August 2013 Archives

On Endarkenment

The first thing to note about the Baron's game is that since four tiles must be turned over at each turn it is impossible to turn out an odd number of lamps. If one of the four was lit at the start of the turn, then three would be at its end yielding a net change of two. Considering the change made when from zero to four tiles were lit at the outset makes it clear that a game with an odd parity of lit lamps cannot be won.
If presented with such a board Sir R----- should most certainly have declined the Baron's wager.

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