Magic Squares (20)

Office Applications and Entertainment, Magic Squares
	Index	About the Author

List of VBA Subroutines

Magic Squares (3 x 3):

Priem3	Simple Magic, Classic
Priem3b	Semi Magic, Seven Magic Lines

Magic Squares (4 x 4):

Priem4	Simple Magic, Classic
Priem4b	Pan Magic
Priem4d	Associated

Magic Squares (5 x 5):

Priem5b1	Pan Magic
Priem5c	Concentric
Priem5d	Eccentric
Priem5e	Associated
Priem5f	Ultra Magic
Priem5g1	Diamond Inlay, Associated
Priem5g2	Diamond Inlay, Concentric
Priem5g3	Square Inlay, General
Priem5g4	Square Inlay, Diamond Inlay
AntSym1	Anti Symmetric, Corner = s1/5
AntSym2	Anti Symmetric, s1/5 eliminated

Magic Squares (6 x 6):

Priem6a	Concentric, Pan Magic, General
Priem6g	Concentric, Pan Magic, Associated Center Square
Priem6b	Concentric, General
Priem6c	Concentric, Sub Squares 2 x 2
Priem6d1	Eccentric
Priem6f	Associated, Pan Magic, Sub Squares 2 x 2
Priem6h	Associated, Pan Magic, Compact
Priem6e	Most Perfect, Compact and Complete
Priem3e1	Composed, Semi Magic Sub Squares 3 x 3
Priem3e2	Composed, Associated
Priem6e3	Composed, Pan Magic
MgcSqr6122	Pan Magic, Axial Symmetric
MgcSqr6123	Pan Magic, Row Symmetric, Type 1
MgcSqr6124	Pan Magic, Row Symmetric, Type 2
MgcSqr6125	Pan Magic, Crosswise Symmetric
MgcSqr6127	Pan Magic, Mixed Symmetric, Type 4
MgcSqr6116	Simple, Mixed Symmetric, Type 3
MgcSqr6118	Simple, Mixed Symmetric, Type 5
MgcSqr6119	Simple, Mixed Symmetric, Type 6
MgcSqr61110	Simple, Mixed Symmetric, Type 7
MgcSqr61111	Simple, Mixed Symmetric, Type 8
MgcSqr61112	Simple, Mixed Symmetric, Type 9
MgcSqr61113	Simple, Almost Associated
MgcSqr61114	Simple, Square of the Sun
MgcSqr6103	Rect. Compact, General
MgcSqr6104	Rect. Compact, Axial Symmetric
MgcSqr6105	Rect. Compact, Row Symmetric, Pan Magic

Magic Squares (7 x 7):

Priem7a1	Concentric
Priem7b	Eccentric, General
Priem7e	Eccentric, Overlapping Sub Squares
Priem3g	Associated, Overlapping Sub Squares (4 x 4)
Priem7e1	Associated, Diamond Inlays Order 3 and 4
Priem7e2	Associated, Square Inlays Order 3 and 4
Priem7e3	Composed, Associated Corner Squares and - Rectangles
Priem7c	Ultra Magic, General
Priem7f1	Ultra Magic, Concentric, Square Inlay (a)
Priem7f2	Ultra Magic, Concentric, Square Inlay (b)
Priem7e5	Ultra Magic, Order 3 Square Inlays
Priem7g1	Ultra Magic, Order 3 Square and Diamond Inlay (a)
Priem7g2	Ultra Magic, Order 3 Square and Diamond Inlay (b)
Priem7h	Ultra Magic, Concentric, Diamond Inlay
Priem7d	Ultra Magic, Three Cell Patterns

Magic Squares (8 x 8):

