Why do these neodymium magnets seem to have 2 dipoles?

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Neodymium magnets exhibit complex interactions due to their dipole nature, which can create a stable alignment when positioned at right angles to each other. When two magnets are oriented with opposite poles facing, they attract; however, rotating one magnet reveals a perpendicular magnetic field that maintains attraction despite attempts to change their orientation. This phenomenon suggests that the magnets are influenced by their magnetic fields, leading to a stable configuration that resists rotation. The inability to replicate this behavior with other magnets indicates that specific conditions or magnet characteristics may be necessary for this effect. Understanding these interactions can enhance the application of neodymium magnets in various technologies.
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If you take 2 .5" x .5" cylinder neodymium magnets, and attach them sideways with N of first closest to the S of the 2nd and vice versa, they are attracted.

However, when one is held stationary, and the other is rotated around, its seems that there is a perpendicular magnetic field that aligns the magnets so the same edges are attracted to each other no matter how much you attempt to rotate them around.

why is this?

eg.

# side view

N S
[][]
S N

# top view

( >)(< ) # these "right angle poles" are at a stable state

(< )( >) # when rotated 180 degrees, there is very high resistance, and then revert back to the above state when you let go.
 
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I couldn't replicate the problem with my neodymium magnets.
 

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