Did Futurama get the Banach-Tarski Paradox right?

The Banach-Tarski Dupla-Shrinker recently made an appearance on an episode of Futurama. Using it, Bender got to make two, slightly smaller, copies of himself. The smaller Benders are why they added the 'shrinker' part of the name. The actual Banach-Tarski theorem allows an object to spawn a perfect copy of itself, at… » 7/07/11 7:00am 7/07/11 7:00am