Alternative Method Constructing Magic Square 3x3 ( Third Order )
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This document outlines 5 steps to construct a 3x3 magic square using integers 1 to 9 where the sum of each row, column and diagonal is 15. It involves first filling the corners with even numbers in a z-pattern, then calculating the missing values using the sum condition. The missing number, 5, is then placed in the center to complete the magic square.
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