Office Applications and Entertainment, Magic Squares

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List of VBA Subroutines

Reduction of Lineair Equations (note 1):

Algorithm 4

Magic Squares, 4 x 4

Rewrite1

Writes algorithm after further deduction

Generation of Magic Squares (4 x 4):

MgcSqr3

Magic Squares, 3 x 3, Magic Constant  15

MgcSqr4

Magic Squares, 4 x 4, Magic Constant  34, All  Diagonals

MgcSqr4b1

Magic Squares, 4 x 4, Magic Constant  34, Main Diagonals

MgcSqr4b2

Magic Squares, 4 x 4, Magic Constant  34, Associated

MgcSqr4c

Magic Squares, 4 x 4, Magic Constant 130, All  Diagonals

MgcSqr4e

Magic Squares, 4 x 4, Magic Constant 130, Main Diagonals
Distinct Integers i1(1) ... i1(16)

Generation of Magic Squares (5 x 5):

MgcSqr5a1

Magic Squares, 5 x 5, Magic Constant  65, All  Diagonals

MgcSqr5a2

Magic Squares, 5 x 5, Magic Constant  65, Main Diagonals (a)

MgcSqr5b2

Magic Squares, 5 x 5, Magic Constant  65, Main Diagonals (b)

MgcSqr5a3

Magic Squares, 5 x 5, Magic Constant 125, All  Diagonals
Defined Integers

MgcSqr5c

Magic Squares, 5 x 5, Magic Constant  65, Ultramagic Squares

MgcSqr5d

Magic Squares, 5 x 5, Magic Constant  65, Concentric Squares

MgcSqr5e

Magic Squares, 5 x 5, Magic Constant  65, Eccentric  Squares

MgcSqr5f

Magic Squares, 5 x 5, Magic Constant  65, Sudoku Comparable Method

MgcSqr5g1

Magic Squares, 5 x 5, Magic Constant  65, Diamond Inlay

MgcSqr5g2

Magic Squares, 5 x 5, Magic Constant  65, Diamond Inlay, Associated

MgcSqr5g3

Magic Squares, 5 x 5, Magic Constant  65, Diamond Inlay, Concentric

MgcSqr5g4

Magic Squares, 5 x 5, Magic Constant  65, Square Inlay

SudSqr5a

Sudoku Squares 5 x 5, Magic Constant  10, Sudoku Diagonals

SudSqr5b

Sudoku Squares 5 x 5, Magic Constant  10, Non Sudoku Diagonals

CnstrSqrs5a

Magic Squares, 5 x 5, Magic Constant  65, Based on Sudoku Squares

CnstrSqrs5b

Magic Squares, 5 x 5, Magic Constant 315, Based on Sudoku Squares

Generation of Magic Squares (6 x 6)
General:

MgcSqr6a

Magic Squares, 6 x 6, Main Diagonals (a)

MgcSqr6b

Magic Squares, 6 x 6, Main Diagonals (b)

MgcSqr6c

Magic Squares, 6 x 6, Symmetrical Main Diagonals (a)

MgcSqr6c2

Magic Squares, 6 x 6, Symmetrical Main Diagonals (b)

MgcSqr6d

Magic Squares, 6 x 6, Medjig Squares

MgcSqr6e1

Magic Squares, 6 x 6, Concentric Squares (1)

MgcSqr6e2

Magic Squares, 6 x 6, Concentric Squares (2)

MgcSqr6f

Magic Squares, 6 x 6, Eccentric  Squares

MgcSqr674

Magic Squares, 6 x 6, Inlaid     Squares

MgcSqr6102

Magic Squares, 6 x 6, Non Overl Rectangles 2 x 3

MgcSqr6103

Magic Squares, 6 x 6, Rect Compact

MgcSqr6104

Magic Squares, 6 x 6, Rect Compact, Axial Symmetric

MgcSqr6112

Magic Squares, 6 x 6, Axial Symmetric

MgcSqr6113

Magic Squares, 6 x 6, Row Symmetric (Type 1)

MgcSqr6114

Magic Squares, 6 x 6, Row Symmetric (Type 2)

MgcSqr6116

Magic Squares, 6 x 6, Symmetric (Type 3)

MgcSqr6117

Magic Squares, 6 x 6, Symmetric (Type 4)

MgcSqr6118

Magic Squares, 6 x 6, Symmetric (Type 5)

MgcSqr6119

Magic Squares, 6 x 6, Symmetric (Type 6)

