Discrete Peaceful Encampments: Player 4 has entered the game!
$begingroup$
Here's a variation of Discrete Peaceful Encampments: Player 3 has entered the game! (which itself is a variation of Peaceful Encampments).
You have 3 white queens, 3 black queens, 3 red queens, and 3 green queens. Place all these pieces onto a normal 8x8 chessboard in such a way that no queen threatens a queen of a different color.
Okay, that was easier than the previous variations, right? You can probably use the pattern you found to solve these problems as well:
Place 5 queens of each of four different colors onto a 10x10 checkerboard so that no queen threatens a queen of a different color.
Place 7 queens of each of four different colors onto a 12x12 checkerboard so that no queen threatens a queen of a different color.
Which leads to the real puzzle:
At what point does it become possible to place more than $N-5$ queens of each of four different colors peacefully onto an $Ntimes N$ checkerboard?
mathematics geometry chess checkerboard
asked 6 mins ago
QuuxplusoneQuuxplusone
27218
$endgroup$
add a comment |
$begingroup$
Here's a variation of Discrete Peaceful Encampments: Player 3 has entered the game! (which itself is a variation of Peaceful Encampments).
You have 3 white queens, 3 black queens, 3 red queens, and 3 green queens. Place all these pieces onto a normal 8x8 chessboard in such a way that no queen threatens a queen of a different color.
Okay, that was easier than the previous variations, right? You can probably use the pattern you found to solve these problems as well:
Place 5 queens of each of four different colors onto a 10x10 checkerboard so that no queen threatens a queen of a different color.
Place 7 queens of each of four different colors onto a 12x12 checkerboard so that no queen threatens a queen of a different color.
Which leads to the real puzzle:
At what point does it become possible to place more than $N-5$ queens of each of four different colors peacefully onto an $Ntimes N$ checkerboard?
mathematics geometry chess checkerboard
asked 6 mins ago
QuuxplusoneQuuxplusone
27218
$endgroup$
add a comment |
$begingroup$
Here's a variation of Discrete Peaceful Encampments: Player 3 has entered the game! (which itself is a variation of Peaceful Encampments).
You have 3 white queens, 3 black queens, 3 red queens, and 3 green queens. Place all these pieces onto a normal 8x8 chessboard in such a way that no queen threatens a queen of a different color.
Okay, that was easier than the previous variations, right? You can probably use the pattern you found to solve these problems as well:
Place 5 queens of each of four different colors onto a 10x10 checkerboard so that no queen threatens a queen of a different color.
Place 7 queens of each of four different colors onto a 12x12 checkerboard so that no queen threatens a queen of a different color.
Which leads to the real puzzle:
At what point does it become possible to place more than $N-5$ queens of each of four different colors peacefully onto an $Ntimes N$ checkerboard?
mathematics geometry chess checkerboard
asked 6 mins ago
QuuxplusoneQuuxplusone
27218
$endgroup$
Here's a variation of Discrete Peaceful Encampments: Player 3 has entered the game! (which itself is a variation of Peaceful Encampments).
You have 3 white queens, 3 black queens, 3 red queens, and 3 green queens. Place all these pieces onto a normal 8x8 chessboard in such a way that no queen threatens a queen of a different color.
Okay, that was easier than the previous variations, right? You can probably use the pattern you found to solve these problems as well:
Place 5 queens of each of four different colors onto a 10x10 checkerboard so that no queen threatens a queen of a different color.
Place 7 queens of each of four different colors onto a 12x12 checkerboard so that no queen threatens a queen of a different color.
Which leads to the real puzzle:
At what point does it become possible to place more than $N-5$ queens of each of four different colors peacefully onto an $Ntimes N$ checkerboard?
mathematics geometry chess checkerboard
mathematics geometry chess checkerboard
asked 6 mins ago
QuuxplusoneQuuxplusone
27218
asked 6 mins ago
QuuxplusoneQuuxplusone
27218
asked 6 mins ago
QuuxplusoneQuuxplusone
27218
asked 6 mins ago
QuuxplusoneQuuxplusone
27218
asked 6 mins ago
QuuxplusoneQuuxplusone
27218
27218
add a comment |
add a comment |
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