Thinking of it on a 2 dementional plane.
You can not have a tile that moves on the y and x axes.
If you look closer at the corner tile, you will see that it is attached to 2 rods. As is, this tile- and therefore all of them- can't actually move either on the x or y axis.
This idea would have to be refined more on the mechanical side, but it is a cool idea.