The Loh-Hi's Magic Square

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The first or earliest magic square known was created by the Chinese in 2800 B.C. Fuh-Hi, a mathematical genius described the "Loh-Shu", or “the scroll of the river Lo”, as a 3 by 3 square. The “Loh-Shu” is the first recorded magic square, but it is also quite possible that people before Fuh-Hi could have been using a game board as such. They could have been playing on the sand or with a pile of stones. Later over time, people made more magic squares that had larger increments of squares. Most Chinese mathematicians knew magic squares by 650 B.C. 1 dot alone is the number one and 2 dots attached together shows the number 2. The Lo Shu square has a myth that refers to the great Emperor Yu and the Lo river. It says that once…show more content…
They made 3 by 3 and 4 by 4 magic squares. They call their 3 by 3 magic square The Ganesh Yantra while their 4 by 4 magic square is called the Chautisa Yantra which is located in a temple. This magic square includes the numbers 1 to 16 each row, column, and diagonal evaluating into 16. A common magic square in India is the Kubera - Kolam 3 by 3 magic square. This is different from the original magic square because each number is added by 19 to make each one in the 20s. It is in the same order like the Lo Shu and is painted on many floors in…show more content…
Since the magic square is a square, all sides are equal or there are the same number of rows and columns. The number of rows or columns is call the order which you can represent as the variable n. The number of small squares or the number of numbers in the magic square would equal n squared. N squared also means n multiplied by itself once showing how the rows and columns are multiplied to find the amount of numbers used in the square. A normal magic square would have the numbers 1 to n squared. Mathematicians figured out the magic sums by using a formula including variables that can be used to find every magic constant in every magic square. The magic number would equal [n(n2 + 1)] / 2. N still equals the order. If I tried to figure out the magic constant for the order 4 magic square, I would do (4(42 + 1)/2 = (4(16+1)/2 = (4(17))/2 = 68/2 = 34. The formula worked exactly as it was supposed to and the magic constant is 34. The goal of the game in Magic Squares is to fill the square with the numbers 1 to n2, using each number only once. You have to arrange the numbers so all the rows, columns, and diagonals equal the same called the magic constant. After you have got these two rules down and you filled the squares with the right numbers so all rows, columns, and diagonals equal the magic constant, then you should have succeeded

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