Magic Squares (21)

Office Applications and Entertainment, Magic Squares
	Index	About the Author

List of Attachments

Magic Squares (4 x 4):

Attachment 1	Magic Squares 4 x 4, MC = 34, All Diagonals
Attachment 2.3.1	Magic Squares 4 x 4, MC = 34, Main Diagonals
Attachment 2.5	Magic Squares 4 x 4, MC = 34, Associated

Magic Squares (5 x 5):

Attachment 5.2.6	Magic Squares 5 x 5, MC = 65, a(25) = 1, 2, ... 25
Attachment 3.4.1	Magic Squares 5 x 5, MC = 65, Variables a(20) ... a(25) constant
Attachment 3.4.2	Magic Squares 5 x 5, MC = 65, Diagonal a( 1) ... a(25) constant
Attachment 3.7.1	Sudoku Squares 5 x 5, MC = 10, Pan Magic
Attachment 3.7.2	Sudoku Squares 5 x 5, MC = 10, Magic
Attachment 3.7.3	Sudoku Squares 5 x 5, MC = 10, Magic, Non Sudoku Diagonals
Attachment 5.3.4	Magic Squares 5 x 5, MC = 65, Unique Base Squares
Attachment 5.4.1	Magic Squares 5 x 5, MC = 65, Ultramagic Squares
Attachment 5.4.2	Magic Squares 5 x 5, MC = 65, Associated Squares
Attachment 5.5.1	Magic Squares 5 x 5, MC = 65, Concentric Squares (1)
Attachment 5.5.2	Magic Squares 5 x 5, MC = 65, Concentric Squares (2)
Attachment 5.5.3	Magic Squares 5 x 5, MC = 65, Eccentric Squares (1)
Attachment 5.5.4	Magic Squares 5 x 5, MC = 65, Eccentric Squares (2)
Attachment 5.6.1	Magic Squares 5 x 5, MC = 65, Diamond Inlay
Attachment 5.6.2	Magic Squares 5 x 5, MC = 65, Diamond Inlay, Associated
Attachment 5.6.3	Magic Squares 5 x 5, MC = 65, Diamond Inlay, Concentric
Attachment 5.6.4	Magic Squares 5 x 5, MC = 65, Square Inlay
Attachment 5.6.5	Magic Squares 5 x 5, MC = 65, Square and Diamond Inlay
Attachment 5.5.2	Magic Squares 5 x 5, MC = 65, Rotation/Reflection
Attachment 5.5.3	Magic Squares 5 x 5, MC = 65, Line Permutations
Attachment 5.5.5	Magic Squares 5 x 5, MC = 65, Class {A_ij^k}

Magic Squares (6 x 6)
General:

