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Magic Square
Directory > Science > Math > Recreations > Magic Square
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| Science > Math > Recreations > Games_and_Puzzles (66) |
  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] |
Includes Java Applet and source code of square and hyper cube generator. Options for dimensions and offset. |
Definition, examples, and construction. Includes algorithms for odd, doubly and singly even squares. |
Demonstration of the properties of a pan-magic square. |
Examples, original works, algorithms, and theorems on magic cubes, tesseracts, and hypercubes. (English/Japanese) |
Interactive game to construct Magic Squares. Different degrees of difficulty and size of square. Hints and solutions provided. |
Harvey Heinz's introduction to mathematical magic cubes including classification, a time-line and extensive bibliography." |
Introduction to the Durer magic square. Activities including the magic carpet. |
Walter Trump explains magic squares, and presents computer estimates of squares of different orders. |
An attempt to solve for all possible magic squares, a mathematical treatment. |
How Benjamin Franklin constructed his magic squares. Autobiographical extract included. |
A paper describing the generation of 3x3 Distinct Prime Magic Squares using a computer program. |
Solve this 4x4 jig-saw puzzle. [Flash] |
Includes bordered or consecutively concentric magic squares. Demonstrates odd and even numbered squares and makes bordered squares of any size. |
Presents 2xn and 3xn rectangles, as well as squares of order 4,5 and 8. Generation of the last by knight's tour. |
Squares that remain magic after entries are raised to various powers. Examples, constructions, bibliography and links compiled by Christian Boyer. (English/French/German) |
Introduction with reference to Victor Hill and Bach. |
Brief history and definition. Construction algorithms are presented for the odd, even, and singly even squares. (English/Korean) |
The Amazing Mathematical Object Factory generator makes up to 10 squares of order 1 to 10. Brief history and introduction included. |
Try to put 8 queens on an 8x8 square such that the queens sit on prime numbers. Readers' solutions provided. |
The Durer and Loh Shu squares. Starting from basic operations, mathematical derive distinct squares from existing ones. |
Includes classroom material covering introduction, the math behind, and methods of construction. |
Java applet and source files.[JRE to run] |
Introduction to Magic Stars. Construction, analysis and transformations. |
Curriculum resources, student activities and explanations of puzzles. |
Includes short description of magic squares. Keeps records for largest hand-written squares between 1975 and 1990. |
Java applet generates odd ordered squares, with options to transformations by rotations and reflections. Source code provided. |
An introduction, with algorithms for generating odd, and doubly even (4k) squares. References. |
A 25x25 magic square with 25 sub-squares and other properties. Maple program and PostScript files available for download. |
The site presents a program for finding all possible order 3 cubes, executable and source included. |
Features reviews, information and index of Clifford A. Pickover's book. Publication focuses on historical and cultural attitudes towards the significance of the squares. |
Description of Durer's square and an alphamagic square. |
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]. |
Presents the "Magic Carpet" approach by "Grog". Downloads available for analyzers and creators in Excel format. |
Introduction. Prime magic squares, programs and examples. |
Introduction to magic squares. Basic/C computer programs to generate odd squares. Calculates 8x8 squares with any given date on the first line. |
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. |
Features magic squares, rectangles and the author's signature magic diamonds commemorating historic and personal milestones. |
The Siamese method generates odd squares of any order above one. Explains the mathematics behind the scenes. |
Encyclopedia with articles relating to magic squares, cubes, hypercubes and other objects |
Given at least two numbers, provides possible solutions for a 4x4 magic square where the desired sum is 34. |
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