Disjoint tuples left and right: a fuller picture
Extending the concept of disjoint tuples to the left allows to connect the two types of bridges series.
The figure below contains the calculation starting from m=1, 5 and 7 (black), using a single framework.
Parallels can be drawn between blue-green bridges and yellow keytuples series. If they do not merge in the end, the former keeps a series of blue pairs and the latter two yellow bridges series.
[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 30, 2025, 4:21 PM UTC
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