The outer part of this puzzle is a Domino. The interior pieces move as you solve the outer pieces and makes for a very different puzzle from the domino.
The main difference is that you can turn the centre slice through 90° and then rotate the top or bottom faces. You need to do this to solve the interior pieces.
The one you see in the picture is quite a nice puzzle. You have to line things up nicely before making some of the turns - not a problem when the puzzle requires more concentration than standard cuboids. There are similar products where the outer cube is a 4x4x4 - they look interesting to work with too.