Attachment 6.5.1	Magic Squares 6 x 6, MC = 111, Highlighted Variables Constant (1)
Attachment 6.6.1	Magic Squares 6 x 6, MC = 111, Highlighted Variables Constant (2)
Attachment 6.5.2	Magic Squares 6 x 6, MC = 111, Rotation/Reflection
Attachment 6.5.3	Magic Squares 6 x 6, MC = 111, Permutations lines n and (7 - n):
Attachment 6.5.4	Magic Squares 6 x 6, MC = 111, Permutations lines 1, 2, 3 and 4, 5, 6
Attachment 6.5.5	Magic Squares 6 x 6, MC = 111, Combined Permutations
Attachment 6.6.2	Magic Squares 6 x 6, MC = 111, Symmetrical Diagonals (a)
Attachment 6.6.3	Magic Squares 6 x 6, MC = 111, Symmetrical Diagonals (b)
Attachment 6.7.1	Magic Squares 6 x 6, MC = 111, Class {A_ij^k}
	Symmetrical Diagonals
Attachment 6.8.1	Medjig Squares 3 x 3, MC = 9
Attachment 6.8.2	Magic Squares 6 x 6, MC = 111, Deducted from Medjig Squares
Attachment 6.8.3	Medjig Squares 3 x 3, MC = 9 , Symmetrical Main Diagonals
Attachment 6.8.4	Magic Squares 6 x 6, MC = 111, Deducted from Medjig Squares
Attachment 6.8.5	Medjig Squares 3 x 3, MC = 9 , Almost Associated
Attachment 6.8.6	Magic Squares 6 x 6, MC = 111, Deducted from Medjig Squares
Attachment 6.9.1	Magic Squares 6 x 6, MC = 111, Concentric Squares (1)
Attachment 6.9.2	Magic Squares 6 x 6, MC = 111, Concentric Squares (2)
Attachment 6.9.5	Magic Squares 6 x 6, MC = 111, Concentric Squares (3)
Attachment 6.9.4	Magic Squares 6 x 6, MC = 111, Eccentric Squares
Attachment 6.7.4	Magic Squares 6 x 6, MC = 111, Inlaid Magic Squares
Attachment 6.10.2	Magic Squares 6 x 6, MC = 111, Partly Rectangular Compact
Attachment 6.10.3	Magic Squares 6 x 6, MC = 111, Rectangular Compact
Attachment 6.10.4	Magic Squares 6 x 6, MC = 111, Rectangular Compact, Axial Symmetric
Attachment 6.11.2	Magic Squares 6 x 6, MC = 111, Axial Symmetric
Attachment 6.11.3	Magic Squares 6 x 6, MC = 111, Row Symmetric (Type 1)
Attachment 6.11.4	Magic Squares 6 x 6, MC = 111, Row Symmetric (Type 2)
Attachment 6.11.6	Magic Squares 6 x 6, MC = 111, Symmetric (Type 3)
Attachment 6.11.7	Magic Squares 6 x 6, MC = 111, Symmetric (Type 4)
Attachment 6.11.8	Magic Squares 6 x 6, MC = 111, Symmetric (Type 5)
Attachment 6.11.9	Magic Squares 6 x 6, MC = 111, Symmetric (Type 6)
Attachment 6.11.10	Magic Squares 6 x 6, MC = 111, Symmetric (Type 7)
Attachment 6.11.11	Magic Squares 6 x 6, MC = 111, Symmetric (Type 8)
Attachment 6.11.12	Magic Squares 6 x 6, MC = 111, Symmetric (Type 9)
Attachment 6.11.13	Magic Squares 6 x 6, MC = 111, Symmetric, Almost Associated
Attachment 6.11.14	Magic Squares 6 x 6, MC = 111, Symmetric, Square of the Sun
Attachment 6.2.2	Magic Squares 6 x 6, MC = 111, Bimagic Diagonals
Attachment 6.2.4	Magic Squares 6 x 6, MC = 111, Bimagic Columns

Magic Squares (6 x 6)
Non Consecutive Integers:

