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A three dimensional plot of a surface with axes labeled \(x\) and \(y\) horizontally and \(z\) vertically. The surface looks pinched between the points (0,0,1) and (0,0,-1). The surface goes through the x-axis as well. Seven paths are plotted in blue approaching the origin on the xy-plane. These seven paths are also drawn in red along the surface and approaching the \(z\) axis at different heights depending on the direction of the approach.