I am trying to design a new hat pattern, and I want the brim of the hat to be about 1 1/2 inches. But instead of a regular 1x1 or 2x2 rib, I wanted to make a garter stitch type rib. The only thing is I can not for the life of me figure out what it is I need to do to flip a regular garter stitch in the round to make it vertical. I know a regular horizontal garter stitch in the round would be knit one row, then purl one row, but how would I flip this to be vertical? I know the answer is probably super simple, I am just over thinking it. lol
sounds like you want to create a narrow band with slipped stitches on the edges, so you can pick them up and then knit from them in-the-round. you’d need to do a small gauge swatch with your intended yarn and needles, so you know how many stitches are in 1-1/2", and then knit a thin long strip (let’s say 10 stitches wide by whatever length you’d need for the hat’s diameter, maybe 20-22") making sure to slip the first stitches when you do that, so it leaves an easier/more obvious place to pick up later and then knit vertically.
ETA - also, negative ease on a knit hat is usually around 2", so you’d need to factor that in, and make that garter stitch portion 2" or so less in length than the actual head circumference.
I’m not sure what you mean. :?? Why do you need or want to do it vertically? What do you want the rib to look like?
i got the impression that the brim-band was supposed to look like this in garter:
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and the hat would go up from that like this in stockinette (knit-only, in-the-round):
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so you’d get a finished product of:
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and the only way to connect vertical garter to horizontal stockinette is by knitting the garter in a thin strip with slipped end stitches, turning it sideways, and then picking up those slipped stiches and knitting the stockinette in the round from that point… but maybe my brain picked up and ran with something in the opposite direction here… 
I know it was hard to explain. Instead of the rows in the garter stitch going in a horizontal way, I want them be vertical starting from the base. Sorry, here’s an example picture.
having seen the picture i stand by what i said earlier… thin brim first (maybe 10 stitches) in garter stitch, with slipped end stiches for picking up, then turn the work, pick up those slipped stitches, and then knit in the round however you like. 
To me the photo looks like a strip that was knit, then the ends joined together as Xtopher said. I think stitches were picked up but you could knit the rest of the hat and seam the pieces together. If you look at the edge on the right, to me at least, it looks like slipped stitches and not a cast on or bound off edge. Just my 2 cents.
ETA in the picture I don’t think the stitches were slipped on the edge where the pick up and knit was done.
Looking again, there seems to be a cable above the garter stitch, it would be worked with the garter stitch edge so there are no picked up stitches there. Do you have a picture of the entire hat?
Yes here is the a picture of the whole hat taken from etsy.
This pattern will give you an idea of how it’s done. http://www.straw.com/cpy/patterns/iceland-hat-sidecable.html If you click on the picture you can see it larger.
Scratch the pattern I linked to, now that I can see the hat - you posted while I was looking - I’d have to say that hat was knit flat from beginning to end. If you look at Ravelry you might find something quite similar.
Here’s my search for cable, seamed, free hats. http://www.ravelry.com/patterns/search#photo=yes&craft=knitting&view=captioned_thumbs&query=hat&availability=free&pa=cables%2Bseamed&sort=best
Thank you all for your replies! I will try them all until I find what works 
thanks again, to GG again, for saving the day again. 
If all you’re wanting to copy is the brim, I’d just use “sideways” as a filter on Ravelry. That hat is knit sideways all the way past the cable, but it’s the sideways part that will get you the brim part you want specifically. Lots of different ways to construct it, as you’ll find once you start looking at patterns.
Might have been knit flat? Or the cable section including purl sections and border knit seamed then stitches picked up for top?
That’s what I’m guessing, but the original question was only about the brim. The hat is definitely knit sideways up past the cable. The way it spirals on the top makes it difficult to tell if it was knit sideways as well or picked up and knit normal from there.
However it was done it is a good looking hat. I really think that the whole thing was knit flat, in one piece. If you look at the garter ridges above the cable they match those on the band except that they look to have been made with a larger needle. Anyhow that’s what I see FWIW. It looks to me as though it were knit in a rectangle and then seamed across the top (maybe use a 3-needle BO here) and vertically along the row-ends edge. There may or may not have been some decreasing before the BO. If there is a way to achieve what appear to be vertical garter ridges while knitting I want to know how it’s done. I can only come up with knitting it sideways and then seaming. :shrug:
A similar hat could certainly be done by working the band, joining the ends, and then doing pu&k. Either way should produce a very attractive FO.
ETA So now I’m baffled even more. I thought about the larger needles bit and don’t see a flat piece knit on different size needles all in one piece happening easily. IF it’s all one piece, maybe there were increases and the top just looks to have been done on larger needles. Maybe it’s two pieces seamed. Maybe (I expect this is the case) I’m just totally clueless.