Variations
This variation essentially swaps top and bottom, and left and right. It turns out to be simply constructed from the one we have been working with — just a couple of simple changes in the labeling and consequent colouring. This one is interesting because there is no overall change in orientation from T=0 to T=1, so there is no necessity for a time where the image lies in a straight line. And yet…
Like the above example this one has top and bottom and left and right switching. Because the final shape is also a square this version is a little bit simpler and has more symmetry.
If you have some experience using trigonometric functions to build rotations you can try making this version of the T-Square animation. In this variation, instead of moving in a straight line, each point moves in a sort of overlapped spiral from its initial position to its final position. A good starting point for this animation is to get the square spinning in a circle around the origin, then add the translation later.