No - not flap hat - flapper - think 1920's. I designed this for my wife but she hasn't been around when I had the camera out so my dog (Maggie) modeled it. It looks MUCH better on my wife!
It's a simple stockinette stitch. I did a 1x1 rib stitch for the band and then picked up the stitches along the band to do the hat. All 3 of us (dog included) thought it turned out pretty cool.