Attachment 6.10.2	Pan Magic Squares 6 x 6, MC = 150, Most Perfect
Attachment 6.10.3	Pan Magic Squares 6 x 6, MC = 150, 2 x 2 Compact, Class Example
Attachment 6.10.4	Pan Magic Squares 6 x 6, MC = 150, Associated
Attachment 6.10.5	Pan Magic Squares 6 x 6, MC = 120, Concentric, Associated Center Squares
Attachment 6.10.7	Pan Magic Squares 6 x 6, MC = 150, Compact Ultra Magic
Attachment 6.10.8a	Pan Magic Squares 6 x 6, MC = 120, Pan Magic, Complete, Semi Mgc Sub Sqrs
Attachment 6.10.8b	Pan Magic Squares 6 x 6, MC = 120, Associated, Semi Mgc Sub Sqrs
Attachment 6.10.5	Magic Squares 6 x 6, MC = 120, Rectangular Compact, Row Symmetric
Attachment 6.11.5	Magic Squares 6 x 6, MC = 120, Crosswise Symmetric
Attachment 6.12.2	Pan Magic Squares 6 x 6, MC = 120, Axial Symmetric
Attachment 6.12.3	Pan Magic Squares 6 x 6, MC = 126, Row Symmetric (Type 1)
Attachment 6.12.4	Pan Magic Squares 6 x 6, MC = 120, Row Symmetric (Type 2)
Attachment 6.12.5	Pan Magic Squares 6 x 6, MC = 120, Crosswise Symmetric
Attachment 6.12.7	Pan Magic Squares 6 x 6, MC = 120, Symmetric (Type 4)
Attachment 6.13.24	Partly Bimagic Squares 6 x 6, MC = 150, Bimagic Rows and Columns
Attachment 6.13.34	Partly Bimagic Squares 6 x 6, MC = 168, One Bimagic Diagonal
Attachment 6.13.44	Bimagic Squares 6 x 6, MC = 408, Associated
Attachment 6.13.54	Bimagic Squares 6 x 6, MC = 219, Crosswise Symmetric
Attachment 6.13.64	Bimagic Squares 6 x 6, MC = 330, Crosswise Symmetric

Magic Squares (7 x 7):

Attachment 7.1.1	Pan Magic Squares 7 x 7, MC = 175, b(i) - 1 =< a(i) =< b(i) + 1
Attachment 7.3	Pan Magic Squares 7 x 7, MC = 175, Collection {A_ij^k}
Attachment 7.3.4	Sudoku Squares 7 x 7, MC = 21, Pan Magic
Attachment 7.4.1	Ultra Magic Squares 7 x 7, MC = 175, a(49) = 1, a(48) = 9, a(47) = 27
Attachment 7.4.2	Ultra Magic Squares 7 x 7, MC = 175, Three Cell Patterns
Attachment 7.4.3	Sudoku Squares 7 x 7, MC = 21, Ultra Magic
Attachment 7.4.4	Ultra Magic Squares 7 x 7, MC = 175, Based on Attachment 7.4.3
Attachment 7.5.1	Magic Squares 7 x 7, MC = 175, Concentric Squares (1)