Priem4c	Composed, Sets of Pan Magic Sub Squares
Priem8a	Concentric
Priem8a2	Eccentric, Split Border Lines
Priem8g2	Composed, Non Symmetric Corner Square
Priem8b	Most Perfect, Franklin, Pan Magic
Priem8c	Most Perfect, Pan Magic, Compact, Complete
Priem8d	Ultra Magic, Non Overlapping Sub Squares
Priem8k	Inlaid, Sub Squares with Different Magic Sums
Priem8d2	Composed, Magic, Embedded Magic Squares
Priem8f	Franklin, Half Rows and Half Columns sum to s1/2

Magic Squares (9 x 9):

Priem4e	Composed, Overlapping Sub Squares
Priem4f1	Composed, Overlapping Sub Squares, Partly Symmetric
Priem4f2	Composed, Overlapping Sub Squares, Associated
Priem9g2	Composed, Associated Corner Squares Order 3 and 6
Priem9f3	Composed, Associated Corner Squares Order 4 and 5
Priem9a1	Concentric
Priem9c	Bordered, Split Border Lines, Center Square order 5
Priem9b	Bordered, Split Border Lines
Priem9g1	Eccentric, Overlapping Sub Squares
Priem9g2	Eccentric, Associated Corner Squares
Priem3d1	Composed, Eight Semi Magic Border Squares One Magic Center Square
Priem3d2	Composed, Four Semi Magic Border Squares Four Semi Magic Corner Squares One Magic Center Square
Priem3d3	Composed, Four Semi Magic Anti Symmetric Border Squares Four Semi Magic Anti Symmetric Corner Squares One Magic Center Square
Priem9f4	Associated, Diamond Inlays Order 4 and 5
Priem9k	Inlaid, Square Inlays Order 3 and 4 (Overlapping)

Magic Squares (10 x 10):

Priem10a1	Composed, Sub Sqrs Order 4 (3 ea) and 6 (1 ea)
Priem10a2	Composed, Sub Sqrs Order 4 (3 ea) and 6 (1 ea)
Priem10b	Composed, Crnr Sqrs Order 4 (3 ea) and 6 (1 ea)
Priem10g	Composed, Crnr Sqrs Order 4 (4 ea)
Priem10c2	Composed, Ass Rect (2 ea), Crnr Sqrs Order 4 and 6
Priem10c	Concentric, Split Border Lines
Priem10e	Bordered, Split Border Lines, Center Square order 6
Priem10f	Bordered, Composed Border, Center Square order 4
Priem10f3	Associated, Composed Border, Center Square order 4
Priem10d	Eccentric, Split Border Lines

Magic Squares (11 x 11):

Priem11a	Concentric
Priem11b	Bordered, Split Border Lines
Priem11d	Bordered, Composed Border (1)
Priem11e	Bordered, Composed Border (2)
Priem11c	Eccentric, Split Border Lines
Priem11d3	Associated, Composed Border (1)
Priem11f	Associated, Composed Border (2)
PriemE11	Composed, Overlapping Sub Squares (2), Order 11
PriemG15	Composed, Overlapping Sub Squares (2), Order 15
Prime11c	Composed, Associated Corner Squares and - Rectangles

Magic Squares, Higher Order:

Priem3f1	Order 12, Eight Semi Magic Diagonal Squares Eight Semi Magic Border Squares
Priem3f2	Order 12, Eight Semi Magic Anti Symmetric Diagonal Squares Eight Semi Magic Anti Symmetric Border Squares
Priem3f3	Order 15, Eight Semi Magic Anti Symmetric Diagonal Squares Sixteen Semi Magic Anti Symmetric Border Squares One Magic Center Square
Priem3f4	Order 18, 12 Semi Magic Anti Symmetric Diagonal Squares 24 Semi Magic Anti Symmetric Border Squares

Magic Squares, Higher Order, Inlaid (1):

