatz](https://www.reddit.com/r/Collatz/comments/1kpwo50/5tuples_scale_some_new_discoveries/)
In this post, the sequences of multiple 5-tuples were mentioned in order to define the scale. In parallel, related sequences of the form n*3^m*2^p were also presented.
The figure below presents an new example that relates these two sides with the partial tree that makes the connection:
- On the right, the sequences of two related multiples 5-tuples (first number only), that stop when they merge (base of the scale in grey).
- The center details these multiple 5-tuples and how they merge continuously. All tuples (pairs, triplets and 5-tuples) are in bold.
- On the left, the sequences of related numbers (n-2) of the form 83*3^m*2^p. The columns on the right correspond to diagonals on the left.
- The yellow color shows the vicinity (not always continuous) of many numbers (not repeated on the right).
[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 19, 2025, 6:05 PM UTC
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