Author: George Tsavdaris
Date: 10:14:58 03/19/05
Go up one level in this thread
On March 19, 2005 at 13:09:54, George Tsavdaris wrote:
>On March 19, 2005 at 09:13:47, Norm Pollock wrote:
>
>>Does a chess game exceed 1 googol (1.0x10^100) possible moves?
>
>Possible moves????? What is this......? I could understand possible games or
>possible positions but possible moves.........(I think you don't mean with
>"possible moves", the number of all different possible moves that can be played
>in the game of Chess, as this would be pointless....)
>
> I think you want to say with "possible moves", the possible "number of
>different positions" or the possible "number of different games". In each case
>you just prove that the 30^120 is an upper limit, so you don't prove that each
>case is above 10^100........ ^^^^^
|||||
Correction: Not an upper limit but an average value. The real value may be under
or above so we can't really prove that each case is above 10^100......
>>
>>Yes!
>>
>>A 60 move (120 ply) game with an average of 30 possible moves per ply has
>>
>>30^120 = possible moves = 1.8 x 10^177
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