How do the poles of a magnet interact with each other?

The interaction of magnets is explained by the following rule: the poles of the same name repel, and the opposite ones attract. This is because the north and south poles have magnetic fields that can interact with each other.
If two magnets have opposite poles, then an attractive force is formed between them, which will depend on their distance. Accordingly, the closer they are to each other, the stronger the effect of attraction will be. A similar pattern is typical for magnets with the same poles.