looking for a hat pattern

I'm hoping to come up with a pattern to make a specific style of winter hat. My daughter knitted a neat hat a couple of years ago out of Noro Kureyon. It was a Noro pattern. It was knit as a rectangle on the diagonal, and had raised rows which created a very cool spiral pattern when the hat was assembled, by sewing the ends of the rectangle into a hat shape and then pulling the top up tight. I have searched in vain for a similar pattern for a crocheted hat, as I don't knit. My daughter had said she'd knit me such a hat, but now that I have some yarn for it, she's quite busy and I'd like to give it a try myself.

I figure it's possible to make one by crocheting a rectangle using a regular stitch, and alternating doing a few rows in front and back loops to make the raised diagonal spirals. What I can't figure out is how to make the raised rows line up in the end, when I would be joining the ends of the rectangle together. Anyone here have any idea what kind of thing I'm talking about, or have any experience with lining rows up on the diagonal?

I did find a photo that shows the idea, in general, of what I'm talking about.

Many thanks to anyone who can help!