Crowns, brims, creases, oh my! What are the shapes of a cowboy hat? Although all cowboy hats feature common characteristics, the shape and detailing greatly differ. This is one the most important factors when purchasing a pre-creased hat, or determining what custom crease option you would prefer it in. Not only are the brim styles available in a variety of options, but the top crown pieces also utilize a multitude of styles, pinches, and creases.