Magic square made easy

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Magic square made easy

  1. 1. Magic Square in 3 easy steps
  2. 2. Step 1: Form a Square Matrix • Let ‘n’ be the order of the Magic Square, say 5 • Write numbers 1 to 25 (n x n) in sequence • We are trying to identify the final Matrix from this matrix 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
  3. 3. Step 2: Row and Column Identifier • Form two matrices of same size, one for identifying the row and another for column • Middle column of the matrix are numbered 1 to 5 • Columns on either side are got by subtracting and adding 1 • The second Matrix is a mirror image of the first matrix 4 5 1 2 3 5 1 2 3 4 1 2 3 4 5 2 3 4 5 1 3 4 5 1 2 3 2 1 5 4 4 3 2 1 5 5 4 3 2 1 1 5 4 3 2 2 1 5 4 3
  4. 4. Step 3: Final Matrix • Super impose row and column matrices and find the number for each cell from the corresponding row and column in the first matrix For e.g 4th row 3rd column (Step 2) = 18 (Step 1) 3rd row 5th column (Step 2) = 15 (Step 1) 18 22 1 10 14 24 3 7 11 20 5 9 13 17 21 6 15 19 23 2 12 16 25 4 8
  5. 5. Thank You Works for even big Magic Squares!

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