# Electrons

The Thomson problem, initially described by J. J. Thomson in 1904, imagines electrons placed on the surface of a unit sphere and asks how they will arrange themselves to minimize electrostatic potential. This simulation allows us to visualize the problem as more electrons are added.

### Controls

Left click + drag to rotate

Right click + drag to pan

Scroll to zoom

Left lick to add electron

Right click to remove electron

## How it Works

Electrons behave predictably, as dictated by Coulomb's law: the force with which they repeal each other is inversely proportional to the square of the distance between them. If we constrain them to the surface of a sphere, they will always eventually arrange themselves into a stable configuration, many of which mirror common mathematical objects.