how does a 4x4 magic square work Therefore the new magic square formed is Magic Square 4 4 For a magic square of order 4 we need to substitute n 4 to know the magic sum so that we can easily form the magic square 3 3 When n 4 the sum 4 4 2 1 4 16 1 2 4 17 2 34 Thus the magic square 3 3 sum 34 is given as
132 6 1K views 3 years ago The Basics of Magic Squares Introducing the 4x4 magic square after a closer look at the 3x3 The video concludes with a general formula for magic The 4x4 magic square must contain 16 different numbers A pure magic 4x4 square contains the numbers 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 and 16 The magic square is magic because the sum of the numbers of each row each column and both diagonals always give the same result
how does a 4x4 magic square work
how does a 4x4 magic square work
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Magic Square Worksheets
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4x4 Magic Square 4 By 4 Magic Square Magic Square Magic Square
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Magic squares were first mentioned in the Western world in the work of Theon of Smyrna They were also used by Arab astrologers in the 9th century to help work out horoscopes The work of the Greek mathematician Moschopoulos in 1300 A D help to spread knowledge about magic squares So here we are now more than 700 years later and 752 37K views 5 years ago Maths Puzzles Simple three step method to create maths magic square of any even size including 4x4 magic square 8x8 magic square 12x12 magic square etc All
This is a 4 x 4 Magic Square with Magic Total 34 table id 4 4 magic square Draw a 4 4 empty square Draw two diagonals Start counting all the squares from the top left towards right Now start writing numbers 1 to 16 count all squares and write numbers ONLY IN THE BLANK SQUARES 2 3 5 8 9 12 14 15 are to be written Turns out there is a pretty specific and simple pattern for finding an odd numbered magic square Start with 1 in the top middle box then place the next number up one box and to the right one box But you go off the grid you re thinking how does that work It works if you follow these three simple rules
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The rows columns and diagonals of a normal magic square sum to the same value The sum result is the magic constant M M and its value depends on the order n n of the magic square M frac n cdot n 2 1 2 M 2n n2 1 For n 3 n 3 we have M 15 M 15 for n 4 n 4 we have M 34 M 34 and so on H I It has a total of nine unknowns but only eight equations defining a magic square of this dimension The eight equations are A B C 15 D E F 15 G H I 15 A D G 15 B E H 15 C F I 15 A E I 15 and G E C 15 Eliminating seven of the unknowns we arrive at the matrix A B 15 A B 20 2 A B 5 2 A B 10 A B 5 10 B 10 A
Slide 1 University of Liverpool Maths Club November 2014 completing Magic Squares Peter Giblin pjgiblin liv ac uk First a 4x4 magic square to remind you what it is Every row column and the main diagonals add to the same total here it is 34 What other groups of numbers add to 34 69 5K subscribers 2 6K 313K views 3 years ago Magic Square Magic Square Maths puzzle Magic Square sudoku Magic Square 3x3 Magic Square 4x4 Magic Square 5x5
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how does a 4x4 magic square work - Turns out there is a pretty specific and simple pattern for finding an odd numbered magic square Start with 1 in the top middle box then place the next number up one box and to the right one box But you go off the grid you re thinking how does that work It works if you follow these three simple rules