Disjoint tuples: generating a case from scratch II

Follow up to [Disjoint tuples: generating a case from scratch : r/CollatzProcedure](https://www.reddit.com/r/CollatzProcedure/comments/1oobo0i/disjoint_tuples_generating_a_case_from_scratch/).

This is the case for m=23. I started it before the procedure presented in the post mentioned above, and I did it wrong.

I take it back now and it shows the soundness of the procedure.

Moreover, I took it further by going a little bit upwards. It shows that;

  • In each pair of series, the left one starts with a a rosa bridge and the right one by a blue-green bridge. They form a keytuple or not.
  • The bridge above a blue bridge on the right series seem to alternate from yellow to blue-green to rosa and only the latter forms a keytuple, and the series ends with a rosa bridge. In the other cases, the yellow bridge series on the left ends with a rosa "half a bridge". This needs to be confirmed.
  • We left the briges "in the middle right" as a base for further analysis.

https://preview.redd.it/42ov3jcw5h1g1.jpg?width=1600&format=pjpg&auto=webp&s=fba1bcef2c2d497f367006243394f179eaae6cd9

[Updated overview of the project “Tuples and segments” II : r/Collatz](https://www.reddit.com/r/Collatz/comments/1ovicsc/updated_overview_of_the_project_tuples_and/)

Posted Nov 15, 2025, 8:00 PM UTC

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