61. MAGIC SQUARES magic squares. Data Base. 8 x 8 complete magic square can not be generatedby Knight s movement tour; 3 x 3 magic squares of Prime Numbers; http://www.sinc.sunysb.edu/Class/est56501/Freda Yao Tang/sq1/magic7.htm

Magic Squares Data Base Examples of Magic Squares 3 x 3 to 20 x 20 (by TAMORI's method) (Caution! Errors were found in 4n+2 type squares by Martin Henz) Examples of Magic Squares 3 x 3 to 10 x 10 (by MATLAB) Magic Squares of 4 x 4 (880 = 220 x 4) Complete Magic Squares of 4 x 4 (48 = 3 x 16) Selfcomplement Magic Squares of 4 x 4 (352) ... Fundamental set of Complete Magic Squares of 5 x 5 (144) (by Professor Grogono) Ultra Super Magic Squares of 5 x 5 (Sixteen complete and selfcomplement magic squares) Complete and/or special 8x8 squares 8 x 8 square by a Knight's movement tour (but not magic!) 8 x 8 complete magic square can not be generated by Knight's movement tour 3 x 3 Magic Squares of Prime Numbers 3 x 3 Magic Squares of Prime Numbers ( arithmetic series ) 3 x 3 Magic Squares of Prime Numbers (arithmetic and/or consecutive series ) ... Complete but Irregular Magic Squares (Abe Gakuho's study) Biggest Magic Square Ever (Ralf Laue's web page on the World Records) Fundamental set of 4x4 semi-magic squares (477 normalized squares) Algebraic form of magic squares AMBi Magic Square of 3 x 3 (by Lee Sallows; Additive for row and column, multipl for diagonals)

62. Magic Squares - Mathematics And The Liberal Arts The author also discusses the possibility of a Hindu study of magic squares;the presumably Arab source of Western magic square mysticism; and later http://math.truman.edu/~thammond/history/MagicSquares.html

Magic Squares - Mathematics and the Liberal Arts To expand search, see Arithmetic and Mathematics and Mysticism . For material on related topics, see The Square . Laterally related topics: Number Systems Numerology Bookkeeping Modular Arithmetic ... Astrology , and Pseudoscience The Mathematics and the Liberal Arts pages are intended to be a resource for student research projects and for teachers interested in using the history of mathematics in their courses. Many pages focus on ethnomathematics and in the connections between mathematics and other disciplines. The notes in these pages are intended as much to evoke ideas as to indicate what the books and articles are about. They are not intended as reviews. However, some items have been reviewed in Mathematical Reviews , published by The American Mathematical Society. When the mathematical review (MR) number and reviewer are known to the author of these pages, they are given as part of the bibliographic citation. Subscribing institutions can access the more recent MR reviews online through MathSciNet Biggs, N. L. The roots of combinatorics.

63. Harcourt School -- E-Lab Integer Games. What You Will Do You will solve magic squares that contain integers.How You Will Use It You will know how to add and subtract integers. http://www.harcourtschool.com/elab/act_8_3.html

E-Lab Grade 8 Activity 3 Integer Games What You Will Do: You will solve magic squares that contain integers. How You Will Use It: You will know how to add and subtract integers. You will need to print a recording sheet to do this activity. (We're sorry, your browser doesn't support Java or Java may be turned off.) Download Activity You will need Acrobat Reader to view and print the recording sheet. Click this icon to view a printable PDF recording sheet Back to Activity

64. Magic Square The magic square Intro Page is an excellent synopsis of this field. Here is the mostfamous magic square, from Albrecht Durer s Melancholia. He did it in 1514. http://www.mathpuzzle.com/masquare.htm

Welcome to mathpuzzle.com Magic Squares Several palindromic magic squares can be found at The World of Numbers . The World of Palindromic numbers would be more appropriate. The Magic Square Intro Page is an excellent synopsis of this field. Here is the most famous magic square, from Albrecht Durer's Melancholia. He did it in 1514.

