Knight on a chess board (x-post from woahdude,gifs,gaming etc)

Azeltir · 2012-10-04T17:04:47+00:00

I still prefer the Turk's Knight's Tour, which is both closed and really beautiful.

zmilts · 2012-10-04T17:32:56+00:00

This is a pretty common example of a programming assignment in early computer science curricula at a University. The idea is generally extrapolated to a more general problem of "Given an NxM board (in standard chess N=M=8) and a position on the board, determine if a Knight can move from its starting position to every possible square on the board, and output the path. It is mainly used to teach the programming concept of Recursion.

The brute-force approach is actually incredibly simple to program (and in fact is the same type of a approach that can solve any choice-changes-state-which-leads-to-more-choices style problem, but is extremely computationally expensive for massive state-choice sets), but there are a few heuristics that make the solution have less backtracks.

I suggest looking at Kinght's Tour on Wikipedia for more info on this specific problem (if you are interested). Another famous one is the 8 Queens Puzzle.

jcvanderz · 2012-10-04T16:53:47+00:00

This is really cool! Thanks for sharing!

Mainecat · 2012-10-04T16:59:41+00:00

This is probably one of the reasons why chess is such a good, well loved game. There is just so much history and thought that has gone into it over the years.

As a separate note, I went to a lecture on the traveling salesman problem recently. I wonder if this could be thought of as an instance of that problem.

AmoDman · 2012-10-04T17:07:03+00:00

Why is this 'whoah'? I guess I'm not seeing the shocker.

btvn · 2012-10-04T17:35:08+00:00

I remember having to solve this problem back in high school computer science using recursion.

I wonder if there's a more efficient algorithm for finding a solution than trying all moves until you hit a "dead end" and then backing up one move.

blackknightxiv · 2012-10-05T02:55:46+00:00

I hate to be "That Guy", but the knight doesn't start in the middle of the file...

EliaIsAGiraffesName · 2012-10-04T16:44:01+00:00

I think I saw a swastika in there

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