Can magnets have the same poles?

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Is it possible for a magnet to have same poles? i saw a question in which the compass points the same way in both ends.
 
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  • Two rectangular bars labelled X and Y at each end, each with a small compass beside it; in both diagrams the compass needle points the same way, toward the X end.
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You could in principle have a bar which is magnetised with one pole in the middle and the opposite pole to that at each end. E.g., glue the N poles of two magnets together.
As far as is known, a monopole is also possible, but none has ever been found.