Contents  > Science  > Math  > Recreations  > Magic Square

See also:

• Science: Math: Recreations: Games and Puzzles  (66)

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

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

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

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

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

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/

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

Magic Cubes Harvey Heinz's introduction to mathematical magic cubes including classification, a time-line and extensive bibliography." http://members.shaw.ca/hdhcubes/

Magic Cubes The site presents a program for finding all possible order 3 cubes, executable and source included. http://www.delphiforfun.org/Programs/Source_Listings/MagicCubeSource.html

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/

The Magic Encyclopedia Encyclopedia with articles relating to magic squares, cubes, hypercubes and other objects http://www.magichypercubes.com/Encyclopedia/

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

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

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/

Magic Square Puzzle Solve this 4x4 jig-saw puzzle. [Flash] http://www.dubster.com/math

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

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

Magic Squares An introduction, with algorithms for generating odd, and doubly even (4k) squares. References. http://www.jcu.edu/math/vignettes/magicsquares.htm

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/

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

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

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

Math Forum: Magic Squares Applet 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/

Math Forum: Multiplying Magic Squares 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

Mathpages: Franklin's Magic Squares 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

MathWorld: Magic Squares 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

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

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

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

Prime Magic Squares 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

Science News for Kids: MatheMUSEments 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

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

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/

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/

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