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Magic Square (43)
See Also:
Sites:
» 4x4 Magic Square Solver 
Given at least two numbers, provides possible solutions for a 4x4 magic square where the desired sum is 34.
http://quasistoic.org/fun/magicsquare/
Given at least two numbers, provides possible solutions for a 4x4 magic square where the desired sum is 34.
http://quasistoic.org/fun/magicsquare/
» A Very, Very Magic Square
A 25x25 magic square with 25 sub-squares and other properties. Maple program and PostScript files available for download.
http://www.math.lsa.umich.edu/~hderksen/magic.html
A 25x25 magic square with 25 sub-squares and other properties. Maple program and PostScript files available for download.
http://www.math.lsa.umich.edu/~hderksen/magic.html
» All You Wanted to Know About Magic Squares
Introduction to magic squares. Basic/C computer programs to generate odd squares. Calculates 8x8 squares with any given date on the first line.
http://www.markfarrar.co.uk/msfmsq01.htm
Introduction to magic squares. Basic/C computer programs to generate odd squares. Calculates 8x8 squares with any given date on the first line.
http://www.markfarrar.co.uk/msfmsq01.htm
» Allmath.com: Magic Squares Game
Interactive game to construct Magic Squares. Different degrees of difficulty and size of square. Hints and solutions provided.
http://www.allmath.com/magicsquare.php
Interactive game to construct Magic Squares. Different degrees of difficulty and size of square. Hints and solutions provided.
http://www.allmath.com/magicsquare.php
» Amof: Information on Magic Squares
The Amazing Mathematical Object Factory generator makes up to 10 squares of order 1 to 10. Brief history and introduction included.
http://theory.cs.uvic.ca/~cos/amof/e_magiI.htm
The Amazing Mathematical Object Factory generator makes up to 10 squares of order 1 to 10. Brief history and introduction included.
http://theory.cs.uvic.ca/~cos/amof/e_magiI.htm
» Bordered Magic Squares
Includes bordered or consecutively concentric magic squares. Demonstrates odd and even numbered squares and makes bordered squares of any size.
http://users.eastlink.ca/~sharrywhite/BorderedMagicSquares.html
Includes bordered or consecutively concentric magic squares. Demonstrates odd and even numbered squares and makes bordered squares of any size.
http://users.eastlink.ca/~sharrywhite/BorderedMagicSquares.html
» Finding Magic Squares Using CCM
The Chemical Casting Model (CCM) generation method is demonstrated with a Java Applet. Source code and description of algorithm included. (English/Japanese) [JRE required for Applet only].
http://www.kanadas.com/ccm/magic-square/index.html
The Chemical Casting Model (CCM) generation method is demonstrated with a Java Applet. Source code and description of algorithm included. (English/Japanese) [JRE required for Applet only].
http://www.kanadas.com/ccm/magic-square/index.html
» Grog's Magic Squares
Presents the "Magic Carpet" approach by "Grog". Downloads available for analyzers and creators in Excel format.
http://www.grogono.com/Magic/
Presents the "Magic Carpet" approach by "Grog". Downloads available for analyzers and creators in Excel format.
http://www.grogono.com/Magic/
» MAA: Ivars Peterson's MathLand: More than Magic Squares
Introduction with reference to Victor Hill and Bach.
http://www.maa.org/mathland/mathland_10_14.html
Introduction with reference to Victor Hill and Bach.
http://www.maa.org/mathland/mathland_10_14.html
» Magic Cubes
Harvey Heinz's introduction to mathematical magic cubes including classification, a time-line and extensive bibliography."
http://members.shaw.ca/hdhcubes/
Harvey Heinz's introduction to mathematical magic cubes including classification, a time-line and extensive bibliography."
http://members.shaw.ca/hdhcubes/
» Magic Cubes and Tesseracts
Examples, original works, algorithms, and theorems on magic cubes, tesseracts, and hypercubes. (English/Japanese)
http://homepage2.nifty.com/googol/magcube/en/
Examples, original works, algorithms, and theorems on magic cubes, tesseracts, and hypercubes. (English/Japanese)
http://homepage2.nifty.com/googol/magcube/en/
» Magic Rectangles and Squares
Presents 2xn and 3xn rectangles, as well as squares of order 4,5 and 8. Generation of the last by knight's tour.
http://www.gpj.connectfree.co.uk/mrm.htm
Presents 2xn and 3xn rectangles, as well as squares of order 4,5 and 8. Generation of the last by knight's tour.
http://www.gpj.connectfree.co.uk/mrm.htm
» Magic Square Models
Explores the physical aspects of magic squares. A mass model demonstrates unique properties associated with the moment of inertia for the square. The topographical model looks at water retention patterns in the square.
