Upgrade to Chess.com Premium!

The 8 queens problem.

  • Sam_math
  • | May 12, 2009
  • | 12457 views
  • | 34 comments

The problem consists in place 8 queen in a chessboard, but neither queen is able to attack other queen.

I found this solution after 30 min, but don´t see it untill you solve the problem by yourself, totally are 12 unique solutions (92 counting rotations and relfections).

There is an algorithm to construct the solutions, many variants, the general case (to place n queens in a nxn board) if you are interested you can check the wikipedia http://en.wikipedia.org/wiki/Eight_queens_puzzle to learn more.

P.D. Ignore the kings, but in chess.com diagrams they always appear.

Comments


  • 3 years ago

    DoorbellX

  • 4 years ago

    Darkflameninja

    Go on Coolmath.com and play the bridge puzzle. Kinda difficult.

  • 4 years ago

    TheShoal12

    Awesome! I never thought about putting 8 queens with having them attack each other.

    Also, summitwei, coolmath is the best math website ever!

  • 4 years ago

    summitwei

  • 5 years ago

    kaushikdr

    nice :)

  • 5 years ago

    petey1

    1.82  2.1204

  • 5 years ago

    chaderoo2

    1. = 82

  • 5 years ago

    TigerSneak1

    1.64 2.414

  • 5 years ago

    Chess5413

    I love it. You are really not only a good chess player but also a great mathematician. Cool! Fantastic! Marvelous!

  • 5 years ago

    chess01fan

    I got some math problems for you.. solve this:

    1. (7-5x4) + (40+34)=          2. 400+6x3 - (40-26)=

     

    I'm gonna be so happy if you answer it correctly...

  • 5 years ago

    chess01fan

    Yeah...good problem. I can't think anymore, I spent my energy in playing chess this evening.. No other things inside my head thanks to Abe4869, I knew what to tell you...thanks by the way I learned techniques...

  • 5 years ago

    OBIT

    For the symmetrical solution, place the queens on a3, b5, c2, d8, e1, f7, g4, h6.  I found this by writing a computer program that generated the 92 solutions.   (As has already been pointed out, there are 12 if rotations and reflections are excluded.)

     

    Here another interesting one, which I found by expanding the computer program: Imagine a piece that combines the moves of the queen and the knight.  Let's call this piece a "maharajah", as it is known in at least one chess variant.   It is possible to place 10 maharajahs on a 10x10 chessboard such that none of them are attacking each other.  What's more, there is only one distinct solution, and the solution is symmetrical!  The solution is (call the new files i and j): a3, b6, c9, d1, e4, f7, g10, h2, i5, j8.

  • 5 years ago

    nicagui

    This is another solution: Qf1, Qd2, Qb3, Qh4, Qe5, Qg6, Qa7, Qc8: The solution is to put first a queen in every row. then verify that any of the queens are in differents files. Finally you have to verify the diagonals: 4 black and 4 white.

  • 5 years ago

    jonatz_elise

    Wow! I thought that there's no solution to that puzzle!!! Once my classmates are trying to solve that puzzle......not one of us solved it. Here is one of the diagrams that we only put 7 queens

  • 6 years ago

    markus99

    good

  • 6 years ago

    punkyboy

    Wow!

  • 6 years ago

    h777

    I'snt the black king checkmated already! It would be so cool to fill the board with queens! except for 3 squares!

  • 6 years ago

    TNegron

    Cool...Smile

  • 6 years ago

    jeremy95

    "It wont let me move any pieces"

    It isnt a puzzle to solve... its just a diagram.

  • 6 years ago

    polp

    It wont let me move any pieces

Back to Top

Post your reply: