Frozen Chess Puzzle - July 18, 2010
I was a bit bored this afternoon and, in between chores and such, I tinkered around on my chess board. You may have heard of people playing custom chess games with starting positions different than the official setup. Well, I got the idea to try to make a custom starting position setup that would be an instant stalemate...with no piece able to move.
After many failed attempts, I was beginning to think it was impossible. The hardest thing was achieving symmetry. I could lock up the front pawn line in a zig-zag fashion, then get one side's pieces locked up behind the pawns, but then the symmetry was off and I couldn't get the other side to fit together.
Suddenly, I had two insights that allowed me, after some more trial and error, to achieve a perfect symmetry. I won't tell you any more, in case you want to try it out for yourself.
My setup follows all of the rules: no pawns on the first (back) rows, bishops of the same color occupy oppositely colored squares, and all of the pieces follow the usual movement/capture rules.
Give it a go, and when you finish, or you get totally frustrated and sweep the pieces off the table, take a look at my setup in the photo section.
I'd love to see anything you come up with. Also, if you see a problem with my setup, please let me know.
After many failed attempts, I was beginning to think it was impossible. The hardest thing was achieving symmetry. I could lock up the front pawn line in a zig-zag fashion, then get one side's pieces locked up behind the pawns, but then the symmetry was off and I couldn't get the other side to fit together.
Suddenly, I had two insights that allowed me, after some more trial and error, to achieve a perfect symmetry. I won't tell you any more, in case you want to try it out for yourself.
My setup follows all of the rules: no pawns on the first (back) rows, bishops of the same color occupy oppositely colored squares, and all of the pieces follow the usual movement/capture rules.
Give it a go, and when you finish, or you get totally frustrated and sweep the pieces off the table, take a look at my setup in the photo section.
I'd love to see anything you come up with. Also, if you see a problem with my setup, please let me know.