Vulcan #18

The next set of images introduces some symmetry around the diagonal axes in addition to the orthogonal axes.

The pattern in the earlier images could be repeated forever. A vast plane in which wherever you are standing, it looks exactly the same as anywhere else. These new ones, add a unique point at the center. There is an eight pointed star at the center. Other than some small distortion, everywhere else looks like everywhere else.

I am going to dial back on the math. But if you are curious, the additional symmetry is the result of $$z = z^2 /\lvert z \rvert$$ The squaring maps the diagonal axes to the vertical axis. Dividing by the absolute value keeps things the same size.