http://www.knechtmagicsquare.paulscomputing.com/
Explores the physical aspects of magic squares. A mass model demonstrates unique properties associated with the moment of inertia for the square. The topographical model looks at water retention patterns in the square.
http://www.knechtmagicsquare.paulscomputing.com/
» Magic Square: Java applet
A documented Java applet that generates Magic Squares using a given starting number, increment, and starting location. Row, column and diagonal sums are displayed on request. Odd orders up to 7 are accepted. [JRE required]
http://www.open.ou.nl//eyn/applets/magicsq.htm
A documented Java applet that generates Magic Squares using a given starting number, increment, and starting location. Row, column and diagonal sums are displayed on request. Odd orders up to 7 are accepted. [JRE required]
http://www.open.ou.nl//eyn/applets/magicsq.htm
» Magic Squares
Java applet generates odd ordered squares, with options to transformations by rotations and reflections. Source code provided.
http://www.wou.edu/~burtonl/magic.html
Java applet generates odd ordered squares, with options to transformations by rotations and reflections. Source code provided.
http://www.wou.edu/~burtonl/magic.html
» Magic Squares and Hyper Cubes
Includes Java Applet and source code of square and hyper cube generator. Options for dimensions and offset.
http://net.indra.com/~charliek/
Includes Java Applet and source code of square and hyper cube generator. Options for dimensions and offset.
http://net.indra.com/~charliek/
» Magic Squares at Math Cats: Fun, Easy, and Interactive!
Introduction to the Durer magic square. Activities including the magic carpet.
http://www.mathcats.com/explore/puzzles/magicsquare.html
Introduction to the Durer magic square. Activities including the magic carpet.
http://www.mathcats.com/explore/puzzles/magicsquare.html
» Magic Squares by Edward W. Shineman Jr.
Features magic squares, rectangles and the author's signature magic diamonds commemorating historic and personal milestones.
http://www.eds-magic-squares.com
Features magic squares, rectangles and the author's signature magic diamonds commemorating historic and personal milestones.
http://www.eds-magic-squares.com
» Magic Squares, Magic Stars and Other Patterns
Pages on magic squares, stars with total basic solutions for each order from 5 to 11, and miscellaneous number patterns.
http://recmath.org/Magic%20Squares/
Pages on magic squares, stars with total basic solutions for each order from 5 to 11, and miscellaneous number patterns.
http://recmath.org/Magic%20Squares/
» Making Magic Squares
The Durer and Loh Shu squares. Starting from basic operations, mathematical derive distinct squares from existing ones.
http://www.netcomuk.co.uk/~jenolive/roymagic.html
The Durer and Loh Shu squares. Starting from basic operations, mathematical derive distinct squares from existing ones.
http://www.netcomuk.co.uk/~jenolive/roymagic.html
» Math Forum: Magic Squares Applet
Java applet and source files.[JRE to run]
http://mathforum.org/alejandre/java/magpuz/MagPuz.html
Java applet and source files.[JRE to run]
http://mathforum.org/alejandre/java/magpuz/MagPuz.html
» Math Forum: Magic Stars
Introduction to Magic Stars. Construction, analysis and transformations.
http://mathforum.org/alejandre/magic.star/
Introduction to Magic Stars. Construction, analysis and transformations.
http://mathforum.org/alejandre/magic.star/
» Math Forum: Multiplying Magic Squares
Includes classroom material covering introduction, the math behind, and methods of construction.
http://mathforum.org/alejandre/magic.square/adler/
Includes classroom material covering introduction, the math behind, and methods of construction.
http://mathforum.org/alejandre/magic.square/adler/
» Math Forum: Suzanne Alejandre: Magic Squares
Curriculum resources, student activities and explanations of puzzles.
http://mathforum.org/alejandre/magic.square.html
Curriculum resources, student activities and explanations of puzzles.
http://mathforum.org/alejandre/magic.square.html
» MathWorld: Magic Squares
Definition, examples, and construction. Includes algorithms for odd, doubly and singly even squares.
http://mathworld.wolfram.com/MagicSquare.html
Definition, examples, and construction. Includes algorithms for odd, doubly and singly even squares.
http://mathworld.wolfram.com/MagicSquare.html
» MathWorld: Panmagic Square
Demonstration of the properties of a pan-magic square.
http://mathworld.wolfram.com/PanmagicSquare.html
Demonstration of the properties of a pan-magic square.
http://mathworld.wolfram.com/PanmagicSquare.html
» Mathpages: Franklin's Magic Squares
How Benjamin Franklin constructed his magic squares. Autobiographical extract included.
