Office Applications and Entertainment, Magic Squares

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List of Attachments

Magic Squares (3 x 3):

Attachment 14.1

Simple Magic, Classic

Attachment 14.1.2

Semi Magic,   Seven Magic Lines

Magic Squares (4 x 4):

Attachment 14.2.0

Simple Magic, Classic

Attachment 14.2.2

Pan Magic,    MC = 240 and MC = 252

Attachment 14.2.3

Pan Magic

Attachment 14.2.4

Associated

Magic Squares (5 x 5):

Attachment 14.3.1

Pan Magic

Attachment 14.3.3

Concentric

Attachment 14.3.4

Eccentric

Attachment 14.3.5

Associated

Attachment 14.3.6

Ultra Magic

Attachment 14.3.7

Diamond Inlay,  Associated

Attachment 14.3.8

Diamond Inlay,  Concentric

Attachment 14.3.9

Square Inlay,   General

Attachment 14.3.10

Square Inlay,   Diamond Inlay

Attachment 14.3.11

Anti Symmetric, Corner = s1/5

Attachment 14.3.12

Anti Symmetric, s1/5 eliminated

Magic Squares (6 x 6):

Attachment 14.4.1

Concentric, Pan Magic, General

Attachment 14.4.8

Concentric, Pan Magic, Associated Center Square

Attachment 14.4.3

Concentric, General

Attachment 14.4.4

Concentric, Sub Squares 2 x 2

Attachment 14.4.5

Eccentric

Attachment 14.4.60

Associated, Pan Magic, MC = 990

Attachment 14.4.7

Associated, Pan Magic, Sub Squares 2 x 2

Attachment 14.4.9

Associated, Pan Magic, Compact

Attachment 14.4.6

Most Perfect, Compact and Complete (1)

Attachment 14.4.6a

Most Perfect, Compact and Complete (2)

Attachment 14.8.4

Composed,  Semi Magic Sub Squares 3 x 3

Attachment 14.8.5

Composed,  Associated

Attachment 14.8.6

Composed,  Pan Magic,

Attachment 6.12.2

Pan Magic, Axial Symmetric

Attachment 6.12.3

Pan Magic, Row Symmetric,   Type 1

Attachment 6.12.4

Pan Magic, Row Symmetric,   Type 2

Attachment 6.12.5

Pan Magic, Crosswise Symmetric

Attachment 6.12.7

Pan Magic, Mixed Symmetric, Type 4

Attachment 6.11.6

Simple,    Mixed Symmetric, Type 3

Attachment 6.11.8

Simple,    Mixed Symmetric, Type 5

Attachment 6.11.9

Simple,    Mixed Symmetric, Type 6

Attachment 6.10.3

Rect. Compact, General

Attachment 6.10.4

Rect. Compact, Axial Symmetric

Attachment 6.10.5

Rect. Compact, Row Symmetric, Pan Magic

Magic Squares (7 x 7):

Attachment 14.6.1

Concentric

Attachment 14.6.2

Bordered, Ultra Magic Center Square

Attachment 14.6.3

Bordered, Associated Center Square with Diamond Inlay

Attachment 14.6.4

Bordered, Concentric Center Square with Diamond Inlay

Attachment 14.6.5

Bordered, Center Square with Square Inlay

Attachment 14.6.6

Bordered, Center Square with Square and Diamond Inlay

Attachment 14.6.7

Eccentric,   General

Attachment 14.6.10

Eccentric,   Overlapping Sub Squares

Attachment 14.6.9b

Associated,  Overlapping Sub Squares (4 x 4)

Attachment 14.6.12

Associated,  Diamond Inlays Order 3 and 4

Attachment 14.6.13

Associated,  Square Inlays Order 3 and 4

Attachment 14.6.30

Composed,    Associated Corner Squares and - Rectangles

Attachment 14.6.11

Ultra Magic, General

Attachment 14.6.14

Ultra Magic, Concentric, Square Inlay (a)

Attachment 14.6.15

Ultra Magic, Concentric, Square Inlay (b)

Attachment 14.6.16

Ultra Magic, Order 3 Square Inlays

Attachment 14.6.17

Ultra Magic, Order 3 Square and Diamond Inlay (a)

Attachment 14.6.18

Ultra Magic, Order 3 Square and Diamond Inlay (b)

Attachment 14.6.19

Ultra Magic, Concentric, Diamond Inlay

Attachment 14.6.20

Ultra Magic, Three Cell Patterns

Magic Squares (8 x 8):

