There are more possible games of chess than there are atoms in the universe.
Respected estimates of the number of possible board positions in
the first 40 moves of a Chess game range from 10^40 to 10^120. That's
from 1 followed by 40 zeroes to 1 followed by 120 zeroes:
http://mathworld.wolfram.com/Chess.html
To give a sense of how big the number 10^120 is, typical intelligent
estimates of the number of particles in the observable universe tend to
fall in the neighborhood of 10^80. So, if we take the number of
particles in the observable universe according to this estimate and
multiply it by 10,000,000,000,000,000,000,000,000,000,000,000,000,000
(!!!) we get a good approximation of the number of possible positions
in the first 40 moves of Chess, according to one widely-respected
estimate.
onsdag den 13. august 2008
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