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PSYCHIC STUNTS
A VERY MAGIC SQUARE
   
 


Consider this Magic Square

1 15 14 4
12 6 7 9
8 10 11 5
13 3 2 16

Note how:

  • The total of every row = 34
  • The total of every column = 34
  • The total of both diagonals = 34
  • The total of the four cells in every corner = 34
  • The total of the four central cells = 34
  • The total of the four corner cells = 34

Now do this:

  • Take a sheet of paper about 8-10 inches square.
  • Fold the sheet in half four times so that the folds make a 4 x 4 grid of cells. Open out the sheet and make the folds clear and precise (folding both ways will help).
  • Write out the magic square numbers in the cells made by the folds (write the numbers in the centre of each cell).
  • Take a scissors and carefully cut along the folds IN ANY WAY YOU WANT, providing only that you do not detach any portion of the sheet.
  • Now fold together the sections of the sheet (along the folds already made) IN ANY WAY YOU WANT. Try to make the folding as random and convoluted as you can. You can place folds inside folds if you wish. Do this until the sheet is folded into a packet the size of a single cell.
  • Take the scissors and carefully trim the edges of the packet by about a quarter inch, so that all the cells are now separate.
  • Deal the cells out onto the table. You will notice that some of the numbers are face-up and others are face-down, as determined by your random pattern of cutting and folding.
  • Now count up the total of the face-up numbers.
  • Divide this total by two.

Your answer should convince you that this is indeed

A VERY MAGIC SQUARE.


Credits

An original effect based on a principle credited to Henry Dudeney. See also Martin Gardner's (1993). Martin Gardner Presents. USA: Kaufman & Greenberg.

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