91-Magic Square-12 (Software (5 x 5) part-3)

Click here for the previous part of the magic square.

This is the third part of the 5x5 magic square software.

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.

Now the software is uploaded and ready to use.

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.

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. 

In the previous blogs (99 and 100), we studied the following points.

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

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

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

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

5) Addition of all the numbers in different patterns 01 : (21 to 45)

Here we define some names for the elements available in the cells of the magic square.

Let us define A₁₁ as the element in the 1st row 1st column. Similarly, the element at the 3rd row and 4th column will be defined as A_34.

     a) The first element at First row Pattern A₁ : (21-25/45)

Here, the addition of all the numbers placed at these places is the same and it is 165.

   b) the First element at Second-row Pattern A₂ : (26-30/45)

Here, the addition of all the numbers placed at these places is the same and it is 165.

  c) the First element at Third-row Pattern A₃ : (31-35/45)

Here, the addition of all the numbers placed at these places is the same and it is 165.

  d) the First element at Forth row Pattern A₄ : (36-40/45)

Here, the addition of all the numbers placed at these places is the same and it is 165.

  e) the First element at Fifth row Pattern A₅ : (40-45/45)

Here, the addition of all the numbers placed at these places is the same and it is 165.

6) Addition of all the numbers in different patterns 02 : (46 to 70)

     a) The first element at First row Pattern A₁ : (46-50/70)

Here, the addition of all the numbers placed at these places is the same and it is 165.

  b) The first element at Second-row Pattern A₂ : (51-55/70)

Here, the addition of all the numbers placed at these places is the same and it is 165.

  c) The first element at Third-row Pattern A₃ : (56-60/70)

Here, the addition of all the numbers placed at these places is the same and it is 165.

  d) The first element at Forth row Pattern A₄ : (61-65/70)

Here, the addition of all the numbers placed at these places is the same and it is 165.

  e) The first element at Fifth row Pattern A₅ : (66-70/70)

Here, the addition of all the numbers placed at these places is the same and it is 165.

7) Addition of all the numbers in different patterns 03 : (71 to 95)

 a) The first element at First row Pattern A₁ : (71-75/95)

Here, the addition of all the numbers placed at these places is the same and it is 165.

  b) The first element at Second-row Pattern A₂ : (76-80/95)

Here, the addition of all the numbers placed at these places is the same and it is 165.

  c) The first element at Third-row Pattern A₃ : (81-85/95)

Here, the addition of all the numbers placed at these places is the same and it is 165.

  d) The first element at Forth row Pattern A₄ : (86-90/95)

Here, the addition of all the numbers placed at these places is the same and it is 165.

  e) The first element at Fifth row Pattern A₅ : (91-95/95)

Here, the addition of all the numbers placed at these places is the same and it is 165.

8) Addition of all the numbers in different patterns 04 : (96 to 120)

 a) The first element at First row Pattern A₁ : (96-100/120)

Here, the addition of all the numbers placed at these places is the same and it is 165.

  b) The first element at Second-row Pattern A₂ : (101-105/120)

Here, the addition of all the numbers placed at these places is the same and it is 165.

  c) The first element at Third-row Pattern A₃ : (106-110/120)

Here, the addition of all the numbers placed at these places is the same and it is 165.

  d) The first element at Forth row Pattern A₄ : (111-115/120)

Here, the addition of all the numbers placed at these places is the same and it is 165.

  e) The first element at Fifth row Pattern A₅ : (116-120/120)

Here, the addition of all the numbers placed at these places is the same and it is 165.

Now you can observe all the above 120 additions for your two magic squares prepared by using the following software. here their first rows will be of 5 numbers of your choice.

Click here for 5x5 magic square software. and click here to see the calculation sheet of your magic squares

Click here for the next part of the magic square.

ANIL SATPUTE