At the point where you want to start your Triple Picot you make a long picot - here I used a ruler, width 3cm as a gauge. Next make a small picot, then pinching the long picot join the tip of it into your work just like joining a picot from another ring or chain. 1ds between picots. The result is a long picot arching over a small picot to produce a triple picot.
The Double Picot is made in the same way as the Triple Picot (again using ruler as gauge) but instead of leap-frogging the long picot over a small picot, you join the long picot back into the same ring or chain after 1 or more ds - or as in this pattern, you join the long picot into another chain, in the way that a joining picot is normally used, only here it is long for a decorative effect.
Ring: 3-3-3-3 RW
Chain: 4, long picot, 6, R(sh2: 6, triple picot, 6), 6, long picot, 4 RW
*Ring: 3+3-3-3 RW
Chain: 4+ to long picot, 6, R(sh2: 6, triple picot, 6), long picot, 4, RW
Rep from * and use foldover join for last long picot.
Tie ends through first ring and cut or finish off as you wish.
See here for Abbreviations.