My guess is that the designer used 2 circ's method of knitting instead of double point needles - I'm not familar with the 2 circ's or magic loop so I can't give you the why's and how's. I think under the video section there are a few videos on how to do this.
Looking at the hat, I'm thinking that at some point DPN's won't be long enough to handle all the stitches - I didn't look to far into the pattern - but it seems like there are a lot of stitches involved in making the hat since in the description it is knit all in one piece.
Check the videos and play around with the pattern a bit. I know that when I play around with it before really knitting something that I don't originally understand - it helps me when I do go and knit the actual project.