At this table you can interactively solve three interesting tasks that come from the mathematical fields of coding theory and graph theory:
Nine lights arranged in a square can be operated by six pushbuttons. If you press one of them, the three lights in the corresponding row are switched.
Do you manage to have only one lamp burning?
Here there are four switches for seven lamps: Each pushbutton switches the lights to which it is connected by a line. Although the circuit is so simple, it does something surprising: For example, is it possible to make it so that exactly two lights burn?
The figure shown here is known in mathematics as the Petersen graph. Using the push buttons, you can create a line that passes through each of the nodes exactly once. Do you also manage that this line is closed at the end?