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4x4 Lights Out of 3 states

This activity belongs to the GeoGebra book Lights Out (Games with solutions). Your goal is to turn off all the lights. The difficulty is that when you click on any square, in addition to its state, it changes the state of its adjacent squares. To play, you have two possibilities:
  1. Set the position you want to solve. To do this, click on the desired squares to turn them on and then press the SET button. Depending on your lights distribution, there may or may not be a solution.
  2. Let GeoGebra randomly generate a distribution by pressing the RANDOM button. In this case, one solution is guaranteed.
You can find more information about this game in this article (June 2002) of Suma magazine (Spanish magazine on the teaching and learning of mathematics).
Author of the construction of GeoGebra: Rafael Losada