Paper product having unique physical properties
A paper product having a plurality of tessellating unit cells forming a pattern is disclosed. Each unit cell has a center and at least two continuous land areas extending in at least two directions from the center and a plurality of pillow areas each surrounded by at least one of the continuous land areas. Each of the continuous land areas at least bifurcates to form a continuous land area portion having a first width before bifurcation and at least two continuous land area portions having a second width after bifurcation. The first width is greater than the second width. Each of the continuous land area portions having the first width has a first number density and each of the at least two continuous land area portions having the second width has a second number density. The first number density is less than the second number density.
1. A paper product comprising a pattern formed therein, said pattern comprising:
a plurality of tessellating unit cells;
wherein each cell of said plurality of unit cells comprises a center, at least two continuous pillow areas extending in at least two directions from said center, each pillow area comprising an un-densified fiber structure, and a plurality of land areas, each of said land areas being surrounded by at least one of said continuous pillow areas, each land area comprising a densified fiber structure;
wherein at least one of said continuous pillow areas at least bifurcates to form a continuous pillow area portion having a first width before said bifurcation and at least two continuous pillow area portions having a second width after said bifurcation, each of said at least two continuous pillow area portions having said second width being in contacting engagement with said continuous pillow area portion having said first width;
wherein said first width is greater than said second width;
wherein each of said continuous pillow area portions having said first width has a first number density within said cell;
wherein each of said at least two continuous pillow area portions having said second width has a second number density within said cell; and,
wherein said first number density is less than said second number density.
2. The paper product of claim 1 wherein said paper product has a residual water value, R W , of less than about 0.12 g.
3. The paper product of claim 2 wherein said paper product has a Slope of the Square Root of Time, SST, value of greater than about 1.31 g/sec 1/2 .
4. The paper product of claim 3 wherein said paper product has a Vertical Full Sheet, VFS, value of greater than about 8.08 g/g.
5. The paper product of claim 1 wherein said paper product has a residual water value, R W , of less than about 0.10 g.
6. The paper product of claim 5 wherein said paper product has a residual water value, R W , of less than about 0.08 g.
7. The paper product of claim 6 wherein said paper product has a residual water value, R W , of less than about 0.04 g.
8. The paper product of claim 1 wherein said paper product has a Slope of the Square Root of Time, SST, value greater than about 1.31 g/sec 1/2 .
9. The paper product of claim 8 wherein said paper product has a Vertical Full Sheet, VFS, value of greater than about 8.08 g/g.
10. The paper product of claim 1 wherein said paper product has a Vertical Full Sheet, VFS, value of greater than about 8.08 g/g.
11. A paper product comprising a pattern formed therein, said pattern comprising:
a plurality of tessellating unit cells;
wherein each cell of said plurality of unit cells comprises a center, at least two continuous land areas extending in at least two directions from said center, each land area comprising a densified fiber structure, and a plurality of pillow areas, each of said pillow areas being surrounded by at least one of said continuous land areas, each pillow area comprising an un-densified fiber structure;
wherein at least one of said continuous land areas at least bifurcates to form a continuous land area portion having a first width before said bifurcation and at least two continuous land area portions having a second width after said bifurcation, each of said at least two continuous land area portions having said second width being in contacting engagement with said continuous land area portion having said first width;
wherein said first width is greater than said second width;
wherein each of said continuous land area portions having said first width has a first number density within said cell;
wherein each of said at least two continuous land area portions having said second width has a second number density within said cell; and,
wherein said first number density is less than said second number density.
12. The paper product of claim 11 wherein said paper product has a residual water value, R W , of less than about 0.12 g.
13. The paper product of claim 12 wherein said paper product has a Slope of the Square Root of Time, SST, value of greater than about 1.31 g/sec 1/2 .
14. The paper product of claim 13 wherein said paper product has a Vertical Full Sheet, VFS, value of greater than about 8.08 g/g.
15. The paper product of claim 11 wherein said paper product has a residual water value, R W , of less than about 0.10 g.
16. The paper product of claim 15 wherein said paper product has a residual water value, R W , of less than about 0.08 g.
17. The paper product of claim 16 wherein said paper product has a residual water value, R W , of less than about 0.04 g.
18. The paper product of claim 11 wherein said paper product has a Slope of the Square Root of Time, SST, value of greater than about 1.31 g/sec 1/2 .
19. The paper product of claim 18 wherein said paper product has a Vertical Full Sheet, VFS, value of greater than about 8.08 g/g.
20. The paper product of claim 11 wherein said paper product has a Vertical Full Sheet, VFS, value of greater than about 8.08 g/g.