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  CREATING MAGIC SQUARES -THE EASY WAY-1   Awaiting Review for Nickels
Tagged with:  magic squares of odd order     academic    [Post New]posted on 28 Mar 2008 19:44:12 IST    
DEAR GOIITIANS,
CREATING MAGIC SQUARES IS NOT AS DIFFICULT AS SOLVING THEM!!
CHECK IT OUT FOR URSELF
IF U ALL LIKE THIS STUFF I WILL BE ENCOURAGED TO CONTRIBUTE MORE ON THE TOPIC
HOPE IT HELPS.................................
PLEASE LEAVE UR PRECIOUS COMMENTS
Creating Magic Squares Is Great Fun-i
Creating Magic squares of odd order-3x3, 5x5, 7x7.....etc
BY NDLL method
Let?s first see the 5x5 magic square (as obtained by NDLL method...... different methods give different squares)
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
 
General Steps (Of NDLL method)
v Place the number 1 in the middle cell of the top most rows.
v Whenever in the top row place the next number in the bottom cell of the next column to the right.
v After this place the numbers proceeding diagonally to the right. Use this step as far as possible.
v When ever in the last column place the next number in the first left cell of the upper row.
v When the above steps are not possible (the cells are not empty) place the next digit in the cell just below.
Formation of 5x5 magic square: using the above steps
·        Place the number 1 in the 3rd cell of the top most rows.
·        According to the step 2 ,2 should be placed in the bottom row of the adjacent column to the right
 
 
1
 
 
 
 
 
 
 
4
 
 
 
 
 
 
 
3
 
 
 
2
 
 
·        According to step 3, 3 should be placed diagonally to right.
·        Since we have reached the last column we cannot proceed    diagonally and according to step 4 place no. 4 in the 1st cell of the upper row.
·        After this we move diagonally to the right and place 5 there.
·        Since further step 2, 3 and 4 fail we follow step 5 and place 6 below 5.
·        Now we can move diagonally and place 7,8
·        We have reached the top most column follow step 2 and place 9 in the next column.
 
 
1
 
 
5
 
 
 
4
6
 
 
 
 
 
 
 
3
 
 
 
2
 
 
 
1
8
 
 
5
7
 
 
4
6
 
 
 
 
 
 
 
3
 
 
 
2
 
   
 
 
 
       
 
 
 
 
 
 
 
 
 
 
 
1
8