This is the instruction on bead netting technique or some times called the Mexican Lace (horizontal netting), lattice and mesh stitch (usually vertical).

Bead Netting

Bead netting can be traced back to Egyptian artifacts, New Kingdom, 664-525B.C. and the origin is probably much older. Bead netting can form many shapes using variations of basic netting techniques. Bead Netting can be worked flat, tubular and flat-circular and dimensionally. Different size and types of beads can be used for special effects, like the round, vertical, horizontal and twisted nettings.

I used a peyote stitch to form as the hanger (you can use other different stitch as the hanger).
The number of beads will depend on the length of the netting you want. I have used 20 beads notice I marked some of the beads in green color, it represents the intersecting beads in the netting process.
Start the netting by stringing on the first vertical row of beads in this sequence: 1 green, 3 blue, 1 green, 3 blue, 1 green, 3 blue, 1 green, 3 blue, 1 green and 3 blue beads to form the ending section.
Loop the thread back through the last added green bead.
Continue adding upwards now: 3 blue, 1 green, 3 blue, string back the green bead in the center of the first vertical row, continue to add - 3 blue, 1 green, 3 blue and finally string the thread back through the first green bead added.
Step 1a: Now string the thread back through the hanger and remember to leave enough gap for the netting to form, so you can string the thread though 2 or more beads from the hanger to create the gap.

Bead Netting Instruction Step 1

Start the third vertical row by adding: 1 green bead, 3 blue bead, string the thread through the green bead from the second vertical row, add 3 blue bead, 1 green bead, 3 blue bead, string the thread through the green bead from the second vertical row, add 3 blue bead, 1 green bead, 3 blue bead and loop the thread back through the last added green bead.
Row 4: Repeat step 1a.
Continue to do the netting for the whole length of hanger you have or until you have reached the length desired.

Bead Netting Instruction Step 2