The floors are parallel to the ground, but are staggered horizontally above the 12th floor; it's the exterior shell which appears to lean.I'm curious, are the floors in this new tower at an angle in relation to the ground? Because if they aren't, I wouldn't call that a "leaning" tower... just shaped to look bent...
Here's more on the building's structure:
http://www.capitalgate.ae/structure.php
There are also links to a video, a photo gallery, etc. at the left of the page.