MgcSqr62c

Magic Squares, 6 x 6, Bimagic Diagonals

CnstrSqrs6

Magic Squares, 6 x 6, Bimagic Columns

Generation of Magic Squares (6 x 6)
Non Consecutive Integers:

MgcSqr6g1

Magic Squares, 6 x 6, Pan Magic (1)

MgcSqr6g2

Magic Squares, 6 x 6, Pan Magic (2)

MgcSqr6g4

Magic Squares, 6 x 6, Pan Magic (3)

MgcSqr6g5

Magic Squares, 6 x 6, Pan Magic (4)

Priem6f

Magic Squares, 6 x 6, Ultra Magic (1)

Priem6h

Magic Squares, 6 x 6, Ultra Magic (2)

MgcSqr6105

Magic Squares, 6 x 6, Rect Compact, Row Symmetric (Type 2)

MgcSqr6115

Magic Squares, 6 x 6, Simple, Crosswise Symmetric

MgcSqr6122

Magic Squares, 6 x 6, Pan Magic, Axial Symmetric

MgcSqr6123

Magic Squares, 6 x 6, Pan Magic, Row Symmetric (Type 1)

MgcSqr6124

Magic Squares, 6 x 6, Pan Magic, Row Symmetric (Type 2)

MgcSqr6125

Magic Squares, 6 x 6, Pan Magic, Crosswise Symmetric

MgcSqr6127

Magic Squares, 6 x 6, Pan Magic, Symmetric (Type 4)

CnstrSqrs6132

Magic Squares, 6 x 6, Bimagic Rows and Columns

CnstrSqrs6133

Magic Squares, 6 x 6, Bimagic

Generation of Magic Squares (7 x 7)

MgcSqr7a

Magic Squares, 7 x 7, Magic Constant 175, Pan Magic

Priem7c

Magic Squares, 7 x 7, Magic Constant 175, Ultra Magic

MgcSqr7c

Magic Squares, 7 x 7, Magic Constant 175, Ultra Magic, Three Cell Paterns

MgcSqr7d

Magic Squares, 7 x 7, Magic Constant 175, Concentric Squares

MgcSqr7e

Magic Squares, 7 x 7, Magic Constant 175, Eccentric  Squares

MgcSqr7f

Magic Squares, 7 x 7, Magic Constant 175, Sum Key Variables 129
Filtered from collection {B}

MgcSqr7j1

Magic Squares, 7 x 7, Magic Constant 175, Diamond Inlays

MgcSqr7j2

Magic Squares, 7 x 7, Magic Constant 175, Square Inlays

MgcSqr7j3

Magic Squares, 7 x 7, Magic Constant 175, Concentric Square and Square Inlay (1)

MgcSqr7j4

Magic Squares, 7 x 7, Magic Constant 175, Concentric Square and Square Inlay (2)

MgcSqr7j5

Magic Squares, 7 x 7, Magic Constant 175, Square Inlays

MgcSqr7j6

Magic Squares, 7 x 7, Magic Constant 175, Concentric Square and Diamond Inlay

MgcSqr7j7

Magic Squares, 7 x 7, Magic Constant 175, Square and Diamond Inlay (1)

MgcSqr7j8

Magic Squares, 7 x 7, Magic Constant 175, Square and Diamond Inlay (2)

MgcSqr7g1

Magic Squares, 7 x 7, Magic Constant 175, Overlapping Sub Squares (1)

MgcSqr7g2

Magic Squares, 7 x 7, Magic Constant 175, Overlapping Sub Squares (2)

MgcSqr7g3

Magic Squares, 7 x 7, Magic Constant 175, Non Overlapping Sub Squares

SudSqr7a

Sudoku Squares 7 x 7, Magic Constant  21, Pan Magic

SudSqr7b

Sudoku Squares 7 x 7, Magic Constant  21, Ultra Magic

CnstrSqrs7a

Magic Squares, 7 x 7, Magic Constant 175, Based on Sudoku Squares (1)

CnstrSqrs7b

Magic Squares, 7 x 7, Magic Constant 175, Based on Sudoku Squares (2)

Generation of Magic Squares (8 x 8)
General:

MgcSqr8a

Magic Squares, 8 x 8, Magic Constant 260, Pan Magic (1)
Matrix Operation

MgcSqr8b1

Magic Squares, 8 x 8, Magic Constant 260, Pan Magic (2)
Pan Magic Sub Squares

MgcSqr8b2

Magic Squares, 8 x 8, Magic Constant 260, Pan Magic (3)
Pan Magic Sub Squares, Magic Middle Squares

