Magic Square Math 3x3

Calculate the magic constant.

Magic square math 3x3. For a 3x3 magic square there is actually only one normal solution and all of the puzzles are derived from rotations or reflections of that puzzle. This should make solving the early puzzle worksheets pretty easy. The magic constant is the value that you get for each row column or diagonal sum in a magic square. It dates back to chinese mythology you can read the story here.

M n n2 1 2 m n n 2 1 2 for a size 3x3 the minimum constant is 15 for 4x4 it is 34 for 5x5 it is 65 6x6 it is 111 then 175 260. The magic constant n n 2 1 2. For a normal magic square a curious property is the magic constant for a normal magic square of a given order is always the same. A x b where a and b are constants and x is value in a square.

Prove there are no other possibilities. If all 9 numbers form a single arithmetic progression then the magic square can be derived from the basic 816 357 492 square by a linear transformation. The normal variations of these puzzles the 3x3 puzzles that contain only 1 9 will have a magic constant of 15. A traditional magic square has three rows of three and when you put the numbers given in the right place all directions vertically horizontally and even diagonally in the square add up to.

In one sense this is true in another it is not. The magic constant for a order 3 normal magic square a 3x3 magic square will always be 15. The 3x3 magic square is the earliest known magic square. I ve posted a solution in a video.

This video will show you how to make a 3x3 magic square using the basic up one right one method. A magic square is a 3 3 grid where every row column and diagonal sum to the same number. You can find this number by using a simple math formula where n the number of rows or columns in your magic square. How many magic squares are there using each the numbers 1 to 9 exactly once.

People normally say there is only one 3x3 magic square.