i think magnets are more interesting when you think of them laterally. the poles don't just act face-to-face, but actually interact quite well side-by-side, too. if their poles point the same direction, they repel, and opposite directions attract. if you kept them aligned and lined up, like discs sandwiched in glass, you could orbit either one around the pole-axis of the other, and the attraction/repulsion works all the way around. in this 2-dimensional plane, they act more like +/- monopoles.
it makes me wonder, in a 4-dimensional spacetime context, is there a way to make sense of the thought of pointing something's magnetic pole along the axis of time, and if so, what's that look like?

@ze Physics Student here:
In some way magnets, poles and field lines aren't very sensible in a relativistic context: They're not lorence invariant and suddenly you get a preferred frame of reference, which is explicitly dissallowed.
There's is a 4-dimensional formulation of the Field Equations though - but it explicitly doesn't differ between magnetic and electric fields.

I think the closest interpretation/picture to your question is a changing magnetic field and thus: An electric field.