Three levels of hierarchy?

[dmdc]

I'm looking to make a gallery with three levels.

The first level will be a master category. It will have categories such as animals, cars, vacation. Each category will have a picture, similar to this:
http://www.fireblades.org/gallery/browseimages.php

If you were to click on animals, you would see a page just like the previous, but it would be broken down into dogs, cats, birds, with a picture of each next to them, just like above.

Then when you click on dogs, you will see all of the individual dog pictures.

Is this something gallery can do?

[ConqSoft]

You can make categories pretty much as deep as you like.