Attachment 14.5.1

Composed, Sets of Pan Magic Sub Squares

Attachment 14.5.2

Composed,              Magic Constant 3360

Attachment 14.5.3

Pan Magic Sub Squares, Magic Constant 1680

Attachment 14.6.7a

Composed, Simple, Cube Based, Pan Magic Sub Squares

Attachment 14.6.7b

Composed, Simple, Cube Based, Associated Sub Squares

Attachment 14.6.7d

Composed, Simple, Cube Based, Simple Sub Squares

Attachment 14.5.4

Concentric

Attachment 14.6.23

Bordered, Ultra Magic Center Square, Partly Compact

Attachment 14.6.24

Bordered, Ultra Magic Center Square, Compact

Attachment 14.6.25

Bordered, Most Perfect Pan Magic Center Square

Attachment 14.6.26

Bordered, Composed Center Square

Attachment 14.6.27

Bordered, Composed Center Square, Associated

Attachment 14.7.8

Eccentric, Split Border Lines

Attachment 14.6.32

Composed, Non Symmetric Corner Square

Attachment 14.5.7

Most Perfect, Franklin, Pan Magic

Attachment 14.5.8

Most Perfect, Pan Magic, Compact, Complete

Attachment 14.6.6a

Associated, Most Perfect Pan Magic Square Based

Attachment 14.6.6b

Associated, Cube Based

Attachment 14.6.6c

Associated, Cube Based

Attachment 14.6.6d

Associated, Cube Based, Simple Magic Sub Squares

Attachment 14.6.8

Ultra Magic, Non Overlapping Sub Squares

Attachment 14.6.40

Inlaid, Sub Squares with Different Magic Sums

Attachment 14.6.41

Composed, Magic, Embedded Magic Squares

Attachment 14.6.42

Composed, Pan Magic (Euler)

Attachment 14.6.43

Franklin, Half Rows and Half Columns sum to s1/2
          All Bent Diagonals sum to s1, Compact

Magic Squares (9 x 9):

Attachment 14.7.2

Composed, Overlapping Sub Squares

Attachment 14.7.42

Composed, Overlapping Sub Squares, Partly Symmetric

Attachment 14.7.49

Composed, Overlapping Sub Squares, Associated

Attachment 14.7.32

Composed, Associated Corner Squares Order 3 and 6

Attachment 14.7.11

Composed, Associated Corner Squares Order 4 and 5

Attachment 14.7.43

Composed, Eight Semi Magic Border Squares
          One Magic Center Square

Attachment 14.7.45

Composed, Four Semi Magic Border Squares
          Four Semi Magic Corner Squares
          One Magic Center Square

Attachment 14.7.46

Composed, Four Semi Magic Anti Symmetric Border Squares
          Four Semi Magic Anti Symmetric Corner Squares
          One Magic Center Square

Attachment 14.7.12

Associated, Square Inlays Order 4 and 5

Attachment 14.7.20

Associated, Diamond Inlays Order 4 and 5

Attachment 14.7.21

Inlaid,     Square Inlays Order 3 and 4 (Overlapping)

Attachment 14.7.31

Eccentric,  Overlapping Sub Squares

Attachment 14.7.32

Eccentric,  Associated Corner Squares

Attachment 14.7.7

Eccentric,  Split Border Lines

Magic Squares (9 x 9)
Bordered:

Attachment 14.7.3

Concentric

Attachment 14.7.04

Concentric Center Square with Diamond Inlay

Attachment 14.7.02

Bordered Center Square with, Embedded Ultra Magic Square

Attachment 14.7.03

Bordered Center Square with, Embedded Associated Square with Diamond Inlay

Attachment 14.7.05

Bordered Center Square with, Embedded Square with Square Inlay

Attachment 14.7.06

Bordered Center Square with, Embedded Square with Square and Diamond Inlay

Attachment 14.7.13

Associated Center Square, Square Inlays Order 3 and 4

Attachment 14.7.09

Ultra Magic Center Square

Attachment 14.7.14

Ultra Magic Cntr Sqr with, Order 3 Concentric Square and Square Inlay (a)

Attachment 14.7.15

Ultra Magic Cntr Sqr with, Order 3 Concentric Square and Square Inlay (b)

Attachment 14.7.16

Ultra Magic Cntr Sqr with, Order 3 Square Inlays

Attachment 14.7.17

Ultra Magic Cntr Sqr with, Order 3 Square and Diamond Inlay (a)

