Did Costa Concordia sink the wrong way?

Looking at the BBC images and diagrams of Costa Concordia, everything seems backwards.

The diagram seems to indicate damage primarily to the Left side of the ship.
However, the ship listed, and sunk on the Right side, leaving the hole in the ship nearly completely out of the water.

Now, they could be missing something. Perhaps the ship hit rocks on both sides, and there is massive damage somewhere that extends across to the right side, or an even bigger hole on the right side.

It just seems odd, as if the ship design was poorly compartmentalized below the water line, or something was done to exacerbate the problem.

Haven’t the cruise ship designers learned anything since the Titanic?