Sunday, July 26, 2015

Magic Square Software (5 x 5) part-2

BLOG-100


Second Part of Magic Square Software (5 x 5). Click here to read "Magic Square Software (5 x 5) part-1"


Prepare your own two magic squares of 5 rows and 5 columns in which 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. Software will give you two different magic squares with your chosen numbers are in 1 st row. These two magic squares have 120 types of same addition.

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

The software of magic squares of order 5 x 5 will be uploaded shortly.


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 as 9, 21, 34, 45 and 56. Following two magic squares will be obtained by the software. 


Now in continuation of the previous blog (Blog-99) we will see remaining types of addition:


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

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

Anil Satpute