Series of even triplets and series of 5.tuples follow a similar pattern

This post presents a brief chronology of how series of tuples were found and understood:

• Final and reliminary pairs*, even and odd triplets*, and the 5-tuples*.
• Triangles*, connecting series of preliminary pairs and their specific role facing the walls*.
• Congruent tuples use of one of three sets of segments*, depending on their modulo.
• Series of preliminary pairs alternate with even triplets, forming series pf even triplets* (and preliminary pairs).
• Series of 5-tuples* alternate with odd triplets, starting with two sets of segments and going on with the third.
• Differenciation among the even triplets that are parts of series of even triplets, appearing every second iteration, from those embedded in a 5-tuple, appearing every third iteration.

Now, we can say that series of even triplets* can only start with two sets of segments, then go on using the third set, in a similar way as the series of 5-tuples.

Some time is needed to provide all details.

[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/)