Timeline for What proportion of chess positions that one can set up on the board, using a legal collection of pieces, can actually arise in a legal chess game?
Current License: CC BY-SA 3.0
7 events
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| Aug 3, 2013 at 7:28 | comment | added | domotorp | Yes, I did mention this in my answer. This is again some factor that we have to multiply with, I guess around 50%. The problem that any such calculation/estimation seems to be too complicated for a human to carry through and a bit uninteresting for me - why should we care if it is 30% or 70%? | |
| Aug 2, 2013 at 14:40 | comment | added | Joel David Hamkins | Could you explain why you think almost all positions with 28 pieces are from a legal game? With so many pieces, it seems a significant number will have both kings in check. | |
| Jul 30, 2013 at 19:20 | comment | added | domotorp | Good point, I did have a stupid mistake, now it should be better. | |
| Jul 30, 2013 at 19:20 | history | edited | domotorp | CC BY-SA 3.0 |
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| Jul 30, 2013 at 18:45 | comment | added | The Masked Avenger | I would be more convinced by this if you had a better figure on the distinct multisets on 26 pieces using 8 labels. You seem to estimate it at near 1280; I think it might be a bit smaller, given the five color count alternatives. | |
| Jul 30, 2013 at 18:40 | history | edited | domotorp | CC BY-SA 3.0 |
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| Jul 30, 2013 at 18:25 | history | answered | domotorp | CC BY-SA 3.0 |