They are all very different, the first Strolling around, which you can find here
https://vintagecasahandmade.blogspot.it/2017/07/strolling-around.html
is warmer, more elastic and smooth.
For the second version I wanted something bright, contrast to grey...
And I found this Multifilo egyptian cotton by Adrianwool.
I don't like so much mercerized cotton as it seems rather stiff to me.
So I tried even some other yarns and different stitches. I wasn't sure about the result so I decided to knit and see what happens with the top, with the drape. As you can see, at the beginning I made a progress with grey Sesia hat, which lately I undid, and now I knit another hat with this yarn.
After different cast on, unripping, cast on etc...
I made another border (simple garter stitch with crab stitch finishing instead of double picot edge) and this hat is shorter as this yarn is not the best for draping.
Now I like it, the color is great and it looks cute.
One more thing, always for better draping, I sewed the upper part from the wrong size, so the pleats look much better.
Then I continued my Strolling around series with Piuma (machine knitting yarn).
I knitted the double picot border with 5 threads and the main part with 6 threads.
This yarn is smooth and lighter, I wanted this hat to be a bit more slouchy, so I added one more pattern repeat. Sewed on the wrong size. Even this hat is a bit shorter than the first one, and the pleats look better being sewed on the wrong size. 
Now you see the difference?
