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Pandiagonal magic squares

1995
In 1972, Hudson [2] gave a method for the construction of pandiagonal magic squares of order 6t±1. In this paper we give the definition of pandiagonal Latin squares and the methods for the construction of self orthogonal pandiagonal Latin squares of order 4, 8, 9, 27 and prime p⩾5. One can use the technique of Kronecker products for the construction of
Cheng-Xu Xu, Zhun-Wei Lu
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Magic Square Patterns

The Mathematical Gazette, 1959
Diagrammatic methods may be used to establish some well known facts about magic squares In a magic square with 9 cells, the number in the central cell is always a , the average of the three numbers in each row, column or diagonal.
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Discovering the Magic of Magic Squares

The Mathematics Teacher, 2007
A collection of problems that allow students to investigate magic squares and Latin squares, formulate their own conjectures about these mathematical objects, look for arguments supporting or disproving their conjectures, and finally establish and prove mathematical assertions.
Ingrid Semanišinová, Marián Trenkler
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Magic with Magic Squares

The Arithmetic Teacher, 1989
Johnny Carson docs a routine that is a take-off on the answer man. Instead of answering questions, however. Johnny is presented with an answer and he supplies a question having that answer. An analogous situation can be presented to youngsters. Let them play Johnny's part. the part of the question person. Suppo e that you orally give them, say, fifteen.
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Magic Squares and Sudoku

The American Mathematical Monthly, 2012
We introduce a family of magic squares, called linear magic squares, and show that any parallel linear sudoku solution of sufficiently large order can be relabeled so that all of its subsquares are linear magic. As a consequence, we show that if n has prime factoriza- tion p k 1 1 p kt t and qD minf p k j j j 1 j tg, then there is a family of q.q 1 ...
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Super Magic Squares

The Mathematical Gazette, 1956
Though much work has been done on these most interesting squares, there appear to be a few points, anyhow, that are either new or not published anywhere easily accessible to the majority.
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There Are a Lot of Magic Squares!

Studies in Applied Mathematics, 1995
We prove a surprisingly high lower bound for the number of magic squares.
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Magic Squares and Magic Triangles

The Arithmetic Teacher, 1987
For drill, many teacher use magic square, n × narrays of numbers in which the sums of the numbers in each row. each column, and each diagonal are the same. The only difficult y with magic squares is creating them. Once a specific magic square ha been used, it isn't much fun to use it again.
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Magic squares with magic inverses

International Journal of Mathematical Education in Science and Technology, 2007
Characteristic polynomials are used to determine when magic squares have magic inverses. A resulting method constructs arbitrary examples of such squares.
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The Magic of A Square

The Mathematics Teacher, 1970
Perhaps you have seen the beautiful woodcut, “Melancholia,” by the well known sixteenth century German artist, Albrecht Durer. Melancholy-depicted by Dürer not as a dejected spirit but as a creative genius of thought-muses over a problem. Amid the many symbols hanging on the wall is a square array of num bers. This is what it looks like (see fig. 1).
Herta T. Freitag, Arthur H. Freitag
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