61. Studio Blue Square: A BOKA Powell Company Studio Blue Square, in association with BOKA Powell, provides supplemental graphic resources in 3D Visualization, Animation, Website Development, Graphic Design, Motion http://studiobluesquare.com/

62. Math Forum: Suzanne Alejandre: Magic Squares Curriculum resources, student activities and explanations of puzzles. http://mathforum.org/alejandre/magic.square.html

A Math Forum Web Unit Suzanne Alejandre's Magic Squares Suzanne's Math Lessons Suzanne's Tessellation Lessons Magic squares received their name because there are so many relationships between the sums of the numbers filling the squares. Students often believe that "mathematics" was "written" by one person. In these pages you will find that the magic square mathematical game has existed throughout history and in many different parts of the world. Math is all around us and your mind will see it when you're ready! What is a Magic Square? Allan Adler defines and discusses some special properties of magic squares. Magic Squares - History, Mathematics, Geography Lo Shu Magic Square The Back of the Divine Tortoise Classroom Activity China - the country of Lo Shu ... GEOM ART RY - Ralph Martel Benjamin Franklin's 8x8 Magic Square The World of Benjamin Franklin - the Franklin Institute Classroom Activity Pennsylvania, U.S.A. - Benjamin Franklin's State ... Classroom Activity Where's the Math? - with Allan Adler Classroom activities: multiplying magic squares Constructing magic squares Defining the magic square; special properties ... Review: Squaring a magic square Mike Morton's Magic Square Java Applet Updated Magic Square Java Applet by Pavel Safronov and Michael McKelvey Dubi Kaufmann's Magic Square Puzzle H. B. Meyer's

63. Franklin's Magic Squares How Benjamin Franklin constructed his magic squares. Autobiographical extract included. http://mathpages.com/home/kmath155.htm

Franklin's Magic Squares Return to MathPages Main Menu

64. Index Of Prime Magic Squares Introduction. Prime magic squares, programs and examples. http://digilander.libero.it/ice00/magic/

Community Aggiungi lista preferiti Aggiungi lista nera Invia ad un amico Crea Profilo Blog Video Sito Foto Amici Esplora Index of Prime Magic Squares Index Magic Square: What is a magic square? Prime Magic Square: What is a prime magic square? Prime Analysis: How is the magic constant for prime magic square and what order are available? Muncey Analysis: How was build the Muncey order 12 magic square? Manual Construction: see how I manually (with computer help) construct squares of order 15 and 17. Automatic Construction: see how my programs build (random) prime magic squares of order 12, 15, 17 and 22. Double Square: I build a double square of order 12. See how. Order 35: My program now generate a 35 order prime magic square. Order 124: Yes this high order was generate in semi-automatic mode in a time that I think below of order 35. The order 191 seems near my hand... Muncey Construction: I have suppose the steps used by Muncey to build his 12 order square. Other primes: Here the true prime sequence...

65. About | Square A Circle This is an example of a WordPress page, you could edit this to put information about yourself or your site so readers know where you are coming from. http://squareacircle.com/?page_id=2

66. 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

contents math cats explore Magic Squares In magic squares, each row and each column and each diagonal adds up to the same number. But look at the green markings at the top of this page! This special magic square adds up to the same number in all of these ways. (Don't take our word for it! Use your mental math and see for yourself!) It is called a "pan-magic square." We didn't invent this magic square. A famous German artist, Albrecht Dürer, included it in an engraving called "Melancholia" in the year 1514! The most magic thing of all is that you can see the year "1514" in the middle of the bottom row. Pass your mouse over the square to see what it looked like in the 1514 engraving! Click on the square to visit our Math Cats' magic square activities.

67. NYREJ - Columbus Square, A New Community Developed By The Chetrit Group And Stel The New York Real Estate Journal provides the latest commercial real estate news for the entire state of New York. Read profiles of the most influential companies and people http://nyrej.com/33048

