It’s no shock that Dubai would be the first to sport a spinning skyscraper, afterall they have man made islands that form the Earth’s footprint.  This Dynamic Tower design allows each apartment, ranging in price from $3 – $36 million, to rotate a full 360 degrees in one to three hours.  The building is also designed to be self sustaining by utilizing 79 embedded power generating wind turbines.  The project is expected to cost over $700 million and be completed in 2010.

More info here