Is this the way ranges of numbers are cut into tuples ?

Follow up to [Disjoint odd triplets II : r/CollatzProcedure](https://www.reddit.com/r/CollatzProcedure/comments/1og62z5/disjoint_odd_triplets_ii/).

This is an attempt to integrate disjoint odd triplets into ranges and see how it impacts the way these ranges are cut into tuples. Let n be an even number; if n+1 faces a wall, as a side of either series of blue-green even triplets or of series of yellow 5-tuples, then:

  • .n is likely part of another series of blue-green even triplets somewhere else in the tree (see triangles in the link at the bottom), ; the other case is less clear so far.
  • n+2 and n+3 are likely to form at least a pair, at the same length of 1 and to the right of n+1.

If n+1 does not face a wall, these numbers might form a 5-tuple with n+4.

[Updated overview of the project (structured presentation of the posts with comments) : r/Collatz](https://www.reddit.com/r/Collatz/comments/1mf41d3/updated_overview_of_the_project_structured/)

Posted Oct 26, 2025, 10:08 AM UTC

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