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 and 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 first 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 the magic squares of order 5 x 5.
Now we will see all the properties of 5 x 5 magic squares one by one. Let us examine the magic squares in which we choose the first row to contain 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) Fourth 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
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