Instead of a fake hand, an image of a hand is shown on a monitor (in 2D, which works too). By varying the size of the fake-hand it was discovered that the illusion is still going for bigger hand sizes, but the illusion disappears when the fake-hand is smaller than the real hand. This can be declared by the real representation of our hand. When moved very close to our eyes, our hand is infinitely big. When moved away the maximum distance, on a stretched arm, it gets its minimum size. If the hand becomes even smaller, it can’t possibly be our hand any more. This experiment illustrates that.
This insight shows us how big an avator, or parts of that, can be in the virtual world, while we still have the feeling it is ours. And it thus feels more real.