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Mathematical implications of Sam Lloyd's "15" Puzzle

Some funny logical problems with the 15 game

"15" Puzzle of Sam Lloyd

In this website you will find logical games, mind games, brain games. This one is an online game, but you will find soon, some totally new and original logical games!


  1. Problem: Start from this position:

    1234
    5678
    9101112
    131514 

    and put the tiles in these positions:

    1234
    5678
    9101112
    131415 

    Solution: The answer is to obtain first the position below (which can be obtained, because it's an odd permutation):

    13951
    141062
    151173
     1284

    then, you must rotate the table by 90 deg. to the left:

    I hope you have notice the tiles are in the same positions like in the given image, and they are in the same order too (the trick is the numbers are rotated...).

  2. Problem: Can you move the tiles so that the sum on the rows, columns or the two big diagonals to be always 30?

    Solution:

    122115
    79104
    11568
     14133

  1. Play online Sam Lloyd's "15" puzzle
  2. The funny story of this game
  3. Mathematical implications of this game
  4. Some funny logical problems with the 15 game

Mathematical implications of Sam Lloyd's "15" Puzzle

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"15" Puzzle of Sam Lloyd