I also want to use chess engines. Additionally, the experiment has to be either an experiment or design, not research.
Chess in Science Fair
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Math can be any percents or statistics
Chess only seems like it's relared to math because chess engines give a value to whatever board position they are analyzing.
But it's based on a variety of factors that are given weighted value. 0.0 would be a perfectly balances position. Each factor moves it in a positive or negative position. Factors that help black are negative numbers.
After adding all the positive and negative factors, the engine assigns that as the value for the position.
In essence, it just a vastly more complex version of card counting in blackjack.
In any event, chess isn't a zero sum game because it can result in a draw or stalemate.
Nov 7, 2019
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#5
Chess wouldn't be my first choice for any type of exhibit or experiment related to math (or even in the top 50). While you could quote percentages or numbers of possible moves during the opening, it would be very dry and boring. I'm sure there are much better alternatives. Good luck either way.
I have been approached to do a science fair in the "Math" category in the science fair. I want it to revolve around openings but if the game theory (combinatorial) can be applied to middlegame and endgame I'd also like to do such a project. Any ideas?