Category Archives: Magic Square

“Ramanujan 1729 x 10” World Record event on Magic Squares on the Date of Birth of Srinivasa Ramanujan on 22-12-2022

I conducted a mega World Record event at Madurai with the participation of 1,729 students of the Mannar Thirumalai Nayakar college in Madurai making 17,290 individual date-of-birth Magic Squares to the date of birth of the Great Indian Mathematician Srinivasa Ramanujan (22nd December 1887).

This mega World Record event the was certified by Kalam’s World Records based in Chennai.

This is the most fitting tribute to the Great Indian mathematician Srinivasa Ramanujan on his 135th birth anniversary celebrated worldwide.

Kalam's World Record Certificate - Awarded to Mr. Jothilingam T. R
Kalam’s World Record Certificate – Awarded to Mr. Jothilingam T. R
Award Ceremony after the Event

Here is a video which covers the event (audio is in native language Tamil though).

Srinivasa Ramanujan’s 102nd Remembrance Day 26-4-2022

Honoring the Great Indian Mathematician Srinivasa Ramanujan on his 102nd Remembrance day — An Unique Puzzle by

This is a Unique Puzzle that makes magic squares for his date of Birth on 22-12-1887 and for his 102nd Remembarance day, today(26-4-2022)

On Left side we are having a brown color magic square for 22-12-1887 giving a total of 139 in all vertical, Horizontal and both diagonals.

On the right side we are having a light green color magic square for 26-4-2022 giving a total of 174 in all vertical, Horizontal and both diagonals.

And the balance squares are filled with compensatory numbers.

The final form is a 9 x 9 Magic square is giving a total of 313 in all vertical, Horizontal and both diagonals.


Many different kinds of magic squares available throughout the world.

Upside down Magic square is one among them.

If you view this as shown below, this magic square will give a total of 24 in all Vertical, Horizontal and both Diagonal.

If you turn to 180 degree ( upside down) and then also it will give the same total of 24 in all Vertical, Horizontal and both diagonals.

I have done a 120 x 120 upside down Magic square.

God’s Magic square

Generally a magic square is a square of any size “n x n ” filled with numbers. And after filling the numbers the Vertical, Horzontal and both diagonal totals must be equal.

In general the row total will be smallest number added with the highest number and divided by two, and then multiplied by the number of rows.

This is the minimum condition for any magic square in general.

In this above single square Magic square,

The vertical total is ONE, the Horizontal total is ONE and both Diagonal totals are also ONE

Finally as per the total formula also, 1 + 1 = 2 / 2 = 1 x 1 = 1.

It is satisfying all the conditions of a magic square.

This is called as God’s Magic Square

Puzzle in a 4 x 4 Magic square

It is an interesting mind boggling puzzle.

There is a Magic square given in the left picture. In the right side picture all numbers are replaced by letters.

Normally all Horizontal, vertical and both diagonal totals are equal to 34

ie. A+B+C+D = 34, E+F+G+H = 34 etc….and A+E+P+W = 34 ….

Along with that if you select a set of four alphabets like E+H+R+Y =34.

E+F+R+S = 34 ……..

You can select so many sets of four numbers such that their total comes to 34. Remember there are around 80 different methods.

Try your best to get them

Palindromic Magic Square (விகடகவி மாயச் சதுரம்)

palindrome magic square

A palindrome is “a word, phrase, or sequence that reads the same backwards as forwards“, example madam

We have come up with a new idea of forming palindrome magic square with special feature of repeated numbers along the diagonals!

This is a sample 5 x 5 Palindrome Magic Square. We have also done the same for higher orders including 7 x 7, 11 x 11, and so on! Happy exploring!!

Note: விகடகவி மாயச் சதுரம் in Tamil means Palindrome Magic Square

Diabolic Magic Square

4 x 4 Diabolic Magic Square

The above 4 x 4 Magic square gives a total of 34 across all rows (horizontal), columns (vertical) and both diagonals. ( 4 + 4 + 2 = 10 methods)

Along with that, each distinctly colored 2 x 2 square will give a combined total of 34 each.

Additionally, the four corners, 4 middle numbers will give a total of 34.

We can select, 4 particular numbers and come with a total of 34 in more than 60 different ways.

Explore it for yourself and enjoy!!