Understanding the Tricorn

Been having a lot of trouble trying to draw the Tricorn, so I pulled the design to one side and opened the folds out so to speak, so I could better understand how it works so I could draw it better.

You have the centre of the Tricorn like a generic hat, just sits on the top of your head. Then, there's a triangle with rounded corners going outwards, which fold in. I think I've done this example too flat though, as the corners tend to point outwards rather prominently.