hit enter key to submit HOME Archive Click to view our Newspaper Display Advertisers June June 23 - 29 Previous Next This Week's Sections Cover Front Section Long Island CDE ... Ask the Experts All Sections Design / Build Financial Digest Front Section Green Buildings ... Resources Tools: about rss smaller font larger font The Largest Weekly Commercial Investment Real Estate Newspaper in the State Password: SUBSCRIBE now to the New York Real Estate Journal paper site. NEW YORK REAL ESTATE JOURNAL News Archive May 12 May 26 Jun 09 Jun 23 Jul 14 Jul 28 Aug 11 Newspaper Subscribe Renew Trial Media Kit ... Send News Website Media Kit Flip Books Advertise About Us ... Daily Newsletter Columbus Square, a new community developed by The Chetrit Group and Stellar Mgmt. is set to open Rendering, Columbus Square New York, NY "Our vision was to create a unique community within a community," said Meyer Chetrit, co-developer of Columbus Square. With such notable retailers as Whole Foods, Columbus Square will be the premiere rental community in Manhattan," he added. Columbus Square, featuring 710 rental units, is composed of five buildings. 808 Columbus Ave., rising 29 stories features 359 units. 775 Columbus Ave. has 12 stories and 56 apartments, 795 Columbus Ave. features 15 stories and 132 apartments, 805 Columbus Ave. is comprised of 14 stories and 63 apartments, and 801 Amsterdam Ave. has 15 stories and 100 apartments. The floor plans of the units range from studios to four bedroom penthouses.

68. 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/

Introduction Magic squares are arrangements of numbers into squares, cubes, or hyper-cubes where the sum of each row and each column is identical. Additionally, the sum along the "principal diagonals" is also equal to the same number. The magic square below was known in antiquity in China, Greece, and Egypt. It is interesting to note that subtracting a constant from each cell in a magic square or hyper-cube does not change its essential property: namely, that the sum of any row, column, or principal diagonal is identical. For example, the following magic square is obtained by subtracting 5 from each cell in the magic square above: An interesting property about this square is that all rows, columns, and principal diagonals sum to 0. Also, it is easy to visually recognize symmetry in the square. This web site contains: Examples Instructions Applications Theory ... Symmetry - examples using "tuples" Generator - program for generating magic squares and Hyper Cubes Other Web Sites for Magic Squares and Cubes Please see the Instructions Page before viewing the Magic Squares and Hyper Cubes Generator Site Map: Postal address P.O. Box 567; Niwot, CO 80544

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

Vignette 20 Magic Squares An normal magic square is an arrangement of the numbers 1, 2, 3, ... n in a square array, with the property that the sum of every row and column, as well as both diagonals, is the same number. An example of a normal magic square is You can verify that each of the three rows, the three columns, and the two diagonals add to 15. Magic Squares in History Magic squares have been studied for at least three thousand years, the earliest recorded appearance dating to about 2200 BC, in China. In the 9 th magic square with some very interesting properties is attributed to him. What is the Magic Sum? Given an normal magic square, suppose M is the number that each row, column and diagonal must add up to. Then since there are n rows the sum of all the numbers in the magic square must be . But the numbers being added are 1, 2, 3, ... n , and so 1 + 2 + 3 + ... + n . In summation notation, . Using the formula for this sum, we have , and then solving for M gives . Thus, a normal magic square must have its rows, columns and diagonals adding to

70. En.wikipedia.org (716) 8241900 1603 Seneca St, Buffalo, NY 14210 http://en.wikipedia.org/wiki/square(a)

71. Magic Squares And Dihedral Group D4 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 The sum of the numbers in each row, column and main diagonal is the same. It is called the magic constant . In the applet below, magic squares of order (size) 3, 5, 7 and 9 may be explored. A magic square of odd order n contains the integers from 1 to n , arranged so that the rows, columns and diagonals sum to the magic constant ( n n + 1)) / 2. The middle number in each square is ( n + 1)/2. Read more about the squares and the applet here applet-java must be enabled Applet Controls Reset : reset to initial square R0 : rotate degrees clockwise R1 : rotate 90 degrees clockwise R2 : rotate 180 degrees clockwise R3 : rotate 270 degrees clockwise FH : flip horizontally FV : flip vertically FX+ : flip on the line y = x FX- : flip on the line y = -x Order : select the size of the square The Applet The buttons in the applet apply a set of motions to the square which is known in group theory as the dihedral group D4 . The motions are all rotations and reflections of the square in the Euclidean plane, which are rigid in the sense that they do not bend, tear or stretch the square. These rotations and reflections preserve the magic quality of a magic square.

72. Squaring The Circle Thus it's impossible to square a circle using a straightedge and a compass; but like the problem of angle trisection, this one can be solved by other means. http://www.cut-the-knot.org/impossible/sq_circle.shtml

73. Solving Magic Squares An attempt to solve for all possible magic squares, a mathematical treatment. http://www.mathpages.com/home/kmath295.htm

Solving Magic Squares Note 1 The Determinants of 4x4 Magic Squares Magic Square of Squares Orthomagic Square of Squares ... Return to MathPages Main Menu

74. How To Square A Number In Your Head@Everything2.com Ok, first you have to know how to square a binomial. That's a fairly simple process Just multiply the first terms the middle terms, twice, then the outer terms and sum them up. http://everything2.com/title/how to square a number in your head

75. 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/

4x4 Magic Square Solver I vaguely remember hearing about Perplex City when it was first launched, but I was too caught up in just about everything else to take too much notice. I do remember thinking that a worldwide puzzle/scavenger hunt game with an online component sounded right up my alley, but I was disappointed that the "crossover into real-life" events were centered in a country I had never set foot in. A number of times since then, I've been reminded of the game's existence, most recently when I heard that Perplex City would be having its first official U.S. event right here in San Francisco...on a day when I already had obligations. In spite of my inability to attend the event, there's been a resurgence in my interest, and last Friday while in Berkeley for a concert I picked up a few packs of "PC" cards from Games of Berkeley. Whoo boy, the good times are a-startin'. I love myself a good mental workout, and the Perplex City cards provide just that in diverse forms and at varying intensity. From pattern-matching to pop-culture knowledge, logic puzzles, physics problems, political trivia all abound. Probably my favorite aspect of Perplex City problem-solving so far is scripting solutions to some of the more complicated puzzles. When I was working on a solution for card #098 'Magic Square', I came up with a script which can be used to solve any 4 by 4 magic square, where the rows, columns, and diagonals all add to the same number.

76. Magic Squares - All You Ever Wanted To Know 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

Magic Squares "I have often admired the mystical way of Pythagoras, and the secret magic of numbers" - Sir Thomas Browne, 1605 - 1682 The above quotation accurately describes my own fascination with numbers generally, but also with Magic Squares (or Quadramagicology , as " New Scientist " magazine recently called it). I hope to show you in these pages some of the many aspects of Magic Squares, and maybe kindle that spark in you too. As opposed to other ways people find to spend their time online, such as flash games, bingo , or facebook, Magic Squares are not only fun, but they actually help develop your thinking skills in several different ways (e.g. a Magic Squares worksheet is a great educational puzzle for children - did you know you can even teach your baby math The information shown on the pages indicated below is mainly taken from my book on Magic Squares , which I wrote as my "entrance examination" to become a Member of The Magic Circle , although other sources have also been used: What Is A Magic Square? History Of Magic Squares Magic Totals Odd Magic Squares ... Online Store Magic Squares also present an opportunity to learn about probability theory (e.g. combinations and permutations), which crop up all over the place, including, for example, in working out the number of possible poker hands This is, however, an aspect of Magic Squares that is under-developed by most magicians, who often only highlight a small portion of the truly amazing properties of even small squares, such as the 4 x 4.

77. Mellon Square: A Modern Masterpiece On Vimeo The story of Mellon Square, an innovative park created in downtown Pittsburgh in the 1950s. One of the oldest surviving parks built over a parking garage, Mellon Square was http://vimeo.com/7472449

78. Magic Squares ROCK! 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/

79. Is A Square A Parallelogram? Geometry Question Is A Square A Parallelogram? A parallelogram is a quadrilateral in which opposite sides are equal and parallel. A square is a quadrilateral in which all the http://www.blurtit.com/q192678.html

80. Western Square Dancing - DOSADO.COM. The Premier Internet Portal To Western Squa Monthly articles on the square dancing community, including record reviews, apparel tips, and editorials. http://www.dosido.com/

Click here for the world's largest selection of Dance Music from PALOMINO RECORDS/HANHURSTS Square Dancing's Website 100% Sponsored by Hanhurst's Music Review Service Home Clubs Articles Call Lists ... Resources FREE! Submit New Listing Contact Us Link To Us Search Powered by Dosado.com Web Quick Find Site Index Home Clubs Caller/Cuer Gift Certificates Organizations ... Exhibition Groups Articles History Multicycle Classes Challenge Dancing Humor ... Non-Callerlab Callers Corner Square Dance Music Callers Listing Cuers Listing Callers/Cuers Wanted ... SD/RD Music for TV Software Square Dance Music Resources Fund Raising Projects Publications General Resources Mailing Lists ... Newsgroups Related Dance Forms Round Dancing Round Dance Music Contra Dancing Traditional Country Vendors Square Dance Videos Round Dance Videos Helpful Links Submit New Listing Contact Us Link To Us Privacy Statement Click here to buy Called Square Dance CDs Click here to visit American Square Dance A monthly magazine Linked to DOSADO.COM?

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