Category Archives: Variant

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!!

Done a World’s biggest 1999 x 1999 Diamond inlaid magic square ( All numbers from 1 to 39,96,001 used) Example: 21 x 21 Diamond inlaid magic squares is given here. (With numbers 1 – 441 )

Diamond inlaid magic square is a very special magic square. It will have all odd numbers placed in the center in a Diamond shape and all even numbers distributed in four seperate triangular shape in the four corners.

In the above 21 x 21 diamond inlaid magic square, all the numbers from 1 to 441 are used. All the vertical, Horizontal and both diagonal totals are equal to 4641.

Surprisingly around the center number 221, all the diagonally opposite postioned numbers, and symetrically opposite positioned numbers will give a total of 442. There are 441 – 1 = 440 / 2 = 220. We can get it in 220 different methods.

I have done a 1999 x 1999 Diamond inlaid magic square in which all the numbers from 1 to 39,96,001 are used. All Horizontal, vertical and both diagonal totals will be 399,40,03,999. ( Three hundred ninty nine crores, forty lakhs, three thousand and nine hundred and ninety nine) or 3,994,003,999 ( Three Billion, 994 million, three thousand nine hundred and niniety nine)

Thanks to the Almighty for giving me the idea, guided me, till the final execution to make it a reality.

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.