Tablebases

t. In 1977, Thompson showed up at the World Computer Chess Championship th a new creation, a database that played the king and queen versus king and rook endgame perfectly. (KQKR is the abbreviation.) It wasn'1 an engine; there was no thinking required. Thompson had generated a database that essentially solved chess backwards, what we call retrograde analysis. It started from checkmate and worked its way back until it contained every single possible position with that material balance. Then i...

 Asymmetrical Psychology: Computers Use Knights Better Tha...

e. Chess players have the most trouble visualizing the moves of knights because their move is unlike anything else in the game, an L-shaped hop instead of a predictable straight line like the other pieces. Computers, of course, don't visualize anything at all, and so manage every piece with equal skill. I believe it was Bent Larsen, the first GM victim of a computer in tournament play, who stated that computers dropped a few hundred rating points if you eliminated their knights. This is an ex...

 T T T=<em>N</em>

Occasionally he made a comment similar to Archimedes' "Eureka!" about a discovery, as he did when he wrong T T T=N. This is part of number theory, the field that Gauss called the Queen of Mathematics. A triangular number T is a number that you can get by adding up a string of consecutive whole numbers beginning with one. The number 6 is triangular because you can get it by adding 1 2 3, and 15 is triangular because you can get it by adding 1 2 3 4 5. The number 5,050, the sum of the first 100...