Attachment 14.7.18

Ultra Magic Cntr Sqr with, Order 3 Square and Diamond Inlay (b)

Attachment 14.7.19

Ultra Magic Cntr Sqr with, Order 3 Concentric Square and Diamond Inlay

Attachment 14.7.9

Split Border Lines, Center Square order 5

Magic Squares (10 x 10):

Attachment 14.8.51a

Composed, based on Concentric Magic Squares

Attachment 14.8.52a

Composed, based on Eccentric Magic Squares

Attachment 14.8.53a

Composed, based on Ultra Magic Squares

Attachment 14.8.54a

Composed, based on Compact Ultra Magic Squares

Attachment 14.8.55

Composed, based on Associated Composed Magic Squares

Attachment 14.8.51b

Composed, based on Concentric Magic Squares

Attachment 14.8.52b

Composed, based on Eccentric Magic Squares

Attachment 14.8.53b

Composed, based on Ultra Magic Squares

Attachment 14.8.54b

Composed, based on Compact Ultra Magic Squares

Attachment 14.8.56

Composed, based on Eccentric Magic Squares

Attachment 14.8.57

Composed, based on Partly Compact Pan Magic Squares

Attachment 14.8.59

Composed, based on Compact Pan Magic Squares

Attachment 14.8.41

Composed, Crnr Sqrs Order 4 (4 ea)

Attachment 14.9.51

Composed, based on Concentric Magic Squares

Attachment 14.9.52

Composed, based on Eccentric Magic Squares

Attachment 14.9.53

Composed, based on Ultra Magic Squares

Attachment 14.9.55

Composed, based on Associated Composed Magic Squares

Attachment 14.8.66

Composed, Simple Magic Sub Squares (5 x 5)

Attachment 14.8.67

Composed, Pan Magic and Complete (Euler)

Attachment 14.8.61

Concentric, Split Border Lines

Attachment 14.8.70

Bordered, Composed Magic Center Square

Attachment 14.8.71

Bordered, Embedded Ultra Magic Square, Partly Compact

Attachment 14.8.72

Bordered, Embedded Ultra Magic Square, Compact

Attachment 14.8.73

Bordered, Embedded Most Perfect Pan Magic Square

Attachment 14.8.74

Bordered, Embedded Composed Square

Attachment 14.8.75

Bordered, Embedded Composed Square, Associated

Attachment 14.8.76

Bordered, Franklin Pan Magic Center Square
          Most Perfect Pan Magic Center Square

Attachment 14.8.78

Bordered, Ultra Magic Center Square

Attachment 14.8.81

Bordered, Split Border Lines, Center Square order 6

Attachment 14.8.83

Bordered, Composed Border, Center Square order 4

Attachment 14.8.84

Associated, Composed Border, Center Square order 4

Attachment 14.8.82

Eccentric,  Split Border Lines

Magic Squares (11 x 11):

Attachment 14.9.4

Eccentric,  Split Border Lines

Attachment 14.9.7

Associated, Composed Border (1)

Attachment 14.9.8

Associated, Composed Border (2)

Attachment 14.8.16

Associated, Associated Square Inlays Order 5 and 6

Attachment 14.8.5.7

Composed,   Overlapping Sub Squares (1)

Attachment 14.9.8.1

Composed,   Overlapping Sub Squares (2), Order 11

Attachment 14.9.8.2

Composed,   Overlapping Sub Squares (2), Order 15

Attachment 14.8.15

Composed,   Associated Corner Squares and - Rectangles

Magic Squares (11 x 11)
Bordered:

Attachment 14.9.1

Concentric

Attachment 14.9.10

Center Squares with Overlapping Sub Squares

Attachment 14.9.11

Concentric Center Squares with Diamond Inlay

Attachment 14.9.14

Brdrd Cntr Sqr, Emb Ultra Mgc Sqr with, Conc. Square and Square Inlay (a)

Attachment 14.9.15

Brdrd Cntr Sqr, Emb Ultra Mgc Sqr with, Conc. Square and Square Inlay (b)

Attachment 14.9.16

Brdrd Cntr Sqr, Emb Ultra Mgc Sqr with, Square Inlays

Attachment 14.9.17

Brdrd Cntr Sqr, Emb Ultra Mgc Sqr with, Square and Diamond Inlay (a)