Priem9k	Order 9, Sub Squares Order 3, with Different Magic Sums
Priem10k	Order 10, Sub Squares Order 4, with Different Magic Sums
Priem12a	Order 12, Sub Squares Order 5, with Identical Magic Sum
Priem12k	Order 12, Sub Squares Order 5, with Different Magic Sums
Priem12b	Order 12, Sub Squares Order 4, with Different Magic Sums
Priem12c	Order 12, Sub Squares Order 3, with Different Magic Sums
Priem15k2	Order 15, Sub Squares Order 5, with Different Magic Sums
Priem15k4	Order 15, Sub Squares Order 3, with Different Magic Sums
Priem16k	Order 16, Sub Squares Order 4, with Different Magic Sums
Priem20k1	Order 20, Sub Squares Order 5, with Different Magic Sums
Priem20k2	Order 20, Sub Squares Order 4, with Different Magic Sums
Priem25k	Order 25, Sub Squares Order 5, with Different Magic Sums

Magic Squares, Higher Order, Inlaid (2):

Priem15k4	Order 15, Composed, Concentric Main Square, Orders 5 x 3
Priem18k1	Order 18, Composed, Concentric Main Square, Orders 6 x 3
Priem18k2	Order 18, Composed, Concentric Sub Squares, Orders 3 x 6
Priem20k2	Order 20, Composed, Concentric Main Square, Orders 5 x 4
Priem20k4	Order 20, Composed, Concentric Sub Squares, Orders 4 x 5
Priem21k1	Order 21, Composed, Concentric Main Square, Orders 7 x 3
Priem21k2	Order 21, Composed, Concentric Sub Squares, Orders 3 x 7
Priem24k1	Order 24, Composed, Concentric Main Square, Orders 6 x 4
Priem24k2	Order 24, Composed, Concentric Sub Squares, Orders 4 x 6
Priem25k2	Order 25, Composed, Conc Main and Sub Sqrs, Orders 5 x 5
Priem28k1	Order 28, Composed, Concentric Main Square, Orders 7 x 4
Priem28k2	Order 28, Composed, Concentric Sub Squares, Orders 4 x 7

Magic Squares, Consecutive Primes:

Priem4b2	Order 4, Consecutive Primes, Simple
Priem5b2	Order 5, Consecutive Primes, Simple

Magic Squares, Twin Squares:

Priem3	Order 3, Simple Magic
Priem4	Order 4, Simple Magic
Priem4b	Order 4, Pan Magic
Priem5a2	Order 5, Simple Magic
Priem5e	Order 5, Associated
Priem5c2	Order 5, Concentric
Priem5g3	Order 5, Magic, Square Inlay
Priem5g2	Order 5, Magic, Diamond Inlay
Priem6b2	Order 6, Concentric
Priem6i2	Order 6, Associated
Priem6c2	Order 6, Simple, Four Semi Magic Sub Squares
Priem6c4	Order 6, Simple, Two Semi Magic Bottom Squares
Priem7a2	Order 7, Concentric MagicSquares
Priem7f2	Order 7, Composed, Simple Magic Corner Squares
Priem4c2	Order 8, Composed, Simple Magic Sub Squares
Priem8a2	Order 8, Concentric
Priem9b	Order 9, Composed, Semi Magic Sub Squares
Priem9a2	Order 9, Concentric
Priem10c	Order 10, Bordered, Composed Center Square
Priem10b	Order 10, Composed, Associated Center Square
Priem11a	Order 11, Concentric
Priem12a	Order 12, Concentric
Priem12b	Order 12, Composed, Miscellaneous Types

Magic Squares, V type ZigZag:

ZigZag4	Order 4, Two Way V ZigZag
ZigZag5	Order 5, Two Way V ZigZag
MgcSqr6105	Order 6, Two Way V ZigZag, Rect. Compact, Row Symmetric, Pan Magic
ZigZag6	Order 6, Four Way V ZigZag, Pan Magic, Complete
ZigZag7a	Order 7, Two Way V ZigZag, Ultra Magic
Priem7e2	Order 7, Four Way V ZigZag, Associated, Inlaid
Priem9f3	Order 9, Four Way V ZigZag, Associated, Inlaid
Prime11c	Order 11, Four Way V ZigZag, Associated, Inlaid

Index

About the Author