How do I equally space the pieces of a split shape in Illustrator?

Question 1

I want to move all of the pieces of a split hexagon so there is equal space between each piece.

I could use the stroke function but I need it to have a transparent background.

I’ve split the hexagon into 24 pieces but I am stuck.

Question 2

Vincent has a great idea, here’s another similar method from a different approach (which I think has less steps)

Create your shapes (all split up etc.)

Select All (Ctrl/Command+A)

Then add in an stroke outline and bump it up to the desired thickness (I would make it white to better see it).

Now go to Object→Path→Outline Stroke

Then select your group and open up Pathfinder:

Window→Pathfinder (Ctrl/Command+Shift+F9)

Now select Divide

Now select and ungroup everything (Right-click→Ungroup or Ctrl/Cmd+Shift+G)

Now select one of the white spots and then go to Select→Same→Fill Color and delete all of them.

You will now have equally spaced gaps between the shapes.

The distance between the shapes will depend on your stroke thickness.

Answer