http://mathpages.com/home/kmath155.htm
How Benjamin Franklin constructed his magic squares. Autobiographical extract included.
http://mathpages.com/home/kmath155.htm
» Mathpages: Solving Magic Squares
An attempt to solve for all possible magic squares, a mathematical treatment.
http://www.mathpages.com/home/kmath295.htm
An attempt to solve for all possible magic squares, a mathematical treatment.
http://www.mathpages.com/home/kmath295.htm
» Multimagic Squares
Squares that remain magic after entries are raised to various powers. Examples, constructions, bibliography and links compiled by Christian Boyer. (English/French/German)
http://www.multimagie.com/indexengl.htm
Squares that remain magic after entries are raised to various powers. Examples, constructions, bibliography and links compiled by Christian Boyer. (English/French/German)
http://www.multimagie.com/indexengl.htm
» Notes on Magic Squares
Walter Trump explains magic squares, and presents computer estimates of squares of different orders.
http://www.trump.de/magic-squares/index.html
Walter Trump explains magic squares, and presents computer estimates of squares of different orders.
http://www.trump.de/magic-squares/index.html
» Prime Magic Squares
Introduction. Prime magic squares, programs and examples.
http://digilander.libero.it/ice00/magic/
Introduction. Prime magic squares, programs and examples.
http://digilander.libero.it/ice00/magic/
» PrimePuzzle #297: Queens on Magic Squares
Try to put 8 queens on an 8x8 square such that the queens sit on prime numbers. Readers' solutions provided.
http://www.primepuzzles.net/puzzles/puzz_297.htm
Try to put 8 queens on an 8x8 square such that the queens sit on prime numbers. Readers' solutions provided.
http://www.primepuzzles.net/puzzles/puzz_297.htm
» Science News for Kids: MatheMUSEments
Description of Durer's square and an alphamagic square.
http://www.sciencenewsforkids.org/pages/puzzlezone/muse/muse1103.asp
Description of Durer's square and an alphamagic square.
http://www.sciencenewsforkids.org/pages/puzzlezone/muse/muse1103.asp
» Siamese Method
The Siamese method generates odd squares of any order above one. Explains the mathematics behind the scenes.
http://www.xs4all.nl/~thospel/siamese.html
The Siamese method generates odd squares of any order above one. Explains the mathematics behind the scenes.
http://www.xs4all.nl/~thospel/siamese.html
» The 3x3 Distinct Prime Magic Squares Page
A paper describing the generation of 3x3 Distinct Prime Magic Squares using a computer program.
http://www.dcs.gla.ac.uk/~pd/Numbers/MagicSquares/
A paper describing the generation of 3x3 Distinct Prime Magic Squares using a computer program.
http://www.dcs.gla.ac.uk/~pd/Numbers/MagicSquares/
» The Anti-Magic Square Project
Starting from the definition of an Anti-Magic Square (AMS), the article presents the structure and construction methods of the AMS. Programs written in the c-language are available for download.
http://ion.uwinnipeg.ca/~vlinek/jcormie/
Starting from the definition of an Anti-Magic Square (AMS), the article presents the structure and construction methods of the AMS. Programs written in the c-language are available for download.
http://ion.uwinnipeg.ca/~vlinek/jcormie/
» The Magic Encyclopedia
Encyclopedia with articles relating to magic squares, cubes, hypercubes and other objects
http://www.magichypercubes.com/Encyclopedia/
Encyclopedia with articles relating to magic squares, cubes, hypercubes and other objects
http://www.magichypercubes.com/Encyclopedia/
» The Magic Square Record
Includes short description of magic squares. Keeps records for largest hand-written squares between 1975 and 1990.
http://www.recordholders.org/en/records/magic.html
Includes short description of magic squares. Keeps records for largest hand-written squares between 1975 and 1990.
http://www.recordholders.org/en/records/magic.html
» The Perfect Solutions for the Magic Square
Brief history and definition. Construction algorithms are presented for the odd, even, and singly even squares. (English/Korean)
http://user.chollian.net/~brainstm/MagicSquare.htm
Brief history and definition. Construction algorithms are presented for the odd, even, and singly even squares. (English/Korean)
http://user.chollian.net/~brainstm/MagicSquare.htm
» The Zen of Magic Squares, Circles, and Stars
Features reviews, information and index of Clifford A. Pickover's book. Publication focuses on historical and cultural attitudes towards the significance of the squares.
http://sprott.physics.wisc.edu/pickover/zenad.html
Features reviews, information and index of Clifford A. Pickover's book. Publication focuses on historical and cultural attitudes towards the significance of the squares.
http://sprott.physics.wisc.edu/pickover/zenad.html
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Last Updated: 2007-01-02 17:54:38
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