65. Magic Square Patterns magic square Patterns. The replicated. Square A the 8 patterns generatedfrom rotations and reflections of continuous magic square A. http://web.idirect.com/~recmath/ms04.html

Magic Square Patterns The Javascript Pattern Generator is really the best way to explore the patterns that can be generated from Magic Squares. The following pages give some idea of the kinds of patterns possible. The continuous Magic Squares generate continuous patterns - best seen when the pattern is replicated. Square A the 8 patterns generated from rotations and reflections of continuous Magic Square A Square B the 8 patterns generated from rotations and reflections of continuous Magic Square B Square C the 8 patterns generated from rotations and reflections of continuous Magic Square C All the Patterns all 8 basic patterns (not counting rotations and reflections) Mapping of Squares to Patterns how the three basic squares map to the 8 basic patterns Replicated Pattern P1 the pattern with the most symmetries? Replicated Pattern P2 interesting relationship to a pattern Escher noted in Alhambra tiles Replicated Pattern P3 quilt Replicated Pattern P4 Replicated Pattern P5 Replicated Pattern P6 abstract Replicated Pattern P7 arrows Replicated Pattern P8 Topic Index

66. June04 TopCoder Problem Statement: CRT Fun (Level 1) A magic square is a 3x3 array of numbers, such that the sum of each row, column,and diagonal are all the same. Problem Statement magic square (Level 1, Easy). http://www.devx.com/DevX/HTML/17955

Welcome, Guest! Log In Register for Premier Club Include Code Search Tips TODAY'S HEADLINES ARTICLE ARCHIVE SKILLBUILDING ... NEWSLETTERS Problem Statement You will be given a int[] mods such that no two distinct elements of mods share a factor greater than 1. In other words, every pair of distinct elements will be relatively prime. Let P denote the product of the integers in mods . Someone has picked an integer between and P-1 inclusive, but they won't tell you it. Instead they reveal what the number is mod k, for each k in mods . The ith element of vals will be the value of the picked number mod the ith element of mods . For example, if mods vals then the number in question will satisfy the following congruences: number mod 2 = 1 , number mod 3 = 2 , number mod 5 = 2 , and number mod 7 = 5 . Return the picked number. To simplify matters, the picked number will never be greater than 100000. Definition Class: CRTFun Method: findSolution Parameters: int[], int[] Returns: int Method signature: int findSolution(int[] mods, int[] vals) (be sure your method is public) Notes The solution will always be unique.

67. Kid Wizard -- Easy Magic Square Easy magic square. Bonus Hint Make the center square 5. For more puzzles like this,go to the Interactive Games Page and look under Interactive magic squares. http://www.kidwizard.com/InteractiveGames/MagicSquareEasy.asp

Easy Magic Square You need to enable java to run this applet. Hint: Try making the rows add up to 15. Bonus Hint: Make the center square 5. For more puzzles like this, go to the Interactive Games Page and look under Interactive Magic Squares.

68. Mike's Magic Place - MAGIC SQUARE magic square ,enter a number from 23 - 100 and press the Calculate button Wenn http://members.aol.com/mdormann/tricks/vernon.html

My Magic Square If you want to create the 'PERFECT MAGIC SQUARE', enter a number from 23 - 100 and press the Calculate button: Wenn Sie das 'PERFEKTE MAGISCHE QUADRAT' erzeugen wollen, dann geben Sie eine Zahl zwischen 23 und 100 ein und klicken auf den Button Berechnung Now let's check which fields will add up to the desired number. The rows: The columns: The 4 squares in the corners: The center square: The diagonals: The 4 corners: ... and now let's check for symmetry:

69. More Magic Squares More magic squares © 2000 Paul C. Pasles Stifel is mentioned in the magic squarewritings of Günther and Cammann, but the squares themselves do not appear. http://www.pasles.org/magic.html

More Magic Squares Click here for the BRAND NEW Franklin Mathematics Page! Here are some obscure but interesting magic squares which are mentioned in my paper "The Lost Squares of Dr. Franklin" ( Amer. Math. Monthly , June-July 2001). Space considerations prohibited their inclusion there. Most of these are difficult to find outside of rare book rooms. Michael Stifel ( Arithmetica Integra fully magic : The rows, columns and 2 main diagonals each sum to the same "magic constant" (369 or 2056). The latter square was originally published with several typos, corrected here. Stifel also comments on multiplicative magic squares! I did not know that these were explored so long ago. Divers ouvrages de mathematique et de physique Although original copies of this book are scarce, the 4 x 4 squares have also appeared in more readily available places: K. H. De Haas, Frenicle's 880 basic magic squares of 4 x 4 cells (Rotterdam: Van Sijn, 1935). Phil. Trans. Royal Soc. London, Series A , 1982. (Some libraries also have this article in a bound reprint.) The 880 squares are listed in the appendix. Here is a magic square from the anonymous 18th century author whose notes were found among the Franklin papers: Links Web pages cited in the paper A construction of Franklin squares, by Neil Abrahams.

70. SWR Wizadora Material 8 magic square Something To Eat - Lösung. G. S. U. G. A. R. H. I. E.G. G. J. Material 8 magic square - Find The Colours! - Lösung. A. E. B. L. U. E.L. M. Q. X. C. F. http://www.wissen.swr.de/sf/begleit/bg0037/wi00o.htm

Film/CD-Station Spiel Bestellung Unterrichtspraxis Auflistung Material Material 8: Magic Square - Something To Eat G S U G A R H I E G G J C F E D C B A Z Y X W V H T M I L K U F L O U R E S R Q P O N M L K J I E D E S F C A K E G H B S C B A Z Y X W V U T I E P Q N R H O N E Y S S F O N D M L K J I H G C J E D W C L E M O N A U A B Z I Y X W V U T S I M Q R C L J T E A F C T P O N H M K I H G E D B A S T R A W B E R R I E You can find thirteen words: Material 8: Magic Square - Find The Colours! A E B L U E L M Q X C F F I C J N R U W Z A G I K Y H P I N K B J P S M P E B D O S T Y K Q T V V L G H N O B L A C K L D L E R U W A C E L M Q I O D J R G H P N O P R K W T Y E S W U G Z B X U E V F D E G R K J R Y F S Z C B H I P L K O H G R E E N Y V L W A W B T U X A Z Q N E D L N O X W H I T E F C M P R I You can find nine colours: Material 8: Magic Square - Find The Numbers! A O N E B T W E N T Y G Y X T U T S R F O U R F Z T W V W F Q P O N D E G H I J O I K F L M C B F R E D C F B I A S I X T E S S L T M V N O P A U E R E K Y A E B C Q Z V W X V J I H U N D F G E D C E B E I G H T H A O N M N L K J I H G N F T E N W V U T S R Q I P X Y Z E L E V E N A N B M L K J I H G F E D E C You can find thirteen numbers:

71. Magic Square Information. games. Mind Stretching, Trivia QuizDom, Jigsaw Palace, QuizCards.Mind Stretching, Trivia Quizdom, Jigsaw Palace, Quiz Cards. magic square 3x 3. http://www.queendom.com/mindgames/mindstretching/puzzles/g10.html

Advanced Search Your E-mail Here: Information games Mind Stretching Trivia Quizdom Jigsaw Palace Quiz Cards Magic Square 3 x 3 Complete this square with integers from 1 to 9 . Each horizontal, vertical and diagonal must add up to QueenDom.Com TM Testing the web since 1996 about us FAQs press room contact us ... home

72. The Magic Square Of The Sun 666 The magic square of the Sun. Is there some kind of a link between the raisedJesus (8880) and the magic square of the Sun whose number is 666? http://www.jesus8880.com/chapters/gematria/666-magic-square.htm

Intro Vol 2 Table of Contents Introduction Download the Book E-Mail The Magic Square of the Sun The earliest Christians were converted pagans. One of the arguments the early Church used to convert pagans to Christianity was that Jesus Christ had more solar attributes than any other god. His face was even reputed to shine like the sun (Matt 17:2). Examining the metaphorical logic of equating Jesus with Helios the Sun, one has to ask ... is there any kind of logical reason or secret knowledge that the early Gnostic Christians were aware of to make these kind of comparisons? Is there some kind of a link between the raised Jesus (8880) and the Magic Square of the Sun whose number is 666? The "magic square of the sun," was one of the most important symbols used to represent the sun in antiquity because of all the symbolism it possessed involving the perfect number "6." There are six sides to a cube, the numbers 1, 2, an 3, when added or multiplied together are equal to "6," and the sum of all the numbers from 1 to 36 arranged in a 6x6 magic square are equal to the number "666." The square is "magic" because the sum of any row, column, or diagonal is equal to the number "111."

73. Magic Squares Of Order 4 Interactive 4x4 magic square generator using backtracking algorithm. panmagicmirrorsymm. magic squares of order 4 requires JavaScript *) http://www.faust.fr.bw.schule.de/mhb/backtrack/mag4en.htm

tabeinf(laenge,laenge,1,leer,'red',' center') tabeinf(laenge,laenge,2,panu,'green','center ') tabeinf(laenge,laenge,3,leer,'blue','center') mouse show quick X delay (ms) Solution #: Stop at next solution: general centralsymm. panmagic mirrorsymm. magic squares of order 4 requires JavaScript *) A mouseclick on any number of the green-bordered square ("number-pool") moves this number into the first empty field of the red-bordered square ("magic area"); a click on any number of the magic area brings the number back to its original place in the pool. Aim A magic square of size 4 x 4 is to be constructed, depending on choice a general, a panmagic or a symmetric one. When "show" or "quick" is activated, a backtracking algorithm will continue the search for a solution; interruption can be caused by clicking the option "mouse". If the Stop-option is activated, the algorithm will stop, whenever a solution is found, and in that case, a search for a next solution may be continued with the corresponding button. The blue bordered square always displays the last found solution. The delay (in milliseconds) regulates the frequency of image output, if "show" is activated. H.B. Meyer

74. Magic Square Dance top PSYCHIC STUNTS, magic square DANCE. by Michael Daniels, http://www.mdani.demon.co.uk/stunt/jan97s1.htm

top MAGIC SQUARE DANCE by Michael Daniels The Stunts Quickies Digital Master Test Your ESP! I Ching Oracle Test Your PK! ... The Magic Number 7 A Little Longer ESP Trainer PK Trainer Psi Quiz Experiment An Astrological Mystery ... Four by Four Magic Square Dance Poker Wizard The Last Card Against the Odds Poker Challenge At Your Leisure Paranormal Crossword Psychic Safari A Card Prediction A Matter of Intelligence ... Magic Books No matter how much you try to outwit me, I will control your thoughts and actions. Do this: From a pack of playing cards, take the Ace (1) to 9 of Spades and arrange them as follows. Place an inverted glass over ANY card. Move the glass the number of times indicated by the card your glass is covering. For example if the glass in on the six, move six times. A legal move involves placing the glass onto any ADJACENT card which is either ABOVE, BELOW, or at the SIDE. However, you may NOT move the glass DIAGONALLY. Try to make your moves as unpredictable as you can (you can move your glass back over a card).

75. Magic Square magic square and five pennies It is divided into two parts; the lower part is a3 by 3 magic square, and the upper part has three numbers 10, 20, and 30. http://math.nmsu.edu/breakingaway/Lessons/magicsquare1/magicsquare.html

Magic Square and five pennies Activity Supplies: 3x5 index cards, markers, pencils, rulers, pennies (5 for each child) A magic square is a square array of consecutive natural numbers, 1, 2, 3, ..., such that the sums of the numbers in each row, in each column, and on both diagonals are the same. Creating magic squares is a very ancient art, and the smallest and best known one is Memorizing addition facts, and being able to recall them instantly, is as important now as it ever was. But many methods for teaching addition facts that have been used previously are not acceptable today. One method involving the whole class worked as follows: The teacher says two numbers, for example "seven, six", and points to a student. The student must immediately get up, stand at attention, answer, "thirteen", and sit down. In this way, in a few minutes every student would answer two or three questions, and everyone was paying attention because he or she could be asked to answer the next question. This kind of "military drill" is not acceptable anymore, but achieving almost automatic computation of sums of small numbers requires a large amount of practice distributed over a long period of time, which is quite a boring activity. The magic square board, described below, is designed to provide practice in addition facts which can be done with the whole class under the teacher's direction.

76. Magic Square magic square. In mathematics order three. It begins with the number twentyand ends with the number twentyeight. Albrecht D?er s magic square. http://www.fact-index.com/m/ma/magic_square.html

Main Page See live article Alphabetical index Magic square 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. A magic square may have odd or even number of rows and columns. Usually the magic square is filled up by consecutive numbers from one to N where N is the number of rows or columns. A magic square is designated with reference to this. Thus a magic square of order N will have N number of rows and columns and will be filled by numbers ranging from one to N More formally, a magic square can be defined as an n -by- n matrix such that the sum of any row, column or main diagonal yields the same result (the square's magic constant, denoted M n )); if these numbers are 1, 2,..., n There are many ways to construct magic squares, but the standard (and most simple) way is to follow certain configurations / formulas which generate regular patterns. Certain other restrictions can be imposed on magical squares, resulting, for example, in bimagic trimagic and multimagic squares, and there are also other forms displaying similar characteristics, including magic circles, magic polygons, and magic cubes.

