Magic squares
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Magic squares are a set of numbers, arranged in a set of 3 × 3 or 4 ×4
or 5 × 5 squares, in which all the
Vertical, Horizontal and both diagonal totals are equal.
Normally a 3 ×
3 magic square natural numbers 1 to 9 are used, and for 4 × 4 numbers 1 to 16
are to be used. In general for a “n × n” magic square
numbers “1 to n2” are to be
used. And the total of the magic square
must be “(1 + n 2) divided by two and
multiplied by ‘n’ (number of rows.). (First number plus last number to be added, and divided by two, and multiplied by the
number of rows). These magic squares
can be done from 3 ×3, 4×4…..up to any highest number in the world.
Do you know the the first Magic Square with Magical constant 15 is called Lo-shu Magic square?
King Yu found a tortoise in 12th century with magical constant 15 on its top.
Magic squares
can also be made with using fractions, zeros, negative numbers, with squares,
cubes also. We can make magic squares
for a given date of birth, or for a given number etc. etc.
Example:
For 3 × 3 magic square numbers 1 to 9 are
to be used.
The row total will be 1+9=10 /2 =5 × 3=15.
3 × 3 Magic
square: Total 15. 3 × 3 Total 2019
8
|
1
|
6
|
3
|
5
|
7
|
4
|
9
|
2
|
676
|
669
|
674
|
671
|
673
|
675
|
672
|
677
|
670
|
4 × 4 Magic
square total 34.
{(1+
16) /2} × 4 = 34 4 × 4 Total 2022
16
|
2
|
3
|
13
|
5
|
11
|
10
|
8
|
9
|
7
|
6
|
12
|
4
|
14
|
15
|
1
|
513
|
499
|
500
|
510
|
502
|
508
|
507
|
505
|
506
|
504
|
503
|
509
|
501
|
511
|
512
|
498
|
5 × 5 Magic square Total 2020 5 × 5 Magic Square Total =65
408
|
415
|
392
|
399
|
406
|
414
|
396
|
398
|
405
|
407
|
395
|
397
|
404
|
411
|
413
|
401
|
403
|
410
|
412
|
394
|
402
|
409
|
416
|
393
|
400
|
17
|
24
|
1
|
8
|
15
|
23
|
5
|
7
|
14
|
16
|
4
|
6
|
13
|
20
|
22
|
10
|
12
|
19
|
21
|
3
|
11
|
18
|
25
|
2
|
9
|
Total 1+25= 26/2=13
Srinivasa Ramanujan Birthday Magic Square
(Srinivasa Ramanujan 22-12-1887 to 26-04-1920)
Kindly
follow the simple procedure to unlock the mystery to do the same.The
following is a table with variables, which we will use in the explanation
22
|
12
|
18
|
87
|
68
|
50
|
17
|
4
|
35
|
21
|
51
|
32
|
14
|
56
|
53
|
16
|
Total 139
A
|
B
|
C
|
D
|
E
|
F
|
G
|
H
|
P
|
Q
|
R
|
S
|
W
|
X
|
Y
|
Z
|
1)
Write the date in the top row first square (22), month in the second square (12) and year in two parts in the third (18)
and fourth square (87)
2)
Add all the four numbers and write on the top of the square (139).
3) Now we have to make a 4 × 4 magic square for the
Total 139
4)
Draw
a empty 4 × 4 square and replace 22 by A, 12 by B, 18 by C and 87 by D.
5)
Now we know A, B, C and D. Rest of
the values we have to find out.
6)
Count all numbers in the total 1+ 3 + 9 = 13. Then 1+ 3 = 4. (add all
numbers and make it a single digit. Write this in the H square
7)
Now add B + C ( 12 + 18 = 30). Spilt 30
into two parts. i.e 14 and 16. Write
14 in W square and 16 in the Z square
8)
By using the properties of Magic square, i.e all
vertical, Horizontal and both Diagonal totals are equal, we are going to solve
this Magic Square.
9)
In the Fourth vertical column, we
know the values of D, H, Z. We have to find Out the value of S. Hence S = 139 – ( D + H + Z ) = 139 — ( 87 + 4 + 16
) = 139 – 107 = 32. This is the value of S. Write 32 in the S square
10)
Now in Diagonals, we know the value
of A
and Z . Hence the value of F + R =
139 – (22 + 16) = 139 - 38= 101. Split
101 into two parts 50 and 51 and
write it in the F and R squares. F = 50
and R = 51.
11) In another diagonal, we know the value of D and W . Hence the value of G + Q = 139 – ( 87 + 14 ) = 139 - 101 = 38.
Split it into two parts 17 and 21 and write it in the F and R squares. G = 17 and Q = 21.
12) In the second row, we know the value of F, G, H. Hence value of E = 139 - ( F + G + H ) = 139 – ( 50 + 17 +
4 )= 139 – 71 = 68. Write 68 in E.
13) In the third row, we know the value of Q , R , S. Hence value of P = 139
- ( Q + R+S) = 139 – ( 21 + 51 + 32 ) = 139 – 104 = 35. Write 35 in P.
14) Now in the second vertical column, we know the
values of B, F, Q. Hence value of X = 139
– (12 + 50 + 21 ) = 139 - 83 = 56. Write
56 in X
15) Now in the third vertical column, we know the values
of C, G, R. Hence value of Y = 139 – ( 18 + 17 + 51 ) = 139 - 86 = 53. Write 53 in Y
16) Now add the values of W, X, Y and
Z. You will get 139, the total of the Magic square
VOW
!!! MAGIC SQUARE FOR 22 - 12 - 1887 IS
READY. All the vertical, Horizontal and
both diagonal totals are equal to 139.
Enjoy
Magic square for your date of Birth too !!!
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