Attachment 7.5.2	Magic Squares 7 x 7, MC = 175, Concentric Squares (2)
Attachment 7.5.3	Magic Squares 7 x 7, MC = 175, Eccentric Squares (1)
Attachment 7.5.4	Magic Squares 7 x 7, MC = 175, Eccentric Squares (2)
Attachment 7.6.1	Magic Squares 7 x 7, MC = 175, Overlapping Sub Squares (1)
Attachment 7.6.2	Magic Squares 7 x 7, MC = 175, Overlapping Sub Squares (2)
Attachment 7.6.3	Magic Squares 7 x 7, MC = 175, Overlapping Sub Squares (3)
Attachment 7.6.4	Magic Squares 7 x 7, MC = 175, Overlapping Sub Squares (4)
Attachment 7.6.5	Pan Magic Squares 5 x 5, MC = 125, Corner = 25
Attachment 7.6.6	Magic Squares 7 x 7, MC = 175, Overlapping Sub Squares (6)
Attachment 7.6.7	Ass Magic Squares 7 x 7, MC = 175, Overlapping Sub Squares (7)
Attachment 7.6.8	Ass Magic Squares 7 x 7, MC = 175, Overlapping Sub Squares (8)
Attachment 7.8.7	Comp. Magic Squares 7 x 7, MC = 175, Ass Sub Squares (1)
Attachment 7.8.8	Comp. Magic Squares 7 x 7, MC = 175, Ass Sub Squares (2)
Attachment 7.7.1	Bordered Mgc Sqrs 7 x 7, MC = 175, Square and Diamond Inlay
Attachment 7.7.2	Ass Magic Squares 7 x 7, MC = 175, Diamond Inlays Order 3 and 4
Attachment 7.7.3	Ass Magic Squares 7 x 7, MC = 175, Square Inlays Order 3 and 4
Attachment 7.7.4	Ultra Magic Squares 7 x 7, MC = 175, Conc Square and Square Inlay (1)
Attachment 7.7.5	Ultra Magic Squares 7 x 7, MC = 175, Conc Square and Square Inlay (2)
Attachment 7.7.6	Ultra Magic Squares 7 x 7, MC = 175, Square Inlays
Attachment 7.7.7	Ultra Magic Squares 7 x 7, MC = 175, Conc Square and Diamond Inlay
Attachment 7.7.8	Ultra Magic Squares 7 x 7, MC = 175, Square and Diamond Inlay (1)
Attachment 7.7.9	Ultra Magic Squares 7 x 7, MC = 175, Square and Diamond Inlay (2)
Attachment 7.8.1	Magic Squares 7 x 7, MC = 175, Bent Diagonals
Attachment 7.8.2	Magic Squares 7 x 7, MC = 175, Bent Diagonals, Symm Axes and Dia
Attachment 7.8.3	Pan Magic Squares 7 x 7, MC = 175, Bent Diagonals
Attachment 7.8.4	Pan Magic Squares 7 x 7, MC = 175, Bent Diagonals, Symm Axes and Dia
Attachment 7.8.5	Magic Squares 7 x 7, MC = 175, Bent Diagonals, Properties

