Magic Squares (20)

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)
MgcSqr61110	Magic Squares, 6 x 6, Symmetric (Type 7)
MgcSqr61111	Magic Squares, 6 x 6, Symmetric (Type 8)
MgcSqr61112	Magic Squares, 6 x 6, Symmetric (Type 9)
MgcSqr61113	Magic Squares, 6 x 6, Symmetric, Almost Associated
MgcSqr61114	Magic Squares, 6 x 6, Symmetric, Square of the Sun
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
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
MgcSqr8c2	Magic Squares, 8 x 8, Magic Constant 260, Edward Falkener Associated Magic Sub Squares
MgcSqr825	Magic Squares, 8 x 8, Magic Constant 260, L.S. Frierson Pan Magic Sub Squares
MgcSqr826	Magic Squares, 8 x 8, Magic Constant 260, L.S. Frierson Magic Sub Squares, Magic Middle Squares
MgcSqr827	Magic Squares, 8 x 8, Magic Constant 260, Harry A. Sayles Pan Magic Center Square, Composed Border
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
SudSqr9b	Sudoku Squares, 9 x 9, Magic Constant 36, Associated Magic Each third-row and third-column summing to s1/3
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 (1)
MgcSqr12e	Magic Squares, 12 x 12, Magic Constant 870, Most Perfect (2)
MgcSqr12d	Hendricks Squares 12 x 12, Magic Constant 870, Composed
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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