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Magic squares have been a fascinating topic in mathematics for centuries. They are formed by filling in all the squares with the numbers starting from one so that the sum of ... In this game, you must fill in the magic squares. In the easy level, you are given the numbers beginning from one and must create a magic square.
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www.allmath.com/magicsquare.php
www.allmath.com/magicsquare.php
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Will Shortz used the 4×4 multiplicative square for his NPR Puzzle of the Week on October 9, 2005. Over two thousand people sent in solutions. ... In 1983 (Discrete Mathematics), Borkovitz and Hwang proved that 5040 is the smallest possible magic product in a 4×4 square. Christian Boyer, Dan Asimov, Michael Kleber,
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www.maa.org/editorial/mathgames/mathgames_11_07_05.html
www.maa.org/editorial/mathgames/mathgames_11_07_05.html
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The Perfect Solution For the ; MAGIC - SQUARE ; ... Solutions for the 3 types of Magic Square ... If you remember solutions down here, You can construct any magic square(n>2).
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user.chollian.net/~brainstm/MagicSquare.htm
user.chollian.net/~brainstm/MagicSquare.htm
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Magic Square by Constraint Programming, etc. -- ``Magic Squares: Filling the Gaps'' ... Freudenthal-Tits Magic Square ... Magic Square 12 & 15 (Example solutions)
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www.kanadas.com/puzzles/magic-square.html
www.kanadas.com/puzzles/magic-square.html
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Thus we have completely solved for the entries of a 3x3 magic square. Of course, there is essentially only one such square, so our solution is unique (up to rotations ... This naturally raises the question of how common this is, and whether there can be more than two solutions for a given set of parameters (g,h,k,l,p).
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www.mathpages.com/home/kmath295.htm
www.mathpages.com/home/kmath295.htm
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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) ... Siamese Method - The Siamese method generates odd squares of any order above one. Explains the mathematics behind the scenes.
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www.dmoz.org/Science/Math/Recreations/Magic_Square/
www.dmoz.org/Science/Math/Recreations/Magic_Square/
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In recreational mathematics, a magic square of order n is an arrangement of n² numbers, usually distinct integers, in a square, such that the n numbers in all rows, all columns, and both diagonals sum to the same constant.
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ima.epfl.ch/~dmessina/magic-square-generator.html
ima.epfl.ch/~dmessina/magic-square-generator.html
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Merlin's Magic Square: an exercise in linear and boolean algbras ... The applet consists of two 3x3 arrays. On the left, the small one shows the target configuration. To modify the target configuration, click on the squares you want modified. On the right, a bigger one holds the puzzle itself and, if the Hint box is...
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www.cut-the-knot.org/Curriculum/Algebra/Merlin.shtml
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Arrange three 1s, three 2s and three 3s in this square so that every row, column and diagonal adds to the same total. ... This was a great problem! I don't think anybody spotted the fact that there was more than one solution, but we had the four different solutions sent to us individually.
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nrich.maths.org/public/viewer.php?obj_id=1819&part=solu...
nrich.maths.org/public/viewer.php?obj_id=1819&part=solution
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