Magic Squares (8 x 8):

Attachment 8.1.3	Pan Magic Squares 8 x 8, MC = 260, Class {A_ij^k}
Attachment 8.1.4	Pan Magic Squares 8 x 8, MC = 260, Collection {B}
Attachment 8.1.5	Pan Magic Squares 8 x 8, MC = 260, Collection {A_ij^k} based on Square 1
Attachment 8.1.6	Pan Magic Squares 8 x 8, MC = 260, Unique Base Squares
Attachment 8.2.1	Pan Magic Squares 8 x 8, Composed of Pan Magic Sub Squares (4 x 4)
Attachment 8.2.2	Magic Squares 8 x 8, Composed of Pan Magic Sub Squares (4 x 4)
Attachment 8.2.3	Magic Squares 8 x 8, Composed of Magic Sub Squares (4 x 4)
Attachment 8.2.4	Pan Magic Squares 8 x 8, Composed of Pan Magic Sub Squares (4 x 4) Containing Magic Middle Squares (4 x 4)
Attachment 8.2.5	Magic Squares 8 x 8, Composed of Magic Sub Squares (4 x 4) Containing Magic Middle Squares (4 x 4), Bent Diagonals
Attachment 8.2.6	Magic Squares 8 x 8, Composed of Associated Magic Sub Squares (4 x 4)
Attachment 8.2.7	Magic Squares 8 x 8, Composed of Associated Magic Sub Squares (4 x 4) Miscellaneous Valid Variable Ranges
Attachment 8.2.51	Magic Squares 8 x 8, Composed of Pan Magic Sub Squares (4 x 4)
Attachment 8.2.52	Magic Squares 8 x 8, Composed of Pan Magic Sub Squares (4 x 4) Miscellaneous Valid Variable Ranges
Attachment 8.2.61	Magic Squares 8 x 8, Composed of Magic Sub Squares (4 x 4)
Attachment 8.2.62	Magic Squares 8 x 8, Composed of Magic Sub Squares (4 x 4) Miscellaneous Valid Variable Ranges
Attachment 8.2.71	Magic Squares 8 x 8, Pan Magic Center Square (4 x 4)
Attachment 8.2.72	Magic Squares 8 x 8, Pan Magic Center Square (4 x 4) Miscellaneous Valid Variable Ranges
Attachment 8.3.1	Medjig Squares 4 x 4, MC = 12
Attachment 8.3.2	Magic Squares 8 x 8, MC = 260, Deducted from Medjig Squares
Attachment 8.3.3	Magic Squares 8 x 8, MC = 260, Deducted from Medjig Squares Pan Magic Complete Squares
Attachment 8.3.4	Magic Squares 8 x 8, MC = 260, Deducted from Medjig Squares Associated Squares
Attachment 8.4.1	Franklin Squares 8 x 8, MC = 260, Main and Parallel Bent Diagonals
Attachment 8.4.2	Franklin Squares 8 x 8, MC = 260, a(64) = 17 and a(63) = 32
Attachment 8.4.3	Franklin Squares 8 x 8, MC = 260, More Patterns summing to 260
Attachment 8.4.4	Franklin Squares 8 x 8, MC = 260, a(64) = 17 and a(63) = 40 Barink Restrictions
Attachment 8.5.1	Pan Magic Squares 8 x 8, Franklin Properties 2 and 5
Attachment 8.5.2	Pan Magic Squares 8 x 8, Composed of Pan Magic Sub Squares (4 x 4) Franklin Property 5
Attachment 8.5.4	Pan Magic Squares 8 x 8, Composed of Pan Magic Sub Squares (4 x 4) Franklin Properties 2 and 5, Barink Restrictions
Attachment 8.5.5	Pan Magic Squares 8 x 8, Most Perfect (Compact and Complete)
Attachment 8.6.1	Magic Squares 8 x 8, MC = 260, Concentric Squares (1)
Attachment 8.6.2	Magic Squares 8 x 8, MC = 260, Concentric Squares (2)
Attachment 8.6.3	Magic Squares 8 x 8, MC = 260, Eccentric Squares
Attachment 8.6.4	Magic Squares 8 x 8, MC = 260, Bordered Squares
Attachment 8.6.5	Ultra Mgc Sqrs 8 x 8, MC = 260, Compact
Attachment 8.6.7	Ultra Mgc Sqrs 8 x 8, MC = 260, Non Overlapping Sub Squares (a)
Attachment 8.6.8	Ultra Mgc Sqrs 8 x 8, MC = 260, Non Overlapping Sub Squares (b)
Attachment 8.6.9	Pan Magic Squares 8 x 8, MC = 260, Non Overl Sub Squares, Complete
Attachment 8.6.10	Ultra Mgc Sqrs 8 x 8, MC = 260, Rectangular Compact
Attachment 8.6.11	Pan Magic Squares 8 x 8, MC = 260, Rectangular Compact, Complete
Attachment 8.6.12	Magic Squares 8 x 8, MC = 260, Parttly Rect Compact, Associated
Attachment 8.6.13	Magic Squares 8 x 8, MC = 260, Parttly Rect Compact, Complete
Attachment 8.6.14	Magic Squares 8 x 8, MC = 260, Unique Inlaid Magic Squares
Attachment 8.7.1	Magic Squares 8 x 8, MC = 260, Composed of Magic Sub Squares
Attachment 8.7.2	Pan Magic Squares 4 x 4, MC = 130
Attachment 8.7.3	Sudoku Squares 8 x 8, MC = 28
Attachment 8.7.5	Quaternary Sqrs Examples
Attachment 8.7.51	Quaternary Sqrs 8 x 8, MC = 12, Pan Magic, Associated
Attachment 8.7.52	Quaternary Sqrs 8 x 8, MC = 12, Pan Magic, Complete

Magic Squares (9 x 9):

