intercutting
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Cut - in editing, a single unbroken strip of film.Cross-cut - the intercutting of shots from two or more scenes so the fragments of each scene will be presented to the viewers attention alternately.Parallel action (cut) - a device of narrative construction in which the development of two pieces of action are presented simultaneously.
A movie with a parallel plot contains similar characteristics with another story's plot. An example of this would be Romeo and Juliet, and West Side Story.
Non-Linear editing
If you are asking about 3 pic or picture editing that is the merging or three pictures into one. There are many photo editing programs that can help with overlay of photo, shadowing and editing.