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
11 events
| when toggle format | what | by | license | comment | |
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| Jan 25, 2021 at 14:51 | comment | added | Andrew Buchanan | My answer in chess.stackexchange.com/questions/33347/… to compute the number of legal collections to be 58,084,310. This matches a prior table computed by Kryukov, so I can now go on to the "extra credit" challenge of distinguishing the bishops | |
| Jan 20, 2021 at 3:21 | comment | added | Andrew Buchanan | See chess.stackexchange.com/questions/33347/… where 4 necessary & sufficient inequalities are given for a collection to be achievable | |
| Jan 18, 2021 at 15:11 | comment | added | domotorp | @2080 Suppose white a-pawn captures black b-pawn. The two white pawns on b can be promoted and one black pawn on a. | |
| Jan 18, 2021 at 12:48 | comment | added | 2080 | I understand the first part, meaning that the same pawn may either be captured, or promoted. I also understand that another pawn may capture this pawn and promote during that move, but why is it "at most two pawns of the opposite color"? | |
| Jan 18, 2021 at 12:35 | comment | added | domotorp | @2080 It tries to model that a pawn takes a pawn. Following that 3 pawns might be promoted. | |
| Jan 18, 2021 at 11:51 | comment | added | 2080 | Could you please explain (2)? | |
| Dec 15, 2020 at 17:01 | comment | added | domotorp | @Jeff Yes, this is the special case of applying the above (1) eight times. | |
| Dec 15, 2020 at 16:44 | comment | added | JeffUK | Does this consider that to get 18 Queens on the board, you have to promote 16 pawns AND sacrifice 8 other pieces (so the pawns can be doubled and move out of each others' way) chess.stackexchange.com/questions/4123/… | |
| Jul 30, 2013 at 23:51 | comment | added | Joel David Hamkins | Pete, I hope you have some good games; and let me say that I'm glad to see you back here more often again on MO! | |
| Jul 30, 2013 at 21:43 | comment | added | Pete L. Clark | @Joel: Thanks for your comment. When I look back at it now I would certainly interpret promotion the way you say, but based on my previous comment I must have been thinking about it differently (and incorrectly, I would say). Trivia: I have an appointment to play some blitz chess later this evening. | |
| Jul 30, 2013 at 12:20 | history | answered | domotorp | CC BY-SA 3.0 |