I recently stumbled across the plot, which is interesting both close up and further out!
It produces this contour plot (via Wolfram Alpha):
plot (x = (x choose y)), x from -5 to 5, y from -5 to 5
plot (x = (x choose y)), x from -10 to 10, y from -10 to 10
plot (x = (x choose y)), x from -1000 to 1000, y from -1000 to 1000
Does this plot have a name? Why does it look this way? As well, are there any other plots like this, with this type of interesting behavior?