Subject: Cutting holographic film produces the same image?

I've started reading a book by Michael Talbot called The Holographic Universe, 
in it he says an exposed holographic film (containing only the interference 
patterns) can be cut up into smaller pieces, and that each piece will show the 
object in its entirety when illuminated by a laser. Although he says the image 
gets fuzzier as you cut the film into ever smaller pieces, he doesn't explain 
the process very well.

I'm hopeful someone can explain how this works.

Re: Cutting holographic film produces the same image?