Recently I had an opportunity to see a Heptagonal Puzzle done by the Famous Mathematician Henry Dudeney (1847 – 1930).
It is a puzzle with seven sides and each meeting point and the middle of the line are placed with some numbers. The numbers are so arranged that any two numbers on two continuous points and one middle number betwwen them will always give a total of 26.
As a puzzle lover it attracted me to expand this puzzle in a bigger way.
In my first attempt after so many trail and errors I made my first puzzle with numbers 1 to 22 with total of 40
Then I expanded it from 1 to 46 with a total of 82
Now I made a Biggest one successfully with all numbers from 1 to 210 with a total of 369, and it is in a zig zag form with the same concept.
Hope you can enjoy and get some idea and enjoy Maths in a easy way.
Best of luck, kindly go through my website www.jollymaths.com
There are so many other mind boggling games in the Chess Board, other than playing chess.
Some of the puzzles are given below
In a 8 x 8 Chess Board, you can put a maximum of 8 Queens ( each one is to be treated with the power of QUEEN).
One of the position is given below. There are 8 Queens available and check and satisfy by yourself that they are not cutting each other .
Believe. There are 92 different methods available. Try by yourself to find out more methods. Enjoy the new experience
64 knight(Horse) movement in a chess board. It is one of the hardest puzzles that can be solved by the Human Brain.
It is very tough to do, but it is possible.
Draw a 8 x 8 squares in a paper with Ballpoint pen and start writing 1,2,3 etc with a pencil. Start number one anywhere and continue the next number in a knight move method, till you are reaching 64.
See the magical thing in the picture given below. In the outer ring all the diagonally opposite numbers are having a difference of 6. Also in the second inner ring also the diagonally opposite numbers are giving a difference of 6 excepting 10 and 64
Some of my students ( Eighth Standard – 13 years) in Madurai have done more than 10 different methods. You can find infinite ways of doing this. Best wishes.
FIRST ROW PIECES PROBLEM
There are eight pieces available in the first row of the Chess Board.
They are One King, One Queen, two Bishop (camel) and two Knight (Horse) and two Rook (Elephant).
With these Eight pieces, when placed in some proper positions, they will guard all the sixty four squares with their own power. Please check and satisfy by yourself.
Once again, there are so many different methods available. Try to do it more and more methods
64 King move in a chess Board and 8 x 8 Magic square
In the following chess board, one King starts from number one and make 64 moves and completes his journey without any break.
Finally, if you add the numbers it will give a total of 260 in all vertical, Horizontal and both diagonals. Yes. It is a 8 x 8 Magic square also.
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.
Having worked on a variety of special Magic squares ourselves, we could not think of a greater tribute to Srinivasa Ramanujan than this!
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.
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