MgcSqr8c1

Magic Squares, 8 x 8, Magic Constant 260, Magic (1)
Pan Magic Sub Squares

MgcSqr8c2

Magic Squares, 8 x 8, Magic Constant 260, Magic (4)
Associated Magic Sub Squares

MgcSqr8d1

Magic Squares, 8 x 8, Magic Constant 260, Magic (2)
Magic Sub Squares

MgcSqr8d2

Magic Squares, 8 x 8, Magic Constant 260, Magic (3)
Magic Sub Squares, Magic Middle Squares

MgcSqr8e

Magic Squares, 8 x 8, Medjig Squares

MgcSqr8f1

Magic Squares, 8 x 8, Franklin Squares

MgcSqr8f2

Magic Squares, 8 x 8, Franklin Squares
Barink Restrictions

MgcSqr8g

Magic Squares, 8 x 8, Magic Constant 260, Pan Magic (4)
Franklin Properties 2 and 5

MgcSqr8h

Magic Squares, 8 x 8, Magic Constant 260, Pan Magic (5)
Pan Magic Sub Squares, Franklin Property 5

MgcSqr8g4

Magic Squares, 8 x 8, Magic Constant 260, Pan Magic (6)
Pan Magic Sub Squares, Franklin Properties 3 and 5, Barink Restrictions

MgcSqr8g5

Magic Squares, 8 x 8, Magic Constant 260, Pan Magic (7)
Most Perfect (Compact and Complete)

MgcSqr8i

Magic Squares, 8 x 8, Magic Constant 260, Concentric Squares

MgcSqr8j

Magic Squares, 8 x 8, Magic Constant 260, Eccentric  Squares

MgcSqr8k

Magic Squares, 8 x 8, Magic Constant 260, Inlaid  Squares

Priem8e

Magic Squares, 8 x 8, Magic Constant 260, Ultra Magic Squares (1)
Compact

Priem8d

Magic Squares, 8 x 8, Magic Constant 260, Ultra Magic Squares (2)
Non Overlapping Sub Squares 2 x 2, Half Rows, Half Columns

Priem8f

Magic Squares, 8 x 8, Magic Constant 260, Ultra Magic Squares (3)
Rectangular Compact Compact (2 x 4)

Generation of Magic Squares (8 x 8)
Sudoku Comparable:

SudSqr8a

Sudoku Squares   8 x 8, Magic Constant  28, Pan Magic, Complete, Partly Rect Compact

SudSqr8a1

Sudoku Squares   8 x 8, Magic Constant  28, Miscellaneous Properties (1)

SudSqr8a2

Sudoku Squares   8 x 8, Magic Constant  28, Miscellaneous Properties (2)

SudSqr8b1

Sudoku Squares   8 x 8, Magic Constant  28, Miscellaneous Properties (3)

SudSqr8b2

Sudoku Squares   8 x 8, Magic Constant  28, Miscellaneous Properties (4)

SudSqr8c

Octanary Squares 8 x 8, Magic Constant  28, Miscellaneous Properties (5)

SudSqr8d

Sudoku Squares   8 x 8, Magic Constant  28, Pan Magic, Non Overl Sub Sqrs, Associated

SudSqr8e

Sudoku Squares   8 x 8, Magic Constant  28, Pan Magic, Non Overl Sub Sqrs, Complete

SudSqr8g

Sudoku Squares   8 x 8, Magic Constant  28, Pan Magic, Complete, Rect Compact

Quat867

Quaternary Squares, 8 x 8, Magic Constant  12, Pan Magic, Associated

Quat869

Quaternary Squares, 8 x 8, Magic Constant  12, Pan Magic, Complete

CnstrSqrs8a

Magic Squares, 8 x 8, Magic Constant 260, Based on Sudoku     Squares

CnstrSqrs8b

Magic Squares, 8 x 8, Magic Constant 260, Based on Octanary   Squares

CnstrSqrs8c

Magic Squares, 8 x 8, Magic Constant 260, Based on Quaternary Squares

Generation of Magic Squares (9 x 9):

MgcSqr9b

Magic  Squares, 9 x 9, Magic Constant 369, Pan Magic
Matrix Operation

MgcSqr9c

Magic  Squares, 9 x 9, Magic Constant 369, Ultra Magic
Filtered from collection {B}

MgcSqr9d

Magic  Squares, 9 x 9, Magic Constant 369, Concentric Squares

MgcSqr9e

Magic  Squares, 9 x 9, Magic Constant 369, Eccentric  Squares

MgcSqr9a1

Magic  Squares, 9 x 9, Magic Constant 369, Overlapping Sub Squares (1)

