My current project is this doily by Jan Stawasz from his book Tatted Treasures.
Happy that it is progressing rather well, even if at a slow speed. I am even enjoying the fine thread of size 60. I am trying to follow Jan's method as much as possible i.e. making the picots between the 1st and 2nd half stitches.
Was stuck at one time when trying to jump out to the next ring with split chains. That really got me at one point when I wanted to move out to the next round of small rings and chains. Following Jan's method, I will end the first half of the chain with a 1st half-stitch, and proceed to make the split chain form the other ring at he beginning. By that method, my split chain will have to end with a half-stitch as well so that the mock picot is formed correctly viewed from the other side.
Confused? Well, Jan Stawasz's style is not that easy to decipher at the first attempt.
Anyway, my solution to the split chain problem is to make it from the front side, omitting one half stitch at the beginning of the 2nd half of the split chain.