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Consider this Magic Square
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| 1 |
15 |
14 |
4 |
| 12 |
6 |
7 |
9 |
| 8 |
10 |
11 |
5 |
| 13 |
3 |
2 |
16 |
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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.
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