Matt Parker shows off his Magic Square party trick (unlike magicians, mathematicians often reveal their secrets).
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Well, I use my personal method called par position that combines position of a number assigned to a letter, which I call 1432
A 1 2 3 4
B 5 6 7 8
C 9 10 11 12
D 24 25 26 27
Using my position algorithm I get
1 8 11 25
26 10 5 4
6 3 27 9
12 24 2 7
One thing I find interesting is that when he shows the magic square in the graphic, the 4 square that is one row above the center and the one below the center add up to the number (I'll say 42) but the 4 square that is one column left of the center and one right of the center does not. Would be interesting to see if it is possible to make it so that those would add to 42 as well.
You can also make random magic squares of order 4 by using Latin squares.
There are exactly (up to swapping rows and columns, and changing the symbols) 3 Latin squares of order 4:
1 2 3 4 1 2 3 4 1 2 3 4
2 1 4 3 3 4 1 2 4 3 2 1
3 4 1 2 4 3 2 1 2 1 4 3
4 3 2 1 2 1 4 3 3 4 1 2
Just pick your favourite two, replace the symbols by random integers, add the two squares together (that is cell by cell, like matrices), and you will get a magic square.
The magic sum of the square will be the sum of the eight integers you used.
But wait...the first square has 11, 8, 10, and 5. Those add up to 44, not 42. Same with 21, 2, 24, 3 (makes 50, not 42). You add every other column, row, diagonal, and 2x2 square but those two. Why the fail there?
If you want to make the numbers appear less "suspicious", then you can add or subtract multiples of 4 from the number you are given, construct its square, and then add/subtract 1 to each entry for each multiple of 4 you subtracted/added respectively. For example with 58, you could have done the square for 42 again, but with 4 added to each entry, or the square for 34 with a 6 added to each entry.
Having a good relationship with others.
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To dream that you are having trouble putting on your seatbelt indicates that you are worried about what is ahead in your future.
To see seaweed in your dream suggests that you need to rely on your intuition and trust your instincts.
To dream that you or someone has a secret represents hidden power. It suggests that something is emerging from your subconscious.
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To dream that someone is your Secret Santa signifies the spirit of giving. It is about doing something good without having any expectations in return.
To see or dream that you are a secretary indicates that you need to more order and organization in your life. Dont be afraid to ask for help when you need it.