Wednesday, July 22, 2015

89-Magic Square-10 (Software (5 x 5) part-1)

Prepare your own two magic squares of 5 rows and 5 columns in which the first row is of your choice. You can enter any 5 numbers between -9999 to 9999 (actually you can enter any number, but for the betterment of the look of the sheet, this restriction is implemented in the software) of your choice in the first row. The software will give you two different magic squares with your chosen numbers in 1 st row. These two magic squares have 120 types of the same addition.

Rows
5
Columns
5
Diagonals
2
Broken Diagonals
8
Different Patterns
100
Total
120

Click the following button for the software of magic squares of order 5 x 5.

5x5 magic square software
Now we will see all the properties of 5 x 5 magic squares one by one. Let us see the magic squares in which we choose the first row with the numbers 9, 21, 34, 45, and 56. The following two magic squares will be obtained by the software. 


Now we will see all types of addition:

1) Addition of all the numbers in the Rows: (1 to 5)

     a) First Row: (1/5)

09 + 21 + 34 + 45 + 56 = 165         09 + 21 + 34 + 45 + 56 = 165

     b) Second Row: (2/5)

44 + 55 + 13 + 20 + 33 = 165         36 + 47 + 53 + 11 + 18 = 165

     c) Third Row: (3/5)

24+ 32 + 43 + 54 + 54 = 165         55 + 47 + 20 + 38 + 44 = 165

     d) Forth Row: (4/5)

55+ 11 + 23 + 36 + 42 = 165         22 + 35 + 46 + 52 + 10 = 165

    e) Fifth Row: (5/5)

35+ 46 + 52 + 10 + 22 = 165         43 + 54 + 12 + 19 + 37 = 165

2) Addition of all the numbers in the Columns: (6 to 10)

     a) First Column: (6/10)

09+ 44 + 24 + 53 + 35 = 165         09 + 36 + 55 + 22 + 43 = 165

     b) Second Column: (7/10)

21+ 55 + 32 + 11 + 46 = 165         21 + 47 + 08 + 35 + 54 = 165

     c) Third Column: (8/10)

34+ 13 + 43 + 23 + 52 = 165         34 + 53 + 20 + 46 + 12 = 165

     d) Forth Column: (9/10)

45 + 20 + 54 + 36 + 10 = 165         45 + 11 + 38 + 52 + 19 = 165

     e) Fifth Column: (10/10)

56 + 33 + 12 + 42 + 22 = 165         56 + 18 + 44 + 10 + 37 = 165

3) Addition of all the numbers in the Diagonals: (11 to 12)

     a) First Diagonal: (11/12)

09 + 55 + 43 + 36 + 22 = 165         09 + 47 + 20 + 52 + 37 = 165

     b) Second Diagonal: (12/12)

56 + 20 + 43 + 11 + 35 = 165         56 + 11 + 20 + 35 + 43 = 165
8 types of broken diagonal addition and 100 types of different patterns of addition will be published in the next blog.

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