Magic Square History Links
The Link Library
FormulaOne Sample Source Code
Most Perfect Magic Squares 8x8
Sample code that calculates all 368640 most perfect 8x8 magic squares. The results are available in the file (7869 kB) ...
http://www.f1compiler.com/samples/samples.html
Magic Square -- from Wolfram MathWorld
Definition, examples, and construction. Includes algorithms for odd, doubly and singly even squares.
http://mathworld.wolfram.com/MagicSquare.html?AX28349
A Mini-History of Magic Squares
Magic Squares home page: a short history. ... Writing in 1917 Dudeney said: "Of recent years many ingenious methods have been devised for the construction of magics (magic squares), ... ; The Formula ; Magic Carpets ; Analysis ; Magic Cubes ; History ; References ; Contact ; Downloads ; Links ; Glossary ; Grogono Home
http://www.grogono.com/magic/history.php
The Zen of Magic Squares, Circles, and Stars:
The Zen of Magic Squares, Circles, and Stars: An Exhibition of Surprising Structures Across Dimensions Clifford A. Pickover Princeton University Press, 2002
http://sprott.physics.wisc.edu/pickover/zenad.html
Magic Squares
The history of magic squares dates back to at least 1000 BC in China. A Chinese book called Lo Shu (book of the River Lo) relates the story of how a magic square on the back of a turtle saved the city. The image at right is from the web page of Karen Verschooren and Tine Uytdenhouwen;
http://www.pballew.net/magsquar.html
Planetary Magic Squares - Planetary Numerology
In the Western Occult Tradition, each planet has traditionally been associated with a series of numbers and particular organizations of those numbers. One such method of numerological arrangement is the magic square ... Magic Square of Venus Magic Square of Mercury Magic Square of The Moon ... Magic Square of The Moon...
http://altreligion.about.com/od/westernocculttradition/ig/Planetary-Magical-Squares/
History Of Magic Squares
Magic Squares have fascinated mankind throughout the ages, with examples being found in: ... Further references about their history can be found at David Singmaster's Chronology Of Recreational Mathematics page.
http://www.markfarrar.co.uk/msqhst01.htm
Magic Squares - All You Ever Wanted To
This is the first of Mark S. Farrar's pages about Magic Squares. ... The above quotation accurately describes my own fascination with numbers generally, but also with Magic Squares (or Quadramagicology, as "New Scientist" magazine recently called it). I hope to show you in these pages some of the many aspects of Magic...
http://www.markfarrar.co.uk/msfmsq01.htm
The 8x8 Pan-Magic Squares
The regular 8x8 pan magic squares have a fascinating structure. Like the 4x4 squares, 8x8 squares can be constructed using a set of magic carpets. ... ; The Formula ; Magic Carpets ; Analysis ; Magic Cubes ; History ; References ; Contact ; Downloads ; Links ; Glossary ; Grogono Home
www.grogono.com/magic/8x8.php
Analysis of the 8x8 Magic Square
My mathematical ability doesn't find out how many 8x8 Magic Squares are. It's yours.. Anyway, to simplify the model is important to understand a fundamental...
http://user.chollian.net/~brainstm/analysis8x8.htm
Wikipedia, the free encyclopedia
In recreational mathematics, a magic square of order n is an arrangement of n 2 numbers, usually distinct integers, in a square, such that the n numbers in all rows, all columns, and both d...
http://en.wikipedia.org/wiki/Magic_square
Magic Squares Mark Swaney on the History of Magic Squares ...
This is a magic square of order 3 (three numbers to the side of the square). If you add up any row, column, or diagonal, it sums to the same number, 15. There are magic squares of order 4, 5, 6, etc. ... However, also note that with the Earth as the 10th square/planet, the Sun, Moon, and Earth are shown in the position of...
http://www.ismaili.net/mirrors/Ikhwan_08/magic_squares.html
Magic Squares
Magic Squares in History ... Magic squares have been studied for at least three thousand years, the earliest recorded appearance dating to about 2200 BC, in China. In the 9th century, Arab astrologers used them in calculating horoscopes, and by 1300 AD, magic squares had spread to the West.
http://www.jcu.edu/math/Vignettes/magicsquares.htm
Magic Squares: A Riddle of Art and Mathematics
The Secret History of Art – Noah Charney on Art ... Magic Squares: A Riddle of Art and Mathematics » « ... Popular on ARTINFO Blogs; Blogroll. Art Vent; ARTLURKER
http://blogs.artinfo.com/secrethistoryofart/2011/03/10/magic-squares-a-riddle-of-art-and-mathematics/
Illuminations: Magic Squares
This lesson explores magic squares from both a historical and mathematical perspective. The mathematical analysis leads into symbolic algebraic ...
http://illuminations.nctm.org/LessonDetail.aspx?id=L263
Magic Square of The Moon
Lunar Numbers Magic Square of The Moon Catherine Beyer. In the Western Occult Tradition, each planet has traditionally been associated with a series of numbers and ...
http://altreligion.about.com/od/westernocculttradition/ig/Planetary-Magical-Squares/Magic-Square-of-The-Moon.htm
What Is A Magic Square? - Mark Farrar - Magic Squares Enthusiast.
Together with the letters "a" and "o", which are the Greek letters Alpha and Omega, there is an odd number of cells on each side of the Magic Square. "Even" Magic Squares ...
http://www.markfarrar.co.uk/msqwht01.htm
Knight's Tour Art
The following Knight's Tour reflects simplicity, beauty, and semi-symmetry in which the two left quadrants show the same path of the knight, while the two right quadrants mirror the path. Please contact me if you have created interesting knight tours.
http://www.borderschess.org/KTart.htm
8x8 Sudoku Knight Tours
Borders Chess Club Nov 14, 2005 ... In the Knight Tour Latin Square shown above, only one instance of each integer from 1 to 8 are in each row and column. ...
http://www.borderschess.org/Knight%20Tour%20Latin%20Square.doc
The Euler's 8x8 magic square - Chess.
May 13, 2009 ... The Euler's 8x8 magic square. A magic square of order n is an arrangement of n^2 numbers (usually 1, 2, 3...) such that the sum of the ...
http://www.chess.com/article/view/the-eulers-8x8-magic-square
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