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chess.md
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@ -180,7 +180,7 @@ Threefold repetition is a rule allowing a player to claim a draw if the same pos
## Stats And Records
Chess stats are pretty [interesting](interesting.md). Thanks a lot e.g. to Lichess (and NOT thanks to fucking capitalist idiots like chess dot com) we have some great [public domain](public_domain.md) databases of billions of games played between both people and computers, and thanks to chess engines we can generate new and new on demand, so naturally many people create cool statistics, look for patterns and oddities. This can be very insightful and entertaining.
Chess stats are pretty [interesting](interesting.md). Thanks a lot e.g. to OEIS and Lichess (and NOT thanks to fucking capitalist idiots like chess dot com) we have some great [public domain](public_domain.md) databases and analyses of billions of games played between both people and computers, and thanks to chess engines we can generate new and new on demand, so naturally many people create cool statistics, look for patterns and oddities. This can be very insightful and entertaining.
{ Some chess world records are here: https://timkr.home.xs4all.nl/records/records.htm. ~drummyfish }
@ -394,7 +394,7 @@ Again, Lichess only analyzed the first 150 moves and here it marked practically
What is **the rarest move**? Some [YouTube](youtube.md) video tried to investigate this with the help of Lichess database. Things that immediately come to mind like en passant checkmates and checkmates by promoting to a knight are rare but not insanely rare. A crazily rare kind of move, which only appeared ONCE in the whole database, was a doubly disambiguatated (i.e. with the necessary specification of both rank and file of the bishop) checkmate by a bishop (specifically Bf1g2#, occurring in a 2022 game) -- this is rare because to need a double disambiguation for a bishop move it is necessary to underpromote two pawns to a bishop and then place them correctly. Yet rarer moves, which NEVER appeared in the database, were a doubly disambiguated knight checkmate with capture and doubly disambiguated bishop checkmate with capture, latter of which was judged less likely and therefore probably the rarest move ever.
The maximum number of **black and white queen pairs placed on an empty board so that none is attacked** is 12 (that is 12 white queens and 12 black ones). This number as a [function](function.md) of board size is the [OEIS sequence A250000](https://oeis.org/A250000) and starts like this: 0, 0, 1, 2, 4, 5, 7, 9, 12, 14, 17, 21, 24, 28, 32, ...
The maximum number of **black and white queen pairs placed on an empty board so that none is attacked** is 12 (that is 12 white queens and 12 black ones). This number as a [function](function.md) of board size is the [OEIS sequence A250000](https://oeis.org/A250000) and starts like this: 0, 0, 1, 2, 4, 5, 7, 9, 12, 14, 17, 21, 24, 28, 32, ... Insofar as chess curiosities go, OEIS is a fairly cool place to check out too, they examine interesting things such as knight walks on infinite chessboards (see for example the beautiful [A316667](https://oeis.org/A316667)) and things of similar nature.
Anyway, you can try to derive your own stats, there are huge free game databases such as the Lichess [CC0](cc0.md) database of billions of games from their server, as well as powerful [free software](free_software.md) engines allowing you to arrange and automatically play out hundreds of thousands of games. Why not take the chance?