Telescoping and permutations

This article requires the preliminary reading of the article Polyvalence then the article  Harmoniques et multi télescopages

In these articles we have seen the importance of permutations for high performance telescoping construction.

This article aims to study the permutations on 16 shafts to determine the most interesting for weaving.

In particular the permutations Q that can be used several times to enlarge by telescoping the repeat of a threading on initial 4 of the type :

    |       A       |    Q o A     |  Q2 o A   | ... |  Qn o A   |


This will allow us to build an initial 4 threading with a repeat of several hundred threads, allowing the production of any linear graphics.


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