Pick a regular shape and drop charges onto its corners, the middles of its edges, or its centre. Give each charge a sign and a size. The arrow on every charge is the net force — the vector sum of the pushes and pulls from all the other charges. Put equal charges on every corner and watch the force at the centre vanish: that is symmetry at work.
This value is used for the next charge you place. Click an empty site to drop it.
Changing the number of sides clears the board, since the sites move.