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Posers and Puzzles

Posers and Puzzles

  1. 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. 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. 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 member TheMaster37
    Kupikupopo!
    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. 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 member royalchicken
    CHAOS GHOST!!!
    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.