I want to use a plane to hide parts of an object as they come into collision with it. For example the image below: the cone would not be showing the left side where it is "cut" and the monkey would not for the eye and ear that goes through the plane. I don't want to change any properties of the objects themselves, just a plane that functions as a "portal" on both sides if that makes sense.

Another example, only the left side monkey and right side cone would be showing here:
