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| | Magic Squares |
 | | Because the concept of a magic square is so easily understood, magic squares have been particularly attractive to puzzlers and amateur mathematicians. | | | The number of normal magic squares increases dramatically as the size of the square increases. | | | Magic squares have been studied for at least three thousand years, the earliest recorded appearance dating to about 2200 BC, in China. |
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http://www.jcu.edu/math/vignettes/magicsquares.htm
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| | Rubik's Cube - Wikipedia, the free encyclopedia |
| | Some cubes have also been commercially produced with markings on all of the squares, such as the Lo Shu magic square or playing card suits. | | | When the cube is unscrambled apart from the orientations of the central squares, there will always be an even number of squares requiring a quarter turn. | | | If you have a marker pen, you could, for example, mark the central squares of an unshuffled cube with four coloured marks on each edge, each corresponding to the colour of the adjacent square. |
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http://en.wikipedia.org/wiki/Rubik's_Cube
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| | Magic Cube-Bibliography |
| | Pages 736 to 753 is about diabolic (perfect) magic cubes and points out there are 3m diabolic magic squares parallel to the faces of the cubes and 6m diabolic magic squares parallel to one of the diagonal planes. | | | Chapter VII (pp 193-221 is on magic squares and cubes. | | | One of these cubes has magic squares on the 6 faces, the other has 6 central magic squares. |
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http://members.shaw.ca/hdhcubes/cube_biblio.htm
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| | allmath.com - Magic Squares Game |
| | In this game, you must fill in the magic squares. | | | Magic squares have been a fascinating topic in mathematics for centuries. | | | In the easy level, you are given the numbers beginning from one and must create a magic square. |
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http://www.allmath.com/magicsquare.php
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| | Hyper Magic Cube |
| | The bug in the previous program has been romved (in pan magic squares of odd order divisible by three). | | | Magic Squares- Age old script to display magic squares. | | | It displays simple, pan-n-agonal and perfect hyper-cubes and inlaid magic squares. |
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http://www.geocities.com/soni_abhinav
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| | Magic Cubes-Introduction |
| | The 6 oblique squares on the 7 diagonal cube I have (from orders 5 to 9) all are also simple magic squares (Dec. 2003). | | | A short description of the characteristics of pandiagonal and semi-pandiagonal magic squares and their counterpart in the pantriagonal and semi-pantriagonal magic cubes. | | | Seven order 5 cubes that are magic because all relevant line sums are evenly divisible by the same number i.e. |
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http://members.shaw.ca/hdhcubes
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| | Magic Cube |
| | Each individual cube has 6 squares; together there are 6x8=48 squares, 24 squares are visible, 24 are hidden. | | | The magic cube can also be the three-dimensional extension of the "magic square" or "Rubik's Cube". | | | The Magic Cube is not a toy for small children. |
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http://www.mathematische-basteleien.de/magiccube.htm
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| | Magic Cubes and Tesseracts |
| | Magic cubes are, as it were, three-dimensional magic squares. | | | This page lists links and bibliography on magic squares, cubes, or hypercubes. | | | A magic cube is defined as a cubical array such that all rows, columns, pillars, and four triagonals of the array sum to the same value (called the (magic) constant or the magic sum). |
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http://homepage2.nifty.com/googol/magcube/en
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| | Perfect Magic Cubes |
| | The squares in the surface planes are not magic. | | | There is an interesting subgroup: Cubes where all squares in the surface planes are magic. | | | In a 'perfect' magic cube each of the 3m orthogonal planes contains a (non-normal) magic square. |
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http://www.trump.de/magic-squares/magic-cubes/cubes-1.html
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| | magic squares at Math Cats: fun, easy, and interactive! |
| | In magic squares, each row and each column and each diagonal adds up to the same number. | | | magic squares at Math Cats: fun, easy, and interactive! | | | This special magic square adds up to the same number in all of these ways. |
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http://www.mathcats.com/explore/puzzles/magicsquare.html
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| | FatherMatt's Runescape Tower |
| | Yellow squares are computer characters and black ones are stairs or ladders. | | | Runescape Planet has a number of skills guides in the left-hand column. | | | As Runescape Help explains, on the map available in your game window, "You are the big white square in the middle. |
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http://www.servantsofmystery.com/fathermatt/runescape.htm
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| | MASTER OF MAGIC, Microprose |
| | Master of Magic (MOM) is an introductory-level strategy game that takes place in a fantasy milieu. | | | A city's borders in MOM is defined by the immediate squares around it (with a radius of 2, like in Civ). | | | MOM is not much of a strategy game, period. |
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http://www.ibiblio.org/GameBytes/issue21/greviews/momrev.html
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| | uksearch.com results : Squares |
| | Create word searches, magic number squares, vocabulary bingo cards, flash cards, matching, multiple choice quizzes, crossword puzzles and other activities from your vocabulary words and clues... | | | Original mouse drawn graphics, includes page sets, greeting cards, banners, quilts squares, and blogging graphics. | | | Contains news, fixtures, table, squares, honours and membership... |
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http://uksearch.com/scripts/qhandler.aspx?qry=Squares&ass=1218&filter=3
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| | Educational Software for Teachers - WISCO Computing - Vocabulary Word Games |
| | Create crossword puzzles, matching and multiple choice quizzes, word searches, vocabulary bingo cards, magic squares, and flash cards from your words and definitions. | | | Create randomized vocabulary activities including matching and multiple choice quizzes, cryptolists, word searches, vocabulary bingo cards, magic squares, and flash cards from your words and definitions. | | | 16 Teacher vocabulary word games using your vocabulary words and definitions. |
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http://www.wiscocomputing.com
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| | About "Magic Square, Cube, Hypercube" |
| | The usual form is filling consecutive integers into the cells of a square such that each row, column and diagonal sums to the same number. | | | Links to information on: Magic cube and hypercube; Magic square with prime numbers; Bimagic square, Trimagic square...; What about Magic Sphere?; Anti magic square. | | | Magic squares have been studied for a long time by both orientals and occidentals. |
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http://mathforum.org/library/view/5240.html
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| | Chess Game in Colour |
| | (example--- the game with the carpets, i made with the help of a whole village in India and works on the same principle- finding their opposite player) same as the other game with the coloured squares. | | | Intricate strategy games with the flavour of chess. | | | Alternative chess game (played in colour) that uses the same moves as traditional chess but changed from a competitive to a co-operative game. |
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http://colourchess.blogspot.com
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| | Encyclopedia Magica: Magic |
| | Dee and Kelley made use of wax tablets called almadels engraved with magical symbols; they also used a large number of 49-inch squares filled with letters of the alpahbet. | | | Black magic invariably involves imitative magic, in which there is said to be a link between a person or object and something sharing its resemblance (e.g., a wax figure or doll). | | | In black magic harm may be inflicted upon a victum by forming the magical image and then pricking it with pins, breaking its limbs off, or consigning it ti a fire. |
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http://www.drstrange.nl/drstrange/sanctum/book/bginfo/magic.htm
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| | Warriors of Might and Magic Walkthrough - IGN FAQs |
| | There might be a few more squares in the path?s width and length, but the tile moves too quick for me to be 100% sure. | | | I don?t know if it is stronger than the magic mail or not. | | | On the stone bridge there is a bat waiting for you. |
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http://faqs.ign.com/articles/400/400013p1.html
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| | New Floors |
| | http://www.nepalbusinessonline.com/contents/about_carpet/prices.html Carpet squares - carpet square closeouts and overruns! | | | Residential and commercial, broadloom woven and hand tufted carpets, carpet tiles and area rugs. | | | http://www.textiles-x.com/topics/carpet-padding.html Carpet Corporation of America;rugs:carpet, ceramic tile, area rugs,... |
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http://newfloors.blogspot.com
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| | intrinsic.html |
| | Keywords magic squares, magic squares - history, magic cubes, Franklin squares, Chladni figures, Jaina squares, magic squares and Pythagorean triples, number curiosities, magic squares curiosities, bordered magic squares, panmagic squares, magic circles, magic stars, magic spheres, magic octahedroids | | | Keywords magic squares, astrology, hyperspace, calendars, geometric constructions, trisection of an angle, hieroglyphs, History of numbers, number theory, geometry, railway shunting, squared rectangles, paper cutting | | | Keywords classroom recreations, number curiosities, magic squares, number puzzles, matchstick puzzles, moving coins, moving counters puzzles, crossnumber puzzles, cryptarithm, word arithmetic, skeleton division, pencil and paper recreations, inferential problems, clock puzzles, geometric designs, arithmetic puzzles, epigrams |
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http://www.ucalgary.ca/library/sfgate/strens/intrinsic.html
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| | Encyclopedia4U - Magic square - Encyclopedia Article |
| | Magic squares consist of a number of integers arranged in the form of a square in such a way that the sum of the numbers in every row, column and diagonal are the same. | | | In the magic square of order N=4, the numbers in the four central squares and one square at each corner are retained in the same place and the others are interchanged with their diametrically opposite numbers. | | | In the magic square of order N= 8, the same is done- the 16 central squares and 4 squares at each corner are retained in their places and the rest are switched. |
