I finished a knitted cap yesterday. I am not showing a picture of it because it would not photograph well. I did it in a dark green chenille yarn which doesn't show the stitches well, and the shape is basically circular. So what you would see would be a fuzzy green circle.
I could wear it and photograph my reflection, but that just sounds like too much work. It's a winter cap, so I won't be wearing it any time soon, and I haven't decided yet whether I like it or not. I may end up ripping it out after a couple of wearings, not sure yet.
It is basically a very large floppy beret with a brim on the front. I like the look of floppiness but I think it might not stay on my head very well because of its floppiness. Also, I was trying for a hat with a brim to protect my glasses from falling snow, and had a hard time finding a pattern for a cap with a brim that I liked. I finally decided to combine two patterns, the floppy beret and a kind of knitted baseball cap.
After several goes at it, involving much ripping out and reknitting, I think I finally got the hang of how to knit a brim on a cap. The instructions I was following were overly complicated, I followed them anyway because I thought there might be a good reason for the complications, but it turns out there wasn't.
So in the future, here is what I would do.
Start the cap or beret with a provisional cast-on, using a crocheted chain in scrap yarn. When the cap is done, remove the crocheted chain and transfer all of the stitches to a circular needle one size smaller than the size you used for the cap. Bind off half the cast-on stitches in the following way: *k2tog, k1, move the stitches back to the left needle*, repeat until all desired stitches are bound off.
With the remaining stitches you will start the brim. Essentially you are knitting a very large sock toe in the toe-up short row method; you knit progressively shorter rows with wrap & turns (W&T) each time you turn a row. When the brim is the desired length (i.e., distance from the cap outward), you knit progressively longer rows until you have a brim-shaped pocket attached to the cap along one side. Cut out a piece of flexible plastic (a cheap plastic kid's placemat is perfect for this) to fit the pocket. Cut the yarn leaving a 20" tail. Insert the plastic stiffener into the pocket and sew up the pocket opening with the 20" tail.
This is not how I did my cap, the instructions I followed left me with two holes to sew up and a little more length on the cap at the brim than I really wanted. I am not sure what the purpose of that was.