I have just done some quick research on how to attach the rubber bands to the walls on the space. I think domestic hooks that you would find around your home would be a cool idea. You would put holes in the ends of the rubber bands to place over the hooks once the hooks were screwed to the wall. This makes them easy to put up and take down. Perhaps after a few days the layout of the rubber bands could change. Once my space has been removed from the site the hooks will remain as a remanence of the installation, a way for people to remember it.
How it will work.