List of Attachments
Magic Squares (3 x 3):
Magic Squares (4 x 4):
Magic Squares (5 x 5):
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 6.11.10 | Simple, Mixed Symmetric, Type 7 |
Attachment 6.11.11 | Simple, Mixed Symmetric, Type 8 |
Attachment 6.11.12 | Simple, Mixed Symmetric, Type 9 |
Attachment 6.11.13 | Simple, Almost Associated |
Attachment 6.11.14 | Simple, Square of the Sun |
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 14.7.51 | Associated, Center Square Order 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 14.8.90 | Associated, Associated Center Square Order 5 |
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 |
Attachment 14.13.7 | Order 9, 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 14.14.95 |
Order 9, Associated |
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:
|