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2 votes
0 answers
62 views

Incorrect upper bound on number of possible chess positions (10^41)?

I've written a script implementing a basic idea to count the number of chess positions. I've not even accounted for legality of the positions or difference in light and dark square bishops. Despite ...
Yash Jain's user avatar
  • 535
1 vote
1 answer
112 views

More accurate estimate of chess games possible

I have heard of Shannon's number (10^120) which is the supposed number of possible chess games computed in the 1950s. But Shannon's estimate is criticised for including illegal moves. What is a truer ...
anti - Marshall's user avatar
12 votes
3 answers
4k views

What is the average number of legal moves per turn?

For example in the first turn there are 20 possible legal moves (16 pawn moves and 4 knights moves). This number increases in the middlegame and then decreases in the Endgame. Are there some ...
Superluminal's user avatar
  • 2,003
8 votes
4 answers
7k views

What is the number of legal positions in a chess game?

There have been several questions regarding the possible number of chess games. for example; Database of every possible move in chess. However,can there be an estimate on the number of "allowable&...
shoonya's user avatar
  • 307