1. The document discusses the history and mathematics of magic squares from ancient civilizations like Egypt, Babylon, Rome, Arabia, and China to modern times. 2. A magic square is a grid of numbers arranged so that the sum of any row, column, or diagonal is always the same. For example, a 3x3 magic square sums to 15 for each. 3. The earliest known magic square is from China in 800 BC and is still used as a symbol today. It is called Lo Shu and relates to the third row of other magic squares.

1. # 177 public school of
Tbilisi
2 0 1 4

2. Magic square

3. There are maps, which
you can travel the world
in math

4. Mathematics
Egypt
Homeland
geometry
Babylon
Rome
Arabia
China
Most of the old
book
"pi-kingi "
India
Greece
The
Sumerians
invented
cuneiform
script
Pythagoras coined the term
mathematics, Euclid - labor
Faith ~
Introduced in Roman
numerals, which etruskuli
origin
The word algebra
emerged from
aljebrisa
Numbers, which is made of
Indian origin

5. Created in 1514 by the German painter Albert diureris engraving. If
you look at the upper left corner of the square you'll see the size
of 4X4; This is an example of what mathematicians call magic
square

6. What is the magic square?
If any horizontal diureris square columns we collect, we get the 34's. The same will
be accepted for any vertical or diagonal series. This box filled with numbers from 1 to 16.
Squared
If you need to fill it called magic numbers are deployed so that each horizontal, vertical or
diagonal row will be the
The same sum.
For example:
1 to 9 months before 3X3- the square,
1 to 25 on the square for 5X5

7. The third row of the magic
square
In this case the word `number 'quadrant of the
page numbers of the cells. 3X3 square is in the
third row, and the fifth row of the square 5X5.
(Can you explain why?)
There's a third row of the magic
square. If you are searching for
other possible deployment 7, you
can see that they will get in
squares or reflection, or
overturning.
I will help you if you have not
15
15
15
15151515
4 9 2
3 5 9
8 1 6
15

8. The first magic square
This image is considered to be the
most ancient magic squares. It is
said that it first appeared in China in
800 BC, about 2 called Loch-show.
It is still used as a mascot.
You can not explain how they are
related to each other and the third
row of the magic square of Loch
show
I will help you if you have not

9. Diureris magical squared
In the middle of four numbers
gives us a total of 34, as the
curve of the intermittent
short diagonals.
16
3 2
13
811105
9 6 7 12
1
14154
34
34
34
34
343434343434

10. Worked on the project::
Class VI
Teacher: Larisa Kavtaradze