The brick-lay pattern, as far scalp coverage is concern, takes a huge leap ahead of the grid pattern. In this pattern the square sections are staggered, like the bricks in a brick wall (thus the name) so that the dreadlocks in each subsequent row fall between the row beneath them. However, I have found that there is still enough play with this pattern to end up with bald spots (although these spots are much less noticeable than those in the grid pattern).
This sectioning is completed one row at a time, like the grid pattern, by first carving off a single row starting at the nape of the neck. (Check out the page about section sizing to determine what section size to choose.) Ideally in this method you want each section to be equally wide as it is tall to keep it as aesthetically appealing and functional as possible. Then you carve off the second row, keeping the rows as parallel as possible. While still keeping the sections as square as possible, make it so that the edges of each row (going one at a time) fall as close to the center of the section below it (see photo at above right) as you are able while still keeping the sections approximately regular in size. Continue this process with each row.
Once you reach the crown of the head (this spans from the row that finished at the top of the temple and upwards to cover the entire top of the head), the section of hair remaining to be sectioned into smaller sections is generally ovular and you will want to carve your rows now from side to side (ear-to-ear) and continue to stagger the sections so that they fall in between the dreadlocks in the row beneath them as you did on the rest of the head. (See photo at above left. NOTE: This was a new set of dreadlocks that has rubberbands in it still, which is why the section lines are so visible. After a few weeks and when the rubberbands are removed the dreadlocks relaxed and the lines cannot be so easily seen.)