By "planting on a grid" I mean that I measure where to put each plant, and I plant perpendicular rows of plants. So when cultivating, I run the cultivator through the patch in the East/West direction, then I run it through the patch in the North/South direction. I typically space rows in one direction just wider than my cultivator at 30" to 36", and I space the rows in the perpendicular direction at 6 feet so that I can walk through easily when the plants are mature.
This is what it looks like in the field:
