Subtract object's stroke from adjacent objects (to create a border of negative space)
I really don't know how to explain this in words in a simple way, so just take a look at the photo I've linked to below. I have a compound path, and I want to multiply it, but have a "stroke of transparency" around each shape, just like in the image below. How can I do that? I've tried with pathfinder, but I can't get it right.
Here is how I did it: Edit -> Path -> Offset path, which will create a new path that is X pixels bigger/smaller. Afterwards I used that to cut out a hole in the background shape (with the help of pathfinder)