a_MAGIC SQUARE

in #math7 years ago (edited)

13.jpg

a_MAGIC SQUARE

Have you ever heard of magic squares?

A magic square is a square array of numbers consisting of the distinct positive integers,
arranged such that the sum of the n numbers in any horizontal, vertical, or main diagonal line is always the same number.

Magic squares have a long history, dating back to at least 650 BC in China. At various times they have acquired magical or mythical significance, and have appeared as symbols in works of art.

According to the legend, there was a huge flood once in China. King Yu was trying to channel the water back to the sea, and whilst figuring it out,
a turtle emerged from the water with a 3x3 pattern grid on its shell with circular dots filling it.
It was arranged in such a way that the sum of each row, column and diagonal was 15. After that, people were able to use this pattern to control the river and stop the floods.

3x3 pattern.jpg

source:mathworld.wolfram.com

There are several ways of solving the magic square, and for this basic one, the rule here is :up two, and right one. If the square is occupied, you need to go down two. The system crosses the borders; meaning if you go right outside the grid, you continue on the left side.

The one I particularly like is this 9x9 grid.
I don't know why.

Maybe because the sum of all dots is 666.

Maybe.




Check out the whole series:

1|30 a_LINE
2|30 a_PATTERN
3|30 a_RANDOM
4|30 a_CENTER
5|30 a_MAZE
6|30 a_HOLE
7|30 a_WAVE
8|30 a_COLOR
9|30 a_FRACTAL
10|30 a_SEQUENCE
11|30 a_SCHEME
12|30 a_FEEL


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© 2018 papasomniferum

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