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Algorithm for solving any magic square with an odd number of squares on each side. 1. Place the numbers from 1 to n^2 in order. 2. Place 1 in the top middle square. 3. If the square up one and one to the right is open, next number goes there. 4. If the square up one and one to the right is outside of the magic square, then wrap around to the opposite side. 5. If no square is available, next number is placed one square down.
Got the first one quite easily, exactly the way he did after I hit play again. Need to take longer with the second one. I am 81 and have lost the ability to keep track of multiple steps mentally. I start out well, but will suddenly forget where I was going with it. lol It is still fun to try.
...A failed attempt at the magic square gives you a PARKER SQUARE. 😂 Jokes aside, I can't wait to learn through your content. excited to study mathematics/ physics/ mathematics and computing subjects at university. [I'll be done with my entrance exams by 3rd week of June :) ] hope i get my desired university Fingers crossed 🤞
And so... We know how many possible combinations have 6x6 (and even bigger!) rubik's cubes, but we don't know how many combinations does it have a 6x6 magic square? We (humanity) know many things, but we still don't know and understand how many things in the universe!
Sir, I love the way you teach math in very simple and exciting way .....I have started to love and enjoy math .......which I feared a lot.......Thank you