Customizable Crater

This is a customizable crater. The rim is hyperboloid, and the interior is a paraboloid. Parameters a and b, of each respectively, are customizable. a will adjust the height of the crater wall, and b will adjust the diameter of the crater. The maximum diameter and the resolution are also customizable.

Attached are some profiles of hypothetical craters from scientific papers I was looking at before I settled on the equations I used.