MgcSqr9a2

Magic  Squares, 9 x 9, Magic Constant 369, Overlapping Sub Squares (2)

MgcSqr9g

Magic  Squares, 9 x 9, Magic Constant 369, Associated Compact Pan Magic

MgcSqr9k

Magic  Squares, 9 x 9, Magic Constant 369, Inlaid Magic Squares

Priem9f3

Magic  Squares, 9 x 9, Magic Constant 369, Composed, Ass Crnr Sqrs

Priem9f4

Magic  Squares, 9 x 9, Magic Constant 369, Associated, Diamond Inlays

Priem9g1

Magic  Squares, 9 x 9, Magic Constant 369, Overlapping Sub Squares

Priem9g2

Magic  Squares, 9 x 9, Magic Constant 369, Ultra Magic, Split Rows an Columns

SudSqr9a

Sudoku Squares, 9 x 9, Magic Constant  36, Associated Compact Pan Magic

Ternary9

Ternary Squares 9 x 9, Magic Constant   9, Compact Pan Magic

CnstrSqrs9a

Magic  Squares, 9 x 9, Magic Constant 369, Based on Sudoku Squares

CnstrSqrs9b

Sudoku Squares, 9 x 9, Magic Constant  36, Based on Ternary Squares

Generation of Magic Squares (10 x 10):

MgcSqr10a1

Magic Squares, 10 x 10, Medjig Squares

MgcSqr10a2

Magic Squares, 10 x 10, Medjig Squares, Bimagic Main Diagonals

MgcSqr10a3

Magic Squares, 10 x 10, Medjig Squares, Bimagic Center Lines

MgcSqr10b

Magic Squares, 10 x 10, Magic Constant  505, Concentric Squares

MgcSqr10c

Magic Squares, 10 x 10, Magic Constant  505, Eccentric Squares

MgcSqr10d

Magic Squares, 10 x 10, Magic Constant 2250, Most Perfect Magic Square

MgcSqr10e

Magic Squares, 10 x 10, Magic Constant 3510, Ultra Magic, Compact

Priem10c2

Magic Squares, 10 x 10, Magic Constant 505, Composed (1)

Priem10c3

Magic Squares, 10 x 10, Magic Constant 505, Composed (2)

Priem10c4

Magic Squares, 10 x 10, Magic Constant 505, Composed (3)

Priem10c5

Magic Squares, 10 x 10, Magic Constant 505, Composed (4)

CntrCross10

Magic Squares, 10 x 10, Magic Constant 505, Center Cross

Generation of Magic Squares (11 x 11):

Priem11a

Magic Squares, 11 x 11, Magic Constant  671, Borders

Priem11e

Magic Squares, 11 x 11, Magic Constant  671, Composed Borders

Priem11c

Magic Squares, 11 x 11, Magic Constant  671, Eccentric

Priem11d

Magic Squares, 11 x 11, Magic Constant  671, Associated, Composed Border (1)

Priem11f

Magic Squares, 11 x 11, Magic Constant  671, Associated, Composed Border (2)

MgcSqr11k

Magic Squares, 11 x 11, Magic Constant  671, Square Inlays

MgcSqr11

Magic Squares, 11 x 11, Magic Constant  671, Overlapping Sub Squares (1)

PriemE11

Magic Squares, 11 x 11, Magic Constant  671, Overlapping Sub Squares (2)

PriemG15

Magic Squares, 15 x 15, Magic Constant 1695, Overlapping Sub Squares (2)

Prime11c1

Magic Squares, 11 x 11, Magic Constant  671, Associated Corner Squares

Generation of Magic Squares (Higher Order):

MgcSqr12a

Barink Squares,   12 x 12, Magic Constant  870, Pan Magic

MgcSqr12b

Morris Squares,   12 x 12, Magic Constant  870, Pan Magic

MgcSqr12c

Morris Squares,   12 x 12, Magic Constant  870, Most Perfect

MgcSqr16a

Franklin Squares, 16 x 16, Magic Constant 2056, Bent Diagonals (1)

MgcSqr16b

Franklin Squares, 16 x 16, Magic Constant 2056, Bent Diagonals (2)
Most Perfect Pan Magic Squares

MgcSqr16c

Franklin Squares, 16 x 16, Magic Constant 2056, Bent Diagonals (3)
Most Perfect Pan Magic Squares, Barink Restrictions


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