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Toggle lights

At this table you can interactively solve three interesting tasks that come from the mathematical fields of coding theory and graph theory:

GF(2)\mathbf{^5}

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?

Hammingcode

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?

Petersen graph

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?

More information

Advanced text
Conway cube
The Exhibits
Proof without words: Sum of the square numbers

Opening Hours and Ticket Prices

Tuesday – Friday: 9 am – 5 pm
Saturday, Sunday and holidays: 10 am – 6 pm

Entry: 5 Euro / discount. 4 Euro

Special prices apply for groups and families, for guided tours or for photo and video permission.

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Erlebnisland Mathematik
Technische Sammlungen Dresden
Junghansstraße 1-3
01277 Dresden

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