Answer:
There were many more than just three royal crowns and a far greater number of crowns worn by the gods.
The usual royal crowns were the white crown, red crown, double crown, blue crown, atef crown and the nemes wig-cover. These are of course all modern names.
The link below takes you to images of all these types, but there are a few more royal crowns not included and many more worn by gods and goddesses: