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You can't do it statically; it's impossible.
Define "static".If the electrons in the graphite were not moving it wouldn't work.Without using paramagnetic materials it's impossible.I'm told this proves ithttp://en.wikipedia.org/wiki/Earnshaw's_theorembut, I don't understand a word of it.
There are a number of ways to do it, but the obvious ways that would look like they 'ought' to work, don't due to Earnshaw's theorem.Check out:http://en.wikipedia.org/wiki/Magnetic_levitationThe easiest way is probably to put Pyrolytic carbon on neodymium magnets ("diamagnetism") and it will float, but the carbon has to be pure with absolutely no iron contaminants.
To levitate you need to constrain movement in 2 directions, leaving the model free to move only in the z direction. Easiest is by using a glass rod and allowing the magnets to slide on it ( it needs a hole in the model that prevents it from flipping over or a magnet with a hole in it). Easiest to demonstrate using 2 cheap ferrite speaker magnets, on a wooden dowel. They will repel each other when placed correctly (and move together and shatter the other way round). Another method is to use a tensioned wire or string as a substitute for the rod, same caveats apply.
Bismuth might be easier to get than pyrolytic graphite or liquid nitrogen.