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
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Aug 11, 2013 at 20:27 | history | edited | The Masked Avenger | CC BY-SA 3.0 |
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Aug 11, 2013 at 9:06 | comment | added | The Masked Avenger | Of course I would now think of a 7 piece cage in a corner, giving perhaps an additional factor of 100 for 28 pieces | |
Aug 11, 2013 at 5:31 | comment | added | The Masked Avenger | Even wihout the consideration of fewer pieces, these 29 piece arrangements give at least twice as many positions as what you calculated for the 32 piece multiset. I think once the multisets are computed, we will find many fewer legal games than domotorp predicts. | |
Aug 11, 2013 at 5:19 | comment | added | The Masked Avenger | I hope this recent edit affirms your faith. I suspect this forum can prove bounds to within a couple of orders of magnitude from the actual number. | |
Aug 11, 2013 at 5:16 | history | edited | The Masked Avenger | CC BY-SA 3.0 |
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Aug 10, 2013 at 0:31 | comment | added | Joel David Hamkins | I awarded you the bounty, in appreciation for your efforts; thank you very much!. I hope that you will carry through the details as you indicated. I continue to think that we can hope for some definite good bounds with the right calculations and the right way of thinking about it. | |
Aug 10, 2013 at 0:29 | history | bounty ended | Joel David Hamkins | ||
Aug 9, 2013 at 4:47 | history | edited | The Masked Avenger | CC BY-SA 3.0 |
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Aug 9, 2013 at 4:41 | history | edited | The Masked Avenger | CC BY-SA 3.0 |
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Jul 30, 2013 at 16:51 | history | edited | The Masked Avenger | CC BY-SA 3.0 |
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Jul 30, 2013 at 16:41 | history | edited | The Masked Avenger | CC BY-SA 3.0 |
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Jul 30, 2013 at 16:35 | history | answered | The Masked Avenger | CC BY-SA 3.0 |