It has been conjectured for some time that the set of poles of a rotationally symmetric two-sheeted hyperboloid breaks into two disjoint sets if symmetry is broken by contraction perpendicular to the original axis of symmetry. We provide the first reliable visualizations of this process, confirming previous conjectures and motivating new ones.
"The Set Poles of a Two-Sheeted Hyperboloid." Experiment. Math. 11 (1) 27 - 36, 2002.