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Top: the three tori of Fig. 5 before perturbation [we denote the red (outer and inner) ones as irrational and the gray (middle thin) one as rational) with cross-section; Middle: the three tori after perturbation (the gray torus has been replaced by a blue tube-like object that winds around the inner red torus but is encased by the outer red torus) with cross-section; Bottom: stripping away the outer torus shows the tube-like object.
