Why do these neodymium magnets seem to have 2 dipoles?

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protonic_mass
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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.