IMPORTANT EDIT/NOTE: YOU MUST USE TWO SHUTTLES for Round 2, so you may as well start Round 1 with both shuttles so you can move from one round to the next with ease.
The - represents a decorative picot, and the ^ represents a very small joining picot. If you blow up the picture, you will be able to see the difference in picot sizes. Farther down the page, + will mean joining picot.
Reverse work (RW). Chain 4-4^4-4. RW and make 2nd ring, etc.
Once you work all the way around, on the 6th ring, you will need to join to ring 1. Then you may choose to split the 6th chain to climb out of the round. I will not explain how to do that. Please refer to Linda Davies' You Tube video listed under toptattyhead.
If you want to split the chain, work to this point (below right):
When you have finished, you will have both threads coming out the top of the final chain, as at left.
You are then ready to move on to round two. I chose to implement a split ring (below left).
I did a split ring only for demonstration purposes. In fact, in Round 2 I am switching to a different lighter pink for the rings and using the dark thread of the variegated for the chains.
Below, I have closed the split ring, made my join, and tatted over tails, making a chain of 5 ds. Here you will stop and SWITCH SHUTTLES.
Reverse work again. Now going to make another chain and thrown ring. Using Shuttle 1, chain 6. Switch to Shuttle 2 (blue) R3-3-3-3-3-3.
Switch to Shuttle 1 again, R8+8. And you are at the point in photo below. Congratulations! You can finish Round 2 of Renulek's 2014 Summer Napkin (doily).
When your doily likes like the one below, you are ready to make a decision--finish and tie and cut, or do another split chain and split ring to start Round 3.