This display shifts from one to the other transform quasi-randomly. The quasi prefix is because the area covered by the points reached by one transform is not necessarily the same as the area covered by the other transform. To spread the points more uniformly over both transform images, the algorithm biases the random selection to favor the larger image.
In this display, the points reached by the spin transform are marked with a red x and those reached by the shrunken displacement transform are marked with a yellow x.