When it is split into a million pieces we get a million magnets, all of the same orientation. Hence the dipole, the base model of modern physics today. But when the magnet is split across the equatorial plane, the polarization reverses itself and the magnets will never fit together again. A magnet, is a single magnetic unit. It is comprised of many single magnetic units.
Magnetism is attractive, in other words, north attracts south, south attracts north.
Two magnets polarized in the same direction will attract north to south, as will 500 or 5 billion. That concept is known as the Dipole, a simple 1-2 switch, when used in computers it is known the binary code. But there is a lot more to the simple 1-2 switch of a Dipole. The magnetic matrix consists of four numbers, a directional network of positive and negative forces along with neutral zones and crossover points. Magnets come in all shapes and sizes.