Here is a staircase I did. These particular stairs are know as bullnose stairs. Bullnose is a term used to describe the lip that is formed around the tread of the stair. The look really accentuates the look of the stair. The two stairs in the middle are "pie stairs". The side of the stairs under the railing are called "side wraps". In this set of side wrapped stairs you can see how this process covers the side of each stair.