The most important observation in this puzzle is that with the given geometry of the neighborhoods it is always possible to reach a state in which all the buttons in the first 4 rows are off. There are notational shortcuts that make the Description manageable, but for the sake of variety I shall present a more intuitive approach. Here we deal with vectors with 25 components and 25×25 matrices. It can be shown that a solution does not always exist and, for this reason, when it does, it is not unique. Like the games of Merlin's Magic Square and Mini Lights Out, this one admits a theory based on linear algebra. |Contact| |Front page| |Contents| |Games| |Eye opener|Ĭopyright © 1996-2018 Alexander Bogomolny For a given configuration, the task is to turn all the buttons off (out.) Pressing a button changes its state and that of its vertical and horizontal neighbors.
It consists of a 5×5 array of buttons that may be in one of two positions: on or off. Lights Out is a commercially marketed (by Tiger Electronics) product whose analysis admits a linear algebra framework analogous to that of Merlin's Magic Square puzzle.
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