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Difference between revisions of "Novemtrigintillion"
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The [[game-tree complexity]] of chess is now evaluated at approximately 10<sup>123</sup> (the number of legal positions in the game of [[chess]] is estimated to be between 10<sup>43</sup> and 10<sup>50</sup>). As a comparison, the number of [[atoms]] in the [[Universe]], to which it is often compared, is estimated to be between 4×10<sup>78</sup> and 6×10<sup>79</sup>. | The [[game-tree complexity]] of chess is now evaluated at approximately 10<sup>123</sup> (the number of legal positions in the game of [[chess]] is estimated to be between 10<sup>43</sup> and 10<sup>50</sup>). As a comparison, the number of [[atoms]] in the [[Universe]], to which it is often compared, is estimated to be between 4×10<sup>78</sup> and 6×10<sup>79</sup>. | ||
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== See also == | == See also == | ||
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*[[Game complexity]] | *[[Game complexity]] | ||
*[[Names of large numbers]] | *[[Names of large numbers]] | ||
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== External links == | == External links == |
Latest revision as of 00:37, 7 March 2011
Novemtrigintillion is a very large number. It's ten to the power of 120 or 10120.
Shannon number[edit]
One novemtriginillion is known as the shannon number. The shannon number is an estimation of the game-tree complexity of chess. It was first calculated by Claude Shannon, the father of information theory. According to him, on average, 40 moves are played in a chess game and each player chooses one move among 30 (but in fact, there may be as few as zero -in the case of checkmate or stalemate- or as many as 218). Therefore, (30×30)40, i.e. 90040 chess games are possible. This number is about 10120, as the solution of the equation 90040=10x is x=40×log 900.
The game-tree complexity of chess is now evaluated at approximately 10123 (the number of legal positions in the game of chess is estimated to be between 1043 and 1050). As a comparison, the number of atoms in the Universe, to which it is often compared, is estimated to be between 4×1078 and 6×1079.