Posers and Puzzles

Posers and Puzzles

  1. Berea Abbyss School
    Joined
    09 Sep '03
    Moves
    147
    06 Oct '03 14:25
    How many different spuares are there on a 8x8 checherboard?

    You can find more than 64 I'll give you that much.

    Explain your answer and how you did it.
  2. Joined
    26 Apr '03
    Moves
    26599
    10 Oct '03 08:43
    Originally posted by Lord Burn
    How many different spuares are there on a 8x8 checherboard?

    You can find more than 64 I'll give you that much.

    Explain your answer and how you did it.
    1^2 + 2^2 + 3^2 + 4^2 + 5^2 + 6^2 + 7^2 + 8^2
    = 204
    [ = 8*(2*8+1)*(8+1)/6 from the formula for the sum of consecutive squares]

    We get this because there is one way of placing an 8*8 square on the chessboard, four ways of placing a 7*7 square etc.
  3. Joined
    26 Apr '03
    Moves
    26599
    10 Oct '03 08:54
    Originally posted by Lord Burn
    How many different spuares are there on a 8x8 checherboard?

    You can find more than 64 I'll give you that much.

    Explain your answer and how you did it.
    Here's another one

    You have 3d chessboard of size N^3

    How many different vertical and horzontal squares are there on this chessboard?
  4. Standard memberTheMaster37
    Kupikupopo!
    Out of my mind
    Joined
    25 Oct '02
    Moves
    20443
    12 Oct '03 13:42
    Originally posted by Lord Burn
    How many different spuares are there on a 8x8 checherboard?

    You can find more than 64 I'll give you that much.

    Explain your answer and how you did it.
    2, a white one and a black one.
  5. Amsterdam
    Joined
    26 Jan '03
    Moves
    27540
    15 Oct '03 11:54
    Originally posted by TheMaster37
    2, a white one and a black one.
    I guess that's Dutch Logic...😀

    Olav
  6. Standard memberroyalchicken
    CHAOS GHOST!!!
    Elsewhere
    Joined
    29 Nov '02
    Moves
    17317
    15 Oct '03 22:29
    Originally posted by iamatiger
    Here's another one

    You have 3d chessboard of size N^3

    How many different vertical and horzontal squares are there on this chessboard?
    Well, in each of the cubes you've got an uncountable infinity of squares.
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