Alternative Method Constructing Magic Square 3x3 ( Third Order )

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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).

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Transcript of Alternative Method Constructing Magic Square 3x3 ( Third Order )

Page 1: Alternative Method Constructing Magic Square 3x3 ( Third Order )

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).

Page 2: Alternative Method Constructing Magic Square 3x3 ( Third Order )

Step 1

Construct blank magic square 3x3.(Third Order)

Page 3: Alternative Method Constructing Magic Square 3x3 ( Third Order )

2 4

6 8

Step 2

Fill every corner (yellow) with even number; 2,4, 6,8 in “z-mode sequence” as shown in diagram.

Page 4: Alternative Method Constructing Magic Square 3x3 ( Third Order )

2 4

6 8

Step 3

Fill the blank blue boxes with this calculation.

2 + ___ + 4 = 15

6 + ___ + 8 = 15

2 + ___ + 6 = 15

4 + ___ + 8 = 15

Remember: The Sum of the numbers is 15

Page 5: Alternative Method Constructing Magic Square 3x3 ( Third Order )

Step 4

2 + ___ + 4 = 15

6 + ___ + 8 = 15

2 + ___ + 6 = 15

4 + ___ + 8 = 15

9

1

7

3

2 9 4

7 3

6 1 8

Complete the blank blue boxes

Page 6: Alternative Method Constructing Magic Square 3x3 ( Third Order )

Step 5

“The missing number” is 5

Insert 5 in the middle of this magic square.

2 9 4

7 5 3

6 1 8

Page 7: Alternative Method Constructing Magic Square 3x3 ( Third Order )

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

“The Outcome”15 15 15 15

2 9 4 15

7 5 3 15

6 1 815

15

Page 8: Alternative Method Constructing Magic Square 3x3 ( Third Order )

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