The top six fastest growing real estate companies mirrored the state of development around the world. As the U.S. and Europe languish, recovering from a glut of pre-recession overdevelopment, Asia, India and the Middle East have seen a construction boom. But many of the fastest growing companies weren't builders of the vast skyscrapers that define the new skylines. Rather, they focused on luxury residential properties for the growing class of affluent homebuyers. The question remains if these regions can sustain such rapid growth, or if they will also fall victim to the same bust that hit the West. Perhaps tellingly, the developers of the Far East weren't in mainland China -- where housing prices have slipped of late -- but were instead based in Taiwan and Singapore.