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An alternative method
to construct
“Magic Square 3x3”
Conditions:
1. We are going to complete this magic
square with integers 1 to 9.
2. The Sum of the Numbers is 15 (SN=15)
3. We are not tend to find out Desired
Number (DN).
Step 1
Construct blank
magic square 3x3.
(Third Order)
Step 2
Fill every corner
(yellow) with even
number; 2,4, 6,8
in “z-mode
sequence” as
shown in diagram.

2

4

6

8
Step 3
Fill the blank blue
boxes with this
calculation.

2

4

6

8

2 + ___ + 4 = 15
6 + ___ + 8 = 15
2 + ___ + 6 = 15
4 + ___ + 8 = 15
Remember:
The Sum of the
numbers is 15
Step 4
Complete the
blank blue boxes
2
9
2 + ___ + 4 = 15
1
6 + ___ + 8 = 15
7
2 + ___ + 6 = 15
3
4 + ___ + 8 = 15

9

7

6

4
3

1

8
Step 5
“The missing
number” is 5
2
Insert 5 in the
middle of this
magic square.

9

4

7

5

3

6

1

8
“The Outcome”
Sum of the numbers
in this third order is
15. Sometimes, 15
is called as
“Starting Number” (
SN = 15 )

15

15

15

15

2

9

4

15

7

5

3

15

6

1

8

15

15
Thanks for viewing…

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Alternative Method Constructing Magic Square 3x3 ( Third Order )

  • 1. An alternative method to construct “Magic Square 3x3” Conditions: 1. We are going to complete this magic square with integers 1 to 9. 2. The Sum of the Numbers is 15 (SN=15) 3. We are not tend to find out Desired Number (DN).
  • 2. Step 1 Construct blank magic square 3x3. (Third Order)
  • 3. Step 2 Fill every corner (yellow) with even number; 2,4, 6,8 in “z-mode sequence” as shown in diagram. 2 4 6 8
  • 4. Step 3 Fill the blank blue boxes with this calculation. 2 4 6 8 2 + ___ + 4 = 15 6 + ___ + 8 = 15 2 + ___ + 6 = 15 4 + ___ + 8 = 15 Remember: The Sum of the numbers is 15
  • 5. Step 4 Complete the blank blue boxes 2 9 2 + ___ + 4 = 15 1 6 + ___ + 8 = 15 7 2 + ___ + 6 = 15 3 4 + ___ + 8 = 15 9 7 6 4 3 1 8
  • 6. Step 5 “The missing number” is 5 2 Insert 5 in the middle of this magic square. 9 4 7 5 3 6 1 8
  • 7. “The Outcome” Sum of the numbers in this third order is 15. Sometimes, 15 is called as “Starting Number” ( SN = 15 ) 15 15 15 15 2 9 4 15 7 5 3 15 6 1 8 15 15