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http://www.encyclopedia4u.com/m/magic-square.html
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| | Science Math Recreations Magic Square |
| | Multimagic Squares - Magic squares which remain magic after their entries are raised to various powers. | | | Math Forum: Multiplying Magic Squares - Includes pages, most for use in the classroom, covering what a magic square is, the math behind them and how they are constructed. | | | Finding Magic Squares Using CCM - The Chemical Casting Model (CCM) method is used to create Magic Squares as demonstrated with a Java Applet. |
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http://www.seniorsearche.com/se/Science/Math/Recreations/Magic_Square
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| | Science Math Recreations Magic Square |
| | Multimagic Squares - Magic squares which remain magic after their entries are raised to various powers. | | | Math Forum: Multiplying Magic Squares - Includes pages, most for use in the classroom, covering what a magic square is, the math behind them and how they are constructed.. | | | Finding Magic Squares Using CCM - The Chemical Casting Model (CCM) method is used to create Magic Squares as demonstrated with a Java Applet. |
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http://www.123-freeware.co.uk/dir/Science/Math/Recreations/Magic_Square
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| | Magic square - definition of Magic square in Encyclopedia |
| | In mathematics, magic squares consist of a number of integers arranged in the form of a square in such a way that the sum of the numbers in every row, column and diagonal are the same. | | | Odd and doubly even magic squares are easy to generate; the construction of singly even magic squares is more difficult but several methods exist, including the LUX method for magic squares (due to John Conway) and the Strachey method for magic squares. | | | Paul Muljadi discovered and proved the n-Queens Problem is related to Magic squares because the Magic constant of n Queens Problem is also the Magic constant of Magic Squares of order n > 3. |
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http://encyclopedia.laborlawtalk.com/Magic_square
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| | Matches for: Title=(magic square) |
| | Xin, Zhu Ding Dual matrices of order $5\sp n$ satisfying the strong magic condition, and magic squares. | | | Chen, Rong Sheng A method for constructing a class of multiplier magic squares of even order with nongeometric progressions. | | | Chen, Rong Si A method for constructing even order magic squares by a common general formula. |
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http://www.cs.man.ac.uk/~dbree/Reviews/magic.html
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| | Bibliography |
| | Note that Gardner erroneously stated that all 5 x 5 magic squares with 13 in the center are associated. | | | Pages 736 to 753 is about diabolic (perfect) magic cubes and points out there are 3 m diabolic magic squares parallel to the faces of the cubes and 6 m diabolic magic squares parallel to each of the diagonal planes. | | | This book is mostly about magic squares, but includes discussions and examples of magic cubes and magic stars. |
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http://www.geocities.com/~harveyh/bibliography.htm
(2019 words)
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| | Bibliography |
| | Pages 736 to 753 is about diabolic (perfect) magic cubes and points out there are 3m diabolic magic squares parallel to the faces of the cubes and 6m diabolic magic squares parallel to each of the diagonal planes. | | | Note that Gardner erroneously stated that all 5 x 5 magic squares with 13 in the center are associated. | | | This book is mostly about magic squares, but includes discussions and examples of magic cubes and magic stars. |
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http://www.geocities.com/~harveyh/bibliography.htm
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| | magic square: Definition and Much More From Answers.com |
| | In the magic square of order four, the numbers in the four central squares and one square at each corner are retained in the same place and the others are interchanged with their diametrically opposite numbers. | | | Odd and doubly even magic squares are easy to generate; the construction of singly even magic squares is more difficult but several methods exist, including the LUX method for magic squares (due to John Conway) and the Strachey method for magic squares. | | | Magic squares have been found in such widely divergent cultures as ancient China, Egypt, and India, as well as W Europe. |
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http://download.answers.com/topic/magic-square
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| | The Zen of Magic Squares, Circles, and Stars: |
| | Readers are treated to a colorful history of magic squares and similar structures, their construction, and classification along with a remarkable variety of newly discovered objects ranging from ornate inlaid magic cubes to hypercubes. | | | Whether you're seeking an introduction to magic squares, an in-depth study, some historical information, or just some enjoyable magic figure problems, tricks, properties, or novelties-this book is for you. | | | Pickover explains why Chinese emperors, Babylonian astrologer-priests, prehistoric cave people in France, and ancient Mayans of the Yucatan were convinced that magic squares--arrays filled with numbers or letters in certain arrangements--held the secret of the universe. |
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http://sprott.physics.wisc.edu/pickover/zenad.html
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