Hmmm, there is a fatal flaw in the FE disk magnet theory. A simple device, typically made of Gallium or Indium compounds, can demonstrate that the FE magnetic polar model is wrong. These devices called "Hall Effect" sensors can be used to detect; any magnetism, either specific pole or even fluctuating magnetic fields. They can also determine relative strengths. So the problem arises when one builds the circuit to detect the south pole. According to the FE model, it should indicate that the south pole is below us (or under ground) regardless of your location on the Earth but it does not (unless you are deep in the north where the south pole on a globe would be below you). Arrays of these devices can be used to determine fields and their directional properties, much like the dashed lines in the center portion of the images posted by others. These arrays can be used to demonstrate that the Earths magnetic lines of force maintain a relatively consistent distance from the surface of the Earth. As the disk model demonstrates, in the images, this does not work on your FE disk as the flux lines clearly do not "huge" the contour of the surface. Replace the disk with a globe and TA DA, it works as the data suggests.
In fact data collected from these devices easily support a spherical world and the associated magnetic poles. Again, don't take my word for this ... do the experiments ... that is how good science happens.