Go back
There is an infinite chessboard...

There is an infinite chessboard...

Posers and Puzzles

2 edits
Vote Up
Vote Down

In a jump, exactly one piece must be jumped over. Not 2 not 0 not even 1/2 of a piece. Empty squares may not be jumped.
Yes one of the d4's in my above post should be a d3.

1 edit
Vote Up
Vote Down

Originally posted by Dejection
In a jump, exactly one piece must be jumped over. Not 2 not 0 not even 1/2 of a piece. Empty squares may not be jumped.
Yes one of the d4's in my above post should be a d3.
no need to get so picky and uptight
just a little misunderstanding of the question from SG's part
im guessing ur jst a bit envious at his retro skills and this is ur attempt to get back at him 😀
jst calm down boy
EDIT: i've manged to get to row 4 but all the other squares start to seem so far away....

Vote Up
Vote Down

It's true, I admit it! I am a phsycopath/maniac who dislikes any with better skills than me in any way at all, and I will get back at them and attack them in any way possible! 😕 banx99, i know where you live...

Vote Up
Vote Down

Originally posted by Dejection
It's true, I admit it! I am a phsycopath/maniac who dislikes any with better skills than me in any way at all, and I will get back at them and attack them in any way possible! 😕 banx99, i know where you live...
no u dont....

Vote Up
Vote Down

I've been to your place, remember? Now let me search through the muddy depths of my brain to find that memory...

Vote Up
Vote Down

funnily enuff....
i dont remember...
when?

Vote Up
Vote Down

Hint: David's post
Hint2: The golden ratio.

Vote Up
Vote Down

has david actually solved it?

Vote Up
Vote Down

I suppose so. He seemed to have solved the five-in-a-row and nine-in-a-row as well. I suppose the fact he gave that hint implies he has solved it. Why don't you have a shot?

Vote Up
Vote Down

Originally posted by Dejection
I suppose so. He seemed to have solved the five-in-a-row and nine-in-a-row as well. I suppose the fact he gave that hint implies he has solved it. Why don't you have a shot?
i say it is possible after further consideration.

Vote Up
Vote Down

I seem to recall hearing about this little problem from somewhere.

Now let me get this right.

Move Rules
1) A piece may jump a piece orthogonally adjacent to it, provided the space beyond it is empty.
2) A piece that is jumped is removed from the board.
3) A piece cannot jump multiple pieces.
4) A piece cannot jump diagonally.
5) A piece cannot move unless it jumps another piece.

Does that about cover it?


If so, then here is what I recall of that puzzle.

You can reach the first rank with 2 pieces.
You can reach the second rank with 4 pieces.
I believe the third rank is where space starts becoming a problem, with the 4th rank requiring infinite pieces to reach.

The fifth rank is impossible to reach using these rules.

Sadly, I cannot recall the proof or analysis to reach these conclusions, but one of the biggest factors is the lack of diagonal movement, which makes chaining very cumbersome.

I wish I had a more complete answer, but perhaps someone else here does.

1 edit
Vote Up
Vote Down

The fourth rank is possible with a finith number of pieces.
And yes, those five rules cover it much more clearly than i did, thank you.

Vote Up
Vote Down

Originally posted by geepamoogle

3) A piece cannot jump multiple pieces.
so this means that a piece can jump a piece, then stop then jump another piece, which is the same as a multiple jump. Doesn't make sense.

Vote Up
Vote Down

Originally posted by eldragonfly
so this means that a piece can jump a piece, then stop then jump another piece, which is the same as a multiple jump. Doesn't make sense.
Let me clarify that rule.

3) A piece cannot jump multiple pieces in a single move.


This leaves open the possibility of the piece jumping several others one at a time, which is very clearly a necessity to move beyond 1 row out.

Vote Up
Vote Down

I am interesting in seeing the minimal solutions for 3, 4, and 5 row depths...

Cookies help us deliver our Services. By using our Services or clicking I agree, you agree to our use of cookies. Learn More.