I've used the silk I bought last winter, I've talked about it from this post on.
The little square is worked with a shuttle and the ball.
I've wound 3 strands of silk together and the thickness is similar to a size 20 thread.
Start with a ring. I started from one side, where the pattern forms the little "bow" with 2 joined rings. All rings in the pattern are 3-3-3-3-3-3. You can see that the silk thread used in the collar is thin, perhaps is size 50 or 60.
You would not use a second shuttle, after the chain DO NOT Reverse Work and start the ring with the same shuttle. The outer ring is joined to the last chain in its last picot. So, the ring is 3ds, join to the last picot of previous chain, 3ds, then repeat 1 picot, 3ds for 4 times.
Then, refer to photo 6, Reverse Work and start the inner ring.
Then reverse again work and start the second chain of the corner. That chain is joined to the outer ring, so for the chain : 3ds, join to the last picot of outer ring, 3ds, then repeat 1 picot, 3ds for 4 times.
The 2nd ring in the "bow" is joined to previous in its first picot. RW and start the chain, but remember to join the previous chain: make 3ds, join to last picot of last chain, continue the chain.
I've hidden one end using the method of finishing with SSSR. If you don't know about it, you'll be happy to read this great tutorial by Miranda. It could be applied also to SSSC.
Usually - for chains - I hide the other end with the needle.
So I should go to tat.
Please, let me know if I wasn't able to be clear or if I made mistakes. Thank you.
July 6th 2015:
I got to know via Pinterest the existence of a book by a Czech lady, "Frivolitky" by Milena Tomkova published in 2003, 70 pages. In one page, pinned by someone, I found the same pattern of the collar.