Attachment 9.3	Pan Magic Squares 9 x 9, MC = 369, Class {A_ij^k}
Attachment 9.3.1	Pan Magic Squares 9 x 9, MC = 369, Collection {B}
Attachment 9.3.2	Pan Magic Squares 9 x 9, MC = 369, Collection {A_ij^k} based on Square 1
Attachment 9.3.3	Pan Magic Squares 9 x 9, MC = 369, Unique Base Squares
Attachment 9.4.1	Compact Associated Pan Magic Squares, MC = 369
Attachment 9.4.2	Compact Pan Magic Squares MC = 369 Every third-row and third-column summing to 123
Attachment 9.4.3	Compact Associated Pan Magic Squares MC = 369 Every third-row and third-column summing to 123
Attachment 9.4.4	Compact Associated Pan Magic Squares MC = 369, a(81) = 1 Every third-row and third-column summing to 123
Attachment 9.4.5	Associated Magic Squares MC = 369, Misc Examples Every third-row and third-column summing to 123
Attachment 9.4.6	Associated Magic Squares MC = 369, Misc Examples Regular Sub Squares summing to 369
Attachment 9.5.1	Magic Squares 9 x 9, MC = 369, Concentric Squares (1)
Attachment 9.5.2	Magic Squares 9 x 9, MC = 369, Concentric Squares (2)
Attachment 9.5.8	Magic Squares 9 x 9, MC = 369, Bordered Squares
Attachment 9.5.3	Magic Squares 9 x 9, Eccentric Squares, Eccentric Corner Squares
Attachment 9.5.4	Magic Squares 9 x 9, Eccentric Squares, s1 = 369, s2 = 209
Attachment 9.5.5	Base Squares for 9 x 9, Eccentric Squares, s1 = 369, s2 = 209
Attachment 9.5.6	Magic Squares 9 x 9, Eccentric Squares, Overlapping Sub Squares
Attachment 9.5.7	Pan Magic Squares 9 x 9, Compact, Associated
Attachment 9.6.1	Sudoku Squares 9 x 9, MC = 36, Associated Compact Pan Magic Squares Every third-row and third-column summing to 12
Attachment 9.6.10	Sudoku Squares 9 x 9, MC = 36, Associated Magic Squares Every third-row and third-column summing to 12
Attachment 9.6.11	Sudoku Squares 9 x 9, MC = 36, Compact Associated Pan Magic Squares
Attachment 9.6.12	Sudoku Squares 9 x 9, MC = 36, Associated Magic Squares Regular Sub Squares Summing to 36
Attachment 9.6.2	Ternary Squares 9 x 9, MC = 9, John Hendricks
Attachment 9.6.3	Sudoku Squares 9 x 9, MC = 36, John Hendricks
Attachment 9.6.4	Sudoku Squares 9 x 9, MC = 36, Non-Associated Compact Pan Magic Squares
Attachment 9.6.5	Ternary Squares Examples
Attachment 9.6.6	Ternary Squares 9 x 9, MC = 9, Non-Associated Partly Compact
Attachment 9.6.7	Sudoku Squares 9 x 9, MC = 36, Non-Associated Partly Compact
Attachment 9.6.8	Ternary Squares 9 x 9, MC = 9, Compact Associated Pan Magic

Magic Squares (10 x 10):

