Manufacturing method and system and associated rolls of sheets with alternating cuts and pre-cuts

1. A roll comprising a succession of sheets of single-use absorbent paper, the succession of sheets comprising:

a first sheet partially defined by:

a first in-line alternation of connecting regions and cuts; and

a cut arrangement partially defined by a first cut, a second cut, and a connecting region arranged between the first cut and the second cut, the first cut and the second cut extending a length greater than 50% of a width of the succession of sheets; and

a second sheet partially defined by:

the cut arrangement; and

a second in-line alternation of connecting regions and cuts;

wherein the first in-line alternation of connecting regions and cuts includes a first connecting region having a first length and a second connecting region having a second length, the first length is greater than the second length.

2. The roll of claim 1 , wherein the succession of sheets is partially defined by a first side and a second side, the first side parallel to the second side, and wherein the first cut of the cut arrangement intersects the first side.

3. The roll of claim 2 , wherein the second cut of the cut arrangement intersects the second side.

4. The roll of claim 2 , wherein the first cut of the cut arrangement is arranged substantially perpendicular to the first side and the second cut of the cut arrangement are arranged substantially perpendicular to the second side.

5. The roll of claim 1 , wherein the first in-line alternation of connecting regions and cuts includes a plurality of connecting regions and a plurality of cuts.

6. The roll of claim 1 , wherein the first in-line alternation of connecting regions and cuts includes a cut having length greater than a length of one of the connecting regions.

7. The roll of claim 1 , wherein the first in-line alternation of connecting regions and cuts includes a cut having length less than a length of one of the connecting regions.

8. The roll of claim 1 , wherein the first in-line alternation of connecting regions and cuts includes a first cut having a first length and a second cut having a second length, the first length is greater than the second length.

9. The roll of claim 1 , wherein the first in-line alternation of connecting regions and cuts is arranged substantially perpendicular to a roll-unwinding direction.

10. The roll of claim 1 , wherein the second in-line alternation of connecting regions and cuts includes a plurality of connecting regions and a plurality of cuts.

11. The roll of claim 1 , wherein the second in-line alternation of connecting regions and cuts includes a cut having length greater than a length of one of the connecting regions.

12. The roll of claim 1 , wherein the second in-line alternation of connecting regions and cuts includes a cut having length less than a length of one of the connecting regions.

13. The roll of claim 1 , wherein the second in-line alternation of connecting regions and cuts includes a first cut having a first length and a second cut having a second length, the first length is greater than the second length.

14. The roll of claim 1 , wherein the second in-line alternation of connecting regions and cuts includes a first connecting region having a first length and a second connecting region having a second length, the first length is greater than the second length.

15. The roll of claim 1 , wherein the first in-line alternation of connecting regions and cuts is arranged substantially perpendicular to a roll-unwinding direction.

16. The roll of claim 1 , further comprising a winding of at least two sheets superposed one on top of the other such that the cuts of one of the sheets are staggered lengthwise relative to the cuts of another immediately superposed sheet.