The Brick Stitch, also known as the Cheyenne Stitch or Comanche Stitch, is a bead weaving

Bead weaving

Bead weaving using seed beads can be done either on a loom or using one of a number of off-loom stitches.-On-loom beadweaving:thumb|355px|An old bead loom. 1. Roller. 2. Roller end. 3. Spacers. 4. Spacers....

 stitch

Stitch (textile arts)

In the textile arts, a stitch is a single turn or loop of thread or yarn. Stitches are the fundamental elements of sewing, knitting, embroidery, crochet, and needle lace-making, whether by hand or machine...

 with unknown origins in which individual beads are stacked upon each other much as brick

Brick

A brick is a block of ceramic material used in masonry construction, usually laid using various kinds of mortar. It has been regarded as one of the longest lasting and strongest building materials used throughout history.-History:...

s are stacked in a brick wall.

The technique has been used by Native Americans

Indigenous peoples of the Americas

The indigenous peoples of the Americas are the pre-Columbian inhabitants of North and South America, their descendants and other ethnic groups who are identified with those peoples. Indigenous peoples are known in Canada as Aboriginal peoples, and in the United States as Native Americans...

 for many years. It has also been found in beadwork in Africa, the Middle East, and South America (Guatemala

Guatemala

Guatemala is a country in Central America bordered by Mexico to the north and west, the Pacific Ocean to the southwest, Belize to the northeast, the Caribbean to the east, and Honduras and El Salvador to the southeast...

n examples use beads of size 22/0 and smaller.)

As the other names imply this is an off-loom

Loom

A loom is a device used to weave cloth. The basic purpose of any loom is to hold the warp threads under tension to facilitate the interweaving of the weft threads...

 technique perfected by the Native Americans. It is a relative of another off-loom technique called Peyote stitch

Peyote stitch

Peyote stitch, also known as Gourd stitch, is an off-loom bead weaving technique. Peyote stitch may be worked with either an even or an odd number of beads per row. Both even and odd count peyote pieces can be woven as flat strips, in a flat round shape, or as a tube...

or Gourd Stitch. A Brick Stitch pattern can be worked as a Peyote Stitch Pattern if you turn it 90 degrees.