#ContourPlot of equal values of #BipolarCoordinates with #foci at (0,-1) and (0,1). Plotted using #wxmaxima. These #coordinates are #orthogonal #curvilinear.
https://en.wikipedia.org/wiki/Bipolar_coordinates
Oops, that’s foci at (-1,0) and (1,0).
I’ve put a tidied up version of the figure up on #Wikipedia.