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Magic squares (most perfect, [Franklin] panmagic & inlaid)
Detailed explanation about the structure and construction of magic squares
3x3 magic square
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How to produce 3x3 magic squares: read the story of Lowi
  
Hello I am Lowi, a five thousand year old turtle. I live in the river Lo (the yellow river) in China. Here’s my
story!
 
When I was young (in the year 2800 before Christ) I was a servant of the river god. When the river god was
angry the river would overflow. The people of a village near by the river would place a gift by the bank of the
river. They hoped the river god would accept the gift, and the river would not overflow again. Each time as
the villagers placed a gift by the bank of the river I would come out of the river and walk around the gift.
One day there was a little boy near by the river. He looked at my shell and saw that my shell-pattern consisted
of nine cells. The nine cells contain 1, 2, 3, 4, 5, 6, 7, 8 or 9 dots. He repeatedly counted the dots of 3 cells
(horizontal, vertical or diagonal) in a row. Each time the little boy counted 15 dots.
The little boy went to the headman of the village and told him about the spots on my shell. The headman orga-
nised a meeting. The villagers deceided to place 15 gifts by the bank of the river.
I came out of the river and I walked 15 times around the presents. That’s a long time for a turtle! Then the river
god appeared. He accepted the gifts and indicated to the villagers that the river would not overflow again.
 
So, that was a pretty exciting story, wasn’t it! Would you like to find out how to make the magic square from
my story. There are eight different ways to make the 3x3 magic square. You will need the following 3 instruc-
tions for this:
 
[instruction 1]   Always put the 5 in the middle of the square.
[instruction 2]   Always put the 2, 4, 6 and 8 always in one of the corners of the square.
[instruction 3]   Always put the 2 and 8 and the 4 and 6 always in the same diagonal (so not
            in the same row or the same column).
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
5
 
 
 
 
5
 
 
 
 
5
 
 
 
 
5
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
5
 
 
 
 
5
 
 
 
 
5
 
 
 
 
5
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Print this page and get stuck in.
 
 
Have fun!!!


More information on page:  
3x3 magic square, explanation



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Magic squares|Contact / guestbook|Most magic square per order|3x3 magic square|3x3 magic square, explanation|Sudoku method (1)|Sudoku method (2)|Sudoku method (3)|Pan magic 4x4 square|Pan magic 4x4 square, explanation|Pan magic 4x4 square, binary|Dürer & Franklin transformation|Transformation method|Transformation method, analysis|[ultra] pan magic 5x5 square|Pan magic 5x5 square, explanation|6x6 magic square|Ultra (pan)magic 8x8 square|Most perfect magic squares, explanation|8x8 most perfect magic squares, binary|Khajuraho method|Khajuraho method, explanation|Basic pattern method (1a)|Basic pattern method (1b)|Basic pattern method (2)|Basic pattern method (3a)|Basic pattern method (3b)|Basic pattern method (3c)|Basic pattern method (4)|Basic pattern method (5)|Basic pattern method (6)|Basic pattern method (7a)|Basic pattern method (7b)|Analysis Franklin panm. 8x8 (1)|Analysis Franklin panm. 8x8 (2)|Basic key method (1)|Basic key method (2)|Quadrant method (Willem Barink)|Quadrant method group 1 up to 5|Quadrant method group 6 up to 10|Quadrant method group 11 up to 19|[ultra] pan magic 9x9 square (1)|pan magic 9x9 square (2)|pan magic 9x9 square (3)|3x extra magic 9x9 square|10x10 magic square|Composite 12x12 magic square|14x14 magic square|[Ultra] pan magic 15x15 square|3x extra magic 15x15 square|The perfect magic square|3x extra magic 18x18 square|Ultra pan magic 25x25 square|[ultra] pan magic 27x27 square|[ultra] pan magic 35x35 square|extra magic 35x35 square|Bordered squares|Inlaid square (1)|Inlaid square (2)|Each magic sum|Water retention challenge|Most magic 4x4x4 cube|Perfect (Nasik) magic 8x8x8 cube|[More than] perfect magic 9x9x9 cube|Trick with 8x8 bimagic square|Favorite Links