77. Cynthia Lanius' Lesson: Let's Do MATH - Magic Squares Let s Do Math! Put the numbers in order. (Directions below). ChooseLevel 3 4, Try this mathematical game of skill and logic. The http://math.rice.edu/~lanius/domath/magicsquare.html

Let's Do Math! Put the numbers in order. (Directions below) Choose Level: Try this mathematical game of skill and logic. The object of this game is to put the numbers in order. Choose a Level (3-EASY to 10-HARD). Press the "Start Game" button to start the game, counter, and timer. Move blocks by clicking on them. A block can be moved only if it is in the same row or column as the hole. You can move multiple blocks by clicking the farthest block that you need to be moved. Order all the numbers in a minimum time with a minimum number of moves...Good luck! Original Games by ©Arun Narayanan, Dec 2002 Free JavaScripts provided by The JavaScript Source Let's Do Math Table of Contents Checkerboard Squares Dice Roll - Get a Five Card Game Tower of Hanoi ... Shopping Fun Magic Square Game Fun Math Lessons Cynthia Lanius

78. The World Of Magic Squares Culture an example of a square in art, Construction make your own magic square. Ifit works, you ll fill a magic square like this (n=7, sum=175) http://perso.club-internet.fr/spip/carmagiqeng.html

tab = new DefinitTableau(9); result=new DefinitTableau(8); M ag i c S q ua re s What's that You have to put integers between and on this square knowing that the sum of these numbers must be the same everywhere : on the horizontal lines, on the vertical lines, on the diagonal lines Now have fun Interested in more information Choose your subject and select the corresponding ball : History from China to Europe Mathematics the mathematical definition Culture an example of a square in art Construction make your own magic square Family other kinds of squares History Many ancient civilizations was interested in this curious mathematical thing. You have to go back to the Chinese legends in order to find the really first traces : Once upon a time, 25 centuries ago, King Yu would have seen a strange square on the shell of a sacred tortoise. That square is called Diagram of the Luo river, but it likely appeared in the 10 th century : The first civilization which didn't consider magic squares only as talismans or medicine was the Arab civilization with notably the Egyptian mathematician Ibn al-Haytham (11 th ) how developped methods to fill it The high point of the study of magic squares is reached from the 16 th century in Europe. Successively Pascal (

79. EVA Magic Square The summary for this Japanese page contains characters that cannot be correctly displayed in this language/character set. http://chearts.g--z.com/evaland/

80. Magic Square - Wikipedia, The Free Encyclopedia The original MURDEROUS MATHS Book EXTRA BIT! 4, 6, 13, 20, 22. 10, 12, 19, 21, 3. 11, 18, 25, 2, 9. This is the basic 5x5 magicsquare. How to make a 5x5 magic square add up to other numbers. 17, 24, 1, 5, 15.20, 5, 7, 14, 16. http://en.wikipedia.org/wiki/Magic_square

Magic square From Wikipedia, the free 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. A magic square may have odd or even number of rows and columns. Usually the magic square is filled up by consecutive numbers from one to N where N is the number of rows or columns. A magic square is designated with reference to this. Thus a magic square of order N will have N number of rows and columns and will be filled by numbers ranging from one to N More formally, a magic square can be defined as an n -by- n matrix such that the sum of any row, column or main diagonal yields the same result (the square's magic constant , denoted M n )); if these numbers are 1, 2,..., n ², then Table of contents 1 Brief history of magic squares 1.1 The Lo Shu Square 1.2 The earliest square of order four 1.3 Cultural significance of magic squares ... edit Brief history of magic squares edit The Lo Shu Square Chinese literature dating from as early as 2800 BC tells the legend of Lo Shu or "scroll of the river Lo": in ancient China, there was a huge flood. The people tried to offer some sacrifice to the river god of one of the flooding rivers, the Lo river, to calm his anger. Then, there emerged from the water a turtle with a curious figure/pattern on its shell; there were circular dots of numbers that were arranged in a three by three nine-grid pattern such that the sum of the numbers in each row, column and diagonal was the same: 15. This number is also equal to the 15 days in each of the 24 cycles of the Chinese solar year. This pattern, in a certain way, helped in controlling the river.

Page 4     61-80 of 114    Back | 1  | 2  | 3  | 4  | 5  | 6  | Next 20