Some of the toys let you grab and fling things within the dimension that you perceive, but they are still able to move and transform through other dimensions.
As you glide across the fourth dimension via a finger swipe, the three-dimensional objects in your field of view transform, since you can only see a single slice of their full 4D form at any given time. With the tutorial complete, I sat down in real life so I could get my hands all over the app's densely lined floor of toys. I've snapped some screens of what I discovered, though they don't quite do their in-game counterparts justice.
and can look quite different as you move along the fourth dimension.