The Brick Stitch, also known as the Cheyenne Stitch or Comanche Stitch, is a bead weavingstitch of unknown origin in which individual beads are stacked upon each other much as bricks are stacked in a brick wall.
The technique has been used by Native Americans and in Africa, the Middle East, and South America. Guatemalan examples use beads of size 22/0 and smaller. 
This is an off-loom technique perfected by the Native Americans. It is a relative of another off-loom technique called Peyote stitch or Gourd Stitch.  A Brick Stitch pattern can be worked as a Peyote Stitch Pattern if turned through 90 degrees.