Oh, I did this last year for our shows.
I made a tutorial:
These braids are good for slightly longer manes. However, Lacey's mane grows like a weed, so it was a bit too long but they still look fairly good
These braids require thread or yarn, no way around it! (Or those new braiding wires)
Start by braiding as if you were going to do hunter braids(youtube hunter braids on how to braid in the yarn):
Then, using a latch hook or whatever home-made tool you might have, pull the yarn from the first braid up under the third braid, make a few knots around the top to secure it in place:
(I didn't have anyone to take a photo of using the latch hook, but again youtube how to do hunter braids, they will show you)
a slight variation is to push a little bump up to make a combo of scallop and dressage button braids. This photo also shows looping the second braid under the fourth braid:
Finished product (without the buttons): I had also done exactly the way in your OP photo but simply pulling the first braid under the second braid instead of skipping to the third braid.
Hope it's easy to understand!