Ramanujan magic birtday square
Mr. Lawrence Humphrey from Canada pointed out to me the Ramanujan magic birthday square. See the trick of a 12 year old boy from India, using your own date of birth to construct a 4x4 magic birthday square.
Fill in your day of birth: DD-MM-YY-YY:
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27 |
1 |
19 |
66 |
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Fill in the same numbers in the remaining cells and put in each row the numbers in a different order (1-2-3-4, 4-3-2-1, 2-1-4-3 respectively 3-4-1-2; see colours):
|
27 |
1 |
19 |
66 |
|
66 |
19 |
1 |
27 |
|
1 |
27 |
66 |
19 |
|
19 |
66 |
27 |
1 |
Add the following numbers to the numbers of the square to get 16 different numbers:
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0 |
0 |
0 |
0 |
|
1 |
-1 |
-3 |
3 |
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-2 |
2 |
2 |
-2 |
|
1 |
-1 |
1 |
-1 |
See below the result:
|
27 |
1 |
19 |
66 |
|
67 |
18 |
-2 |
30 |
|
-1 |
29 |
68 |
17 |
|
20 |
65 |
28 |
0 |
See the download below to check if each row, column and diagonal gives the same magic sum and construct your own birthday magic square.
