Forums

Chess Sudoku

Sort:
LogoCzar

I have a great idea: Chess Soduku. Rules below:

 

Rules:

On every rank there must be 2 white pieces and 2 black pieces.

On every file there must be 2 white pieces and 2 black pieces.

 

No piece can threaten another of another color.

All pieces must be used.

No pawns allowed on the 1st or 8th ranks

 

Feel free to try! Post commented diagrams below.

I think it would be hard and fun

The_Crazy_Dude

does it really work??

xTheBlackKnight

Interesting idea!

LogoCzar
The_Crazy_Dude wrote:

does it really work??

Don't know. I havn't sucseeded yet. Maybe someone will! Consider it a chalenge, and feel free to show others

TheronG12

It's not possible. You can't threaten another piece. That means queens and rooks need to be blocked by their own pieces. But you're only allowed two pieces of a color in each row, so you've got to block one side with the edge and the other with a piece. That's true for both rows and columns, so queens and rooks need to go in corners. But there are a total of six rooks and queens, and only four corners, therefore it's impossible.

I hope that makes sense.

Haggard-CC
TheronG12

Ignores the "all pieces must be used" rule, missing a few rows and columns but beautiful nevertheless.

draacula

Good reasoning TheronG. It can't work!

TheronG12

Inspired by Haggard-CC.

TheronG12

I've been trying to find a way to get 2 knights of each color into each row and each column without threatening each other, but I can't get it to work Frown Anyone know if it's possible?

JamesAgadir
TheronG12 a écrit :

I've been trying to find a way to get 2 knights of each color into each row and each column without threatening each other, but I can't get it to work  Anyone know if it's possible?

logozar

The_Crazy_Dude wrote:

does it really work??

Don't know. I havn't sucseeded yet. Maybe someone will! Consider it a chalenge, and feel free to show others

 

already ansered

TheronG12

I think something went wrong with your quote, I'm not sure what you mean. I know it's impossible to do what was suggested in the original post, but is it possible to do it with knights?

LogoCzar

So it is possible. 

Is it possible with all pieces?

If not lets see how close we can get

TheronG12

Robert_New_Alekhine

Queens don't work, because they are too powerful. Nice idea still, logozar.

Robert_New_Alekhine

Therefore, perhaps we can make a rule that all pieces except a Queen or a rook.

Robert_New_Alekhine

Wait...I made a big blunder:

Robert_New_Alekhine

Oh sorry, I forgto that there must be only two white pieces and two black pieces in a rank.

But let's check mathematically:

There are 32 pieces.

There are 64 squares. Is it possible for there to be just 4 pieces on each rank and on each file?

No.

TheronG12

Yes it is.

Robert_New_Alekhine
TheronG12 wrote:
Robert0905 wrote:

Wait...I made a big blunder:

 

You missed the rule about 2 pieces of each color on every rank. It's not that easy, sorry 

As I wrote in my next post.


Anyway, this doesn't seem possible mathematically. Not that I am giving up.