Category Archives: Srinivasa Ramanujan

“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 www.jollymaths.com

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.

Number puzzle — A unique way (Part Two) Honoring The great Indian Mathematician Srinivasa Ramanujan’s 135th Birth Anniversary in a Unique Jollymaths.com way

The entire world is celebrating the 135th Birth year of the famous Indian Mathematician Srinivasa Ramanaujan. On this occassion we proudly submit a new idea/ puzzle that gives a total of 135

In the above puzzle, count any three successive (two blue squares and one brown square in between) throughout the round, you will get 135

Concept, Design and execution by T.R.Jothilingam, Retired Railway Station Superintendent, Madurai, South India.

Receipient of Ramanujan Award in India in 2016.

Done Five Maths World Records in Sept 2017

Got First place in a worldwide puzzle contest in 2014

Got “Top 100 Maths Genius Award in December 2017

9×54 Ramanujan sudoku

This is a variation of the popular puzzle Sudoku.

Ramanujan Sudoku 9x54
Ramanujan Sudoku 9×54

The word “RAMANUJAN” occupied 89 cells and numbers 1 to 9 are used 9 times each and the balance filled with 1 to 8. 8 along with the properties of NORMAL SUDOKU.

1) The entire word “RAMANUJAN” is first written using 119 squares (or cells).
2) Numbers 1 to 9 are filled inside each of these letters.
3) In total, the numbers 1 to 9 are written 13 times and the remaining cells are filled with 1 and 2.
4) We then take each Sudoku of 9 x 9 individually and fill them. The total number of squares that are covered for the word/letter are filled 1 to 9, the adjacent Sudoku (in the right) will commence with the numbers next to the last with 1 to 9 till it fills in the alphabet in that 9 x 9 Sudoku, and the next word/letter will start with the filled number.
For example, the first sudoku contains 20 squares, that are filled with 1 to 9 two times and the balance with 1 & 2. Hence the next Sudoku will commence with 3 to 9, 1 to 9, and so on.

Srinivasa Ramanujan – 100-by-100 Biography Magic Square

Ramanujan and Magic Squares

Srinivasa Ramanujan had a special affinity toward numbers. His taxi-cab number (1729) incident is popular. A Mathematician without parallel, he made extraordinary contributions to mathematical analysis, number theory, infinite series, and continued fractions. His works have been collected and analyzed throughout the world

Incidentally, in the opening page of the first Ramanujan’s notebook, there begins by working out a 3 x 3 Magic Square!

Having worked on a variety of special Magic squares ourselves, we could not think of a greater tribute to Srinivasa Ramanujan than this!

Summary

This is one of the biggest number puzzles we have done so far! This Biography Magic Square summarizes the important events that happened in the life of Sri Srinivasa Ramanujan.

The important dates in the life of Srinivasa Ramanujan were compiled from various sources. These dates were taken two digits at a time, representing either the date of the month or the month or the first/second half of the four-digit year.      As an example, Ramanujan’s date-of-birth 22-12-1887, is taken as four separate entries as    22    12    18 and 87. In short, Ramanujan’s entire life history is reproduced here, from his birth to till date in  Ramanujan-style.

Srinivasa Ramanujan 100x100 biography MagicSquare
Srinivasa Ramanujan 100 x 100 biography MagicSquare

Construction

Important dates from Ramanujan’s life were collected and these were then arranged horizontally in a row, from left to right. This row would form the top row of this biography magic square. The rest of the magic square is constructed after assembling this row.

This magic square has the properties of a conventional magic square, namely the sum of the entries along each row/column/diagonal sum up to the same magic-sum 2183.

It has these additional properties:
– starting from left to right, or, from top to bottom, we have embedded magic squares of orders 4 x 4 , 8 x 8, 12 x 12, 16 x 16, 20 x 20, and then in increased orders of 25 x25, 30 x 30, 36 x 36, 42 x 42, 49 x 49, 56 x 56, 64 x 64, 72 x 72, 81 x 81, 90 x 90, and finally 100 x 100. This is thus a cascade of magic-squares-inside-a-magic-sqaure!

Thus the total 100 x 100 Ramanujan Biography Magic square will contain the following 184 smaller magic squares of sizes as listed below:


Size of Magic Square      Number of such Magic Squares                       Total Entries


4 x 4  Magic squares          25             25   ( 4 x 4 )           =       400   squares

5 x 5  Magic squares          20             20   ( 5 x 5 )           =       500   squares

6 x 6  Magic squares          24             24   ( 6 x 6 )           =       864   squares

7 x 7  Magic squares          28             28   ( 7 x 7 )           =     1372   squares

8 x 8  Magic squares          32             32   ( 8 x 8 )           =     2048   squares

9 x 9  Magic squares          36             36   ( 9 x 9 )           =     2916   squares

10 x 10  Magic squares     19             19 (10 x 10 )          =     1900   squares


Total                                         184  (Different sized squares)   10,000   Squares


Sidenote

We have constructed a smaller 16 x 16 version of this Biography Magic Square with fewer details, which you can find here.

This was earlier published in an article “A Unique Novel Homage to the Great Indian Mathematician” in the March 2013 (Volume 23, Pg 146-147) Mathematics Newsletter published by the Ramanujan Mathematics Society. (download free).

Srinivasa Ramanujan – 16×16 Biography Magic Square

This Biography Magic Square summarizes the important events that in the life of Sri Srinivasa Ramanujan.

How it was constructed:

Important dates in the life of Ramanujan were taken, two digits at a time, representing either the date or the month or the first or second part of the four-digit year. As an example, Ramanujan’s birth-day 22-12-1887 is taken in four separate entries as 22 12 18 87. These were then laid out in the top of the Magic Square, in the first column. Then, a complete Magic Square was built on top of these numbers, with the following additional feature : each  square indicated by a separate color (in this case, there are 4 such 4×4 sub-sqaures), which are magic squares themselves!

Srinivasa Ramanujan 16x16 biography Magic Square
Srinivasa Ramanujan 16×16 biography Magic Square

(Download Ramanujan_16x16_biography_Magic_Square in excel format).

This is a smaller version of the 100-by-100 and 125-by-125 biography magic squares that we have constructed.

This was earlier published in an article “A Unique Novel Homage to the Great Indian Mathematician” in the March 2013 (Volume 23, Pg 146-147) Mathematics Newsletter published by the Ramanujan Mathematics Society. (download free).

If you find this interesting, you could construct your own! If you want some help, drop a mail to me at contact[at]jollymaths[dot]com.