Saturday, August 31, 2019

Most Perfect Math Magic 16x16 turn into 8x8 (4) & 4x4 (16) Magic Squares


Today I'm going to show a unique and amusing figuration of Magic Square and something you have never seen before. It is called a math magic square when the rows, columns, and diagonals all have the same sum. The magic square I made are the most perfect. In the video, you will see 7 configurations of the 16 x 16 magic square. Three of the magic square are sequenced in a beautiful manner with the use of graphics. The special thing about the magic square is the sequence of numbers has not been changed at all.
 In the first picture there is a 16 x 16 magic square, in which numbers are sequenced from 1 to 256. Not a single number repeat in the magic square, and the sum of the rows, columns and diagonal is 2056.


In the second picture, the same magic square is seen in 4 parts with the use of different colors. These are 8 x 8 magic squares, and the sum of the rows, columns, and diagonal is 1028.


In the third picture, the 16 x 16 magic square can be seen in 16 parts. These are 4 x 4 math magic squares, the sum of the rows, columns, and diagonal is 514. I can say with conviction that in the history of Math calculation there hasn’t been a magic square more perfect or complete than this A magic square, in which there are magic squares of 8 x 8 and 4 x 4.


 In the fourth picture, the 16 x 16 magic square is grouped into 64 magic squares of 2 x 2, all of which have a total of 514. In the 64  4 x 4 groups, every group has 2 x 2 cross numbers that equal 249 and 265. 

In the fifth picture, there are 32 groups of 8 numbers in 4 different colors. In the pink color, there are 8 groups of 8 numbers, in the blue color there are 8 groups of 8 numbers, in the green color there are 8 groups of 8 numbers, and lastly, in the off-white color there are 8 groups of 8 numbers. All the 32 groups have a total of 1028. If we look at the groups in the combined form then the pink and green group consists of 16 numbers that total 2056, and blue and off-white group consists of 16 numbers that total 2056.

In the same picture, there are patterns on the left and right side of the magic square. The pattern on the right side consists of 16 numbers, the pattern is shown in two colors for the viewers understanding. In the first pattern, the sum of the top four numbers is 514, and also the sum of the bottom 4 numbers is 514. There is a middle pattern on the right-hand side, according to this pattern the numbers in the four corners all equal 514. And the four numbers in the middle also equal to 514. And a total of 8 numbers in this group equals 1028.

You can also see a blue and pink colored pattern of numbers on the left side, also in this pattern, the total of 8 numbers is 1028. On the left side in the top pattern we can see that the 4 top numbers equal 514, and the 4 bottom numbers equal 514. The 2 numbers on the top and the two numbers on the bottom of the pattern total 514, while the two numbers on the right and the two numbers on the left side of the pattern total 514. 




In the sixth picture, the 16 x 16 magic square consists of 4 numbers in 4 groups colored in blue, each group’s total are 514, and the total of the 4 groups is 2056. There are 4 groups of 8 numbers colored in yellow, the total of each group is 1028. When each group’s sum is added up with the group in the opposite direction the total is 2056.


 The pink and green patterns in the picture can be identified by the pink pattern on the right side of the picture. On all four sides of the pattern the sum of 4 numbers are 514 and the sum of sixteen numbers in the pink and green pattern is 2056. Black patterns of 16 numbers can be seen in 4 circles, the sum of the 16 numbers in each circle is 2056. The patterns in off-white colors have 5 groups of 16 numbers, and the sum of each group of 16 numbers are 2056.



In the seventh picture, there are different colored groups of 4, 8, and 16 numbers, and each group in respect to their numbers has the same total as the other group. There are many patterns in these Magic Squares that haven’t been discovered and can leave the human mind wondering.




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