Sunday, July 26, 2015

90-Magic Square-11 (Software (5 x 5) part-2)

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. 

4) Addition of all the numbers in the Broken Diagonals: (13 to 20)

     a) First Broken Diagonal: (13/20)

09 + 33 + 54 + 23 + 46 = 165         09 + 18 + 38 + 46 + 54 = 165

     b) Second Broken Diagonal: (14/20)

44 + 21 + 52 + 36 + 12 = 165         36 + 21 + 12 + 52 + 44 = 165

     c) Third Broken Diagonal: (15/20)

24 + 55 + 34 + 10 + 42 = 165         55 + 47 + 34 + 19 + 10 = 165

     d) Forth Broken Diagonal: (16/20)

53 + 32 + 13 + 45 + 22 = 165         22 + 08 + 53 + 45 + 37 = 165

     e) Fifth Broken Diagonal: (17/20)

56 + 44 + 32 + 23 + 10 = 165         56 + 36 + 08 + 46 + 19 = 165

     f) Sixth Broken Diagonal: (18/20)

45 + 33 + 24 + 11 + 52 = 165         45 + 18 + 55 + 35 + 12 = 165

     g) Seventh Broken Diagonal: (19/20)

34 + 20 + 12 + 53 + 46 = 165         34 + 11 + 44 + 22 + 54 = 165

     h) Eighth Broken Diagonal: (20/20)

21 + 13 + 54 + 42 + 35 = 165         21 + 53 + 38 + 10 + 43 = 165

The remaining 100 types of different patterns of addition will be published in the next blog.

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