Attachment 10.1.1	Medjig Squares 5 x 5, MC = 15
Attachment 10.1.2	Magic Squares 10 x 10, MC = 505, Deducted from Medjig Squares
Attachment 10.1.3	Conc Mgc Sqrs 10 x 10, MC = 505, Deducted from Medjig Squares
Attachment 10.1.4	Ecc Mgc Sqrs 10 x 10, MC = 505, Deducted from Medjig Squares
Attachment 10.2.5	Magic Squares 10 x 10, MC = 505, Deducted from Medjig Squares
Attachment 10.1.7	Magic Squares 10 x 10, MC = 505, Bimagic Diagonals
Attachment 10.1.9	Magic Squares 10 x 10, MC = 505, Bimagic Center Lines
Attachment 10.2.1	Magic Squares 10 x 10, MC = 505, Concentric Squares (1)
Attachment 10.2.2	Magic Squares 10 x 10, MC = 505, Concentric Squares (2)
Attachment 10.2.6	Magic Squares 10 x 10, MC = 505, Bordered Squares
Attachment 10.2.3	Magic Squares 10 x 10, Eccentric Squares, s1 = 505, s2 = 199
Attachment 10.2.4	Magic Squares 10 x 10, Eccentric Squares, s1 = 505, s2 = 312
Attachment 10.2.5a	Composed Squares 10 x 10, MC = 505, Conc Mgc Crnr Sqr
Attachment 10.2.5b	Composed Squares 10 x 10, MC = 505, Ecc Mgc Crnr Sqr
Attachment 10.2.5c	Composed Squares 10 x 10, MC = 505, Almost Ass Crnr Sqr
Attachment 10.2.5d	Composed Squares 10 x 10, MC = 505, Almost Associated
Attachment 10.2.6a	Composed Squares 10 x 10, MC = 505, Type 1, Conc Mgc Crnr Sqr
Attachment 10.2.6b	Composed Squares 10 x 10, MC = 505, Type 1, Ecc Mgc Crnr Sqr
Attachment 10.2.7a	Composed Squares 10 x 10, MC = 505, Type 2, Conc Mgc Crnr Sqr
Attachment 10.2.7b	Composed Squares 10 x 10, MC = 505, Type 2, Ecc Mgc Crnr Sqr
Attachment 10.2.8	Composed Squares 10 x 10, MC = 505, Type 3, Ecc Mgc Crnr Sqr
Attachment 10.2.9	Composed Squares 10 x 10, MC = 505, Type 4, Center Crosses
Attachment 10.3.2	Pan Magic Squares 10 x 10, MC = 2250, Most Perfect
Attachment 10.3.3	Ultra Mgc Sqrs 10 x 10, MC = 3510, Compact

Magic Squares (11 x 11):

Attachment 14.9.1	Magic Squares 11 x 11, MC = 671, Borders
Attachment 14.9.2	Magic Squares 11 x 11, MC = 671, Bordered
Attachment 14.9.4	Magic Squares 11 x 11, MC = 671, Eccentric
Attachment 14.9.6	Magic Squares 11 x 11, MC = 671, Composed Border
Attachment 14.9.7	Magic Squares 11 x 11, MC = 671, Associated, Composed (1)
Attachment 14.9.8	Magic Squares 11 x 11, MC = 671, Associated, Composed (2)
Attachment 14.8.15	Magic Squares 11 x 11, MC = 671, Associated, Composed (3)
Attachment 14.8.16	Magic Squares 11 x 11, MC = 671, Associated, Inlaid (1)
Attachment 14.8.17	Magic Squares 11 x 11, MC = 671, Associated, Inlaid (2)
Att. 14.9.9b	Magic Squares 11 x 11, MC = 671, Associated, Inlaid (3)
Att. 14.8.5.7	Magic Squares 11 x 11, MC = 671, Composed, Overl Sub Sqrs (1)
Att. 14.9.8.1	Magic Squares 11 x 11, MC = 671, Composed, Overl Sub Sqrs (2)
Att. 14.9.8.2	Magic Squares 15 x 15, MC = 1695, Composed, Overl Sub Sqrs

Magic Squares (Higher Order):

Attachment 12.1	Barink Squares 12 x 12, MC = 870, a(144) = 72 and a(143) = 74
Attachment 12.2a	Morris Squares 12 x 12, MC = 870, a(136), a(138) ... a(140) and a(142) ... a(144) constant
Attachment 12.2b	Morris Squares 12 x 12, MC = 870, Most Perfect (1) a(139) ... a(144) constant
Attachment 12.2b	Magic Squares 12 x 12, MC = 870, Most Perfect (2) a(143) ... a(144) constant
Attachment 12.3a	Hendricks Squares 16 x 16, MC = 2056
Attachment 12.3b	Franklin Squares 16 x 16, MC = 2056 (1)
Attachment 12.4	Franklin Squares 16 x 16, MC = 2056 (2) Most Perfect Pan Magic Squares
Attachment 12.5	Franklin Squares 16 x 16, MC = 2056 (3) Most Perfect Pan Magic Squares, Barink Restrictions

Index

About the Author