Attachment 14.9.18

Brdrd Cntr Sqr, Emb Ultra Mgc Sqr with, Square and Diamond Inlay (b)

Attachment 14.9.19

Brdrd Cntr Sqr, Emb Ultra Mgc Sqr with, Conc. Square and Diamond Inlay

Attachment 14.9.21

Double Brdrd Cntr Sqr with, Embedded Ultra Magic Square

Attachment 14.9.23

Double Brdrd Cntr Sqr with, Embedded Square with Square Inlay

Attachment 14.9.24

Double Brdrd Cntr Sqr with, Embedded Square with Square and Diamond Inlay

Attachment 14.9.42

Composed Associated Magic Center Squares

Attachment 14.9.3

Split Border Lines

Attachment 14.9.5a

Composed Border (1)

Attachment 14.9.5b

Composed Border (1)

Attachment 14.9.6

Composed Border (2)

Magic Squares, Higher Order:

Attachment 14.7.44

Order 12, Sixteen Semi Magic Squares

Attachment 14.7.44a

Order 12, Eight Semi Magic Diagonal Squares
          Eight Semi Magic Border Squares

Attachment 14.7.44b

Order 12, Eight Semi Magic Anti Symmetric Diagonal Squares
          Eight Semi Magic Anti Symmetric Border Squares

Attachment 14.7.47

Order 15, Eight Semi Magic Anti Symmetric Diagonal Squares
          Sixteen Semi Magic Anti Symmetric Border Squares
          One Magic Center Square

Attachment 14.7.48

Order 18, 12 Semi Magic Anti Symmetric Diagonal Squares
          24 Semi Magic Anti Symmetric Border Squares

Magic Squares, Higher Order, Inlaid (1):

Attachment 14.6.54

Order  9, Sub Squares Order 3, with Different Magic Sums

Attachment 14.6.42

Order 10, Sub Squares Order 4, with Different Magic Sums

Attachment 14.6.51

Order 12, Sub Squares Order 5, with Identical Magic Sum

Attachment 14.6.50

Order 12, Sub Squares Order 5, with Different Magic Sums

Attachment 14.6.52

Order 12, Miscellaneous Inlays

Attachment 14.6.55

Order 12, Sub Squares Order 4, with Different Magic Sums

Attachment 14.6.56

Order 12, Sub Squares Order 3, with Different Magic Sums

Attachment 14.6.53

Order 15, Sub Squares Order 5, with Different Magic Sums

Attachment 14.6.57

Order 15, Sub Squares Order 3, with Different Magic Sums

Attachment 14.6.70

Order 16, Sub Squares Order 4, with Different Magic Sums

Attachment 14.6.81

Order 20, Sub Squares Order 5, with Different Magic Sums

Attachment 14.6.82

Order 20, Sub Squares Order 4, with Different Magic Sums

Attachment 14.6.90

Order 25, Sub Squares Order 5, with Different Magic Sums

Magic Squares, Higher Order, Inlaid (2):

Attachment 14.6.58

Order 15, Composed, Concentric Main Square, Orders 5 x 3

Attachment 14.6.59

Order 18, Composed, Concentric Main Square, Orders 6 x 3

Attachment 14.6.60

Order 18, Composed, Concentric Sub Squares, Orders 3 x 6

Attachment 14.6.83

Order 20, Composed, Concentric Main Square, Orders 5 x 4

Attachment 14.6.84

Order 20, Composed, Concentric Sub Squares, Orders 4 x 5

Attachment 14.6.85

Order 21, Composed, Concentric Main Square, Orders 7 x 3

Attachment 14.6.86

Order 21, Composed, Concentric Sub Squares, Orders 3 x 7

Attachment 14.6.87

Order 24, Composed, Concentric Main Square, Orders 6 x 4

Attachment 14.6.88

Order 24, Composed, Concentric Sub Squares, Orders 4 x 6

Attachment 14.6.92

Order 25, Composed, Conc Main and Sub Sqrs, Orders 5 x 5

Attachment 14.6.93

Order 28, Composed, Concentric Main Square, Orders 7 x 4

Attachment 14.6.94

Order 28, Composed, Concentric Sub Squares, Orders 4 x 7

Magic Squares, Consecutive Primes:

Attachment 14.2.1

Order  4, Consecutive Primes, Classic

Attachment 14.13.1

Order  4, Consecutive Primes, Simple

Attachment 14.13.2

Order  5, Consecutive Primes, Simple

Attachment 14.13.4

Order  6, Consecutive Primes, Simple

Attachment 14.13.5

Order  7, Consecutive Primes, Simple

Attachment 14.13.6

Order  8, Consecutive Primes, Simple

Magic Squares, Twin Squares:

Attachment 14.14.1

Order  3, Simple Magic

Attachment 14.14.2

Order  4, Simple Magic

Attachment 14.14.3

Order  4, Pan Magic

Attachment 14.14.16

Order  5, Simple Magic

Attachment 14.14.17

Order  5, Pan Magic (La Hirian)

Attachment 14.14.6

Order  5, Associated

Attachment 14.14.9

Order  5, Concentric

Attachment 14.14.13

Order  5, Magic, Square Inlay

Attachment 14.14.14

Order  5, Magic, Diamond Inlay

Attachment 14.14.71

Order  6, Concentric

Attachment 14.14.72

Order  6, Associated

Attachment 14.14.75

Order  6, Pan Magic and Complete (Euler)

Attachment 14.14.73

Order  6, Simple, Four Semi Magic Sub Squares

Attachment 14.14.74

Order  6, Simple, Two Semi Magic Bottom Squares

Attachment 14.14.81

Order  7, Concentric MagicSquares

Attachment 14.14.82

Order  7, Bordered Magic Squares, Center Square with Square Inlay

Attachment 14.14.83

Order  7, Bordered Magic Squares, Center Square with Diamond Inlay

Attachment 14.14.84

Order  7, Bordered Magic Squares, Associated Center Square

Attachment 14.14.85

Order  7, Composed, Simple Magic Corner Squares

Attachment 14.14.86

Order  7, Composed, Simple Embedded Magic Squares

Attachment 14.14.87

Order  7, Pan Magic (La Hirian)

Attachment 14.14.7

Order  8, Composed, Simple Magic Sub Squares

Attachment 14.14.5

Order  8, Concentric

Attachment 14.14.20

Order  9, Composed, Semi Magic Sub Squares

Attachment 14.14.10

Order  9, Concentric

Attachment 14.14.12

Order 10, Concentric

Attachment 14.14.18

Order 10, Bordered, Composed Center Square

Attachment 14.14.30

Order 10, Composed, Associated Center Square

Attachment 14.14.11

Order 11, Concentric

Attachment 14.14.15

Order 12, Concentric

Attachment 14.14.22

Order 12, Composed, Miscellaneous Types

Magic Squares, V type ZigZag:

Attachment 17.01

Order  4, Two  Way V ZigZag

Attachment 17.02

Order  5, Two  Way V ZigZag

Attachment 6.10.5

Order  6, Two  Way V ZigZag, Rect. Compact, Row Symmetric, Pan Magic

Attachment 17.03

Order  6, Four Way V ZigZag, Pan Magic, Complete

Attachment 17.04

Order  7, Two  Way V ZigZag, Ultra Magic

Attachment 14.6.13

Order  7, Four Way V ZigZag, Associated, Inlaid

Attachment 14.7.12

Order  9, Four Way V ZigZag, Associated, Inlaid

Attachment 14.8.16

Order 11, Four Way V ZigZag, Associated, Inlaid

Magic Squares, Sum of Latin Squares:

Attachment 14.8.3

Order  4, Magic, Magic Semi Diagonals

Attachment 14.8.5a

Order  5, Pan Magic

Attachment 14.8.5b

Order  5, Ultra Magic

Attachment 14.8.11

Order  6, Magic, Symmetrical Diagonals

Attachment 14.8.7a

Order  7, Pan Magic

Attachment 14.8.7b

Order  7, Ultra Magic

Attachment 14.8.9a

Order  8, Magic, Magic Semi Diagonals and Rectangles

Attachment 14.8.9b

Order  8, Pan Magic, Compact and Complete (Most Perfect)

Attachment 14.8.13

Order  9, Magic, 3 x 3 Sub Squares

Attachment 14.8.21

Order 10, Simple Magic

Attachment 14.8.23

Order 11, Pan Magic

Attachment 14.8.25

Order 12, Simple Magic

Magic Squares, Sum of Squares:

Attachment 16.3.3

Order  4, Magic, Magic Semi Diagonals

Attachment 16.3.6

Order  5, Pan Magic

Attachment 16.3.8

Order  7, Pan Magic

Attachment 16.3.10

Order  8, Magic, Magic Semi Diagonals and Rectangles


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