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MOLS ¨

 

 

MOLS 8- (. http://www.natali1mak.narod.ru/mols8.htm ). - () . 8 , 4. MOLS 4- , , . (. 1):

 

 

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. 1

 

MOLS, ( 0, 1, 2, 3). , ; , . MOLS 8- , ( ).

90 . MOLS (. 2):

 

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. 2

 

, 11 . MOLS . 3.

 

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, a 3.

 

. , . 4- . , 36 ( ). :

 

 

1 2 3 4

3 0 0 0 0 3 0 0 0 0 3 0 0 0 0 3 0 0 0 0

0 3 0 1 2 0 3 0 1 2 0 3 0 1 2 0 3 0 1 2

0 0 3 2 1 0 0 3 2 1 0 0 3 2 1 0 0 3 2 1

0 1 2 3 0 0 2 1 0 3 1 0 2 1 3 1 2 0 3 1

 

5 6 7 8

3 0 0 0 0 3 0 0 0 0 3 0 0 0 0 3 0 0 0 0

0 3 0 1 2 0 3 0 1 2 0 3 0 1 2 0 3 0 1 2

0 0 3 2 1 0 0 3 2 1 0 1 2 3 0 0 1 2 3 0

2 0 1 3 2 2 1 0 2 3 0 0 3 2 1 0 2 1 0 3

 

9 10 11 12

3 0 0 0 0 3 0 0 0 0 3 0 0 0 0 3 0 0 0 0

0 3 0 1 2 0 3 0 1 2 0 3 0 1 2 0 3 0 1 2

0 1 2 3 0 0 1 2 3 0 0 1 2 3 0 0 1 2 3 0

1 0 2 1 3 1 1 3 0 2 2 1 0 2 3 2 2 3 1 0

13 14 15 16

3 0 0 0 0 3 0 0 0 0 3 0 0 0 0 3 0 0 0 0

0 3 0 1 2 0 3 0 1 2 0 3 0 1 2 0 3 0 1 2

1 1 3 0 2 1 1 3 0 2 1 1 3 0 2 1 1 3 0 2

0 1 2 3 0 0 2 1 0 3 1 0 2 1 3 1 2 0 3 1

 

17 18 19 20

3 0 0 0 0 3 0 0 0 0 3 0 0 0 0 3 0 0 0 0

0 3 0 1 2 0 3 0 1 2 0 3 0 1 2 0 3 0 1 2

1 1 3 0 2 1 1 3 0 2 1 2 0 3 1 1 2 0 3 1

2 0 1 3 2 2 1 0 2 3 0 0 3 2 1 0 2 1 0 3

 

21 22 23 24

3 0 0 0 0 3 0 0 0 0 3 0 0 0 0 3 0 0 0 0

0 3 0 1 2 0 3 0 1 2 0 3 0 1 2 0 3 0 1 2

1 2 0 3 1 1 2 0 3 1 1 2 0 3 1 1 2 0 3 1

1 0 2 1 3 1 1 3 0 2 2 1 0 2 3 2 2 3 1 0

 

25 26 27 28

3 0 0 0 0 3 0 0 0 0 3 0 0 0 0 3 0 0 0 0

0 3 0 1 2 0 3 0 1 2 0 3 0 1 2 0 3 0 1 2

2 0 1 3 2 2 0 1 3 2 2 0 1 3 2 2 0 1 3 2

0 0 3 2 1 0 2 1 0 3 1 0 2 1 3 1 1 3 0 2

 

29 30 31 32

3 0 0 0 0 3 0 0 0 0 3 0 0 0 0 3 0 0 0 0

0 3 0 1 2 0 3 0 1 2 0 3 0 1 2 0 3 0 1 2

2 0 1 3 2 2 0 1 3 2 2 2 3 1 0 2 2 3 1 0

2 1 0 2 3 2 2 3 1 0 0 1 2 3 0 0 2 1 0 3

 

33 34 35 36

3 0 0 0 0 3 0 0 0 0 3 0 0 0 0 3 0 0 0 0

0 3 0 1 2 0 3 0 1 2 0 3 0 1 2 0 3 0 1 2

2 2 3 1 0 2 2 3 1 0 2 2 3 1 0 2 2 3 1 0

1 0 2 1 3 1 2 0 3 1 2 0 1 3 2 2 1 0 2 3

 

, . . . , , , . , , 36 , . . .

 

: a.

 

1.

 

1 2 3

3 0 0 0 0 3 0 0 0 0 3 0 0 0 0

0 3 0 1 2 0 3 0 1 2 0 3 0 1 2

0 0 3 2 1 0 0 3 2 1 0 0 3 2 1

0 1 2 3 0 0 1 2 3 0 0 1 2 3 0

0 2 1 0 3 1 0 2 1 3 2 1 0 2 3

 

MOLS . , , , . . 4 6 MOLS, .

 

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1 2 3

3 0 0 0 0 3 0 0 0 0 3 0 0 0 0

0 3 0 1 2 0 3 0 1 2 0 3 0 1 2

0 0 3 2 1 0 0 3 2 1 0 0 3 2 1

0 2 1 0 3 0 2 1 0 3 0 2 1 0 3

0 1 2 3 0 1 2 0 3 1 2 0 1 3 2

 

, . , , . , , , MOLS . , MOLS, , . . 7 9 MOLS, .

 

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. 9

 

 

 

, .

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1 2 3

3 0 0 0 0 3 0 0 0 0 3 0 0 0 0

0 3 0 1 2 0 3 0 1 2 0 3 0 1 2

0 0 3 2 1 0 0 3 2 1 0 0 3 2 1

1 0 2 1 3 1 0 2 1 3 1 0 2 1 3

0 1 2 3 0 1 2 0 3 1 2 0 1 3 2

 

, . ( , ). . 10 12 MOLS, .

 

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. 12

 

, 36 . , 108 MOLS 4- . : ? , , . MOLS. : . , 36 , .

, , : MOLS 4- , , . 1 - 2.

 

, 1 (. 4) , , . 4 90 . . 1. 2 (. 5) . . 13.

 

 

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. 13

 

, . , 4- ! . 14 , ; . , ( ).

 

 

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. 14

 

, . 13 23 . , 24 3 ( ). , 3 4- .

 

 

5 2009 .

.

 

 

 

:

 

http://www.klassikpoez.narod.ru/glavnaja.htm

 

:

 

http://narod.ru/disk/5834353000/Magic_squares.pdf.html

 

 

, , :

 

http://narod.ru/disk/5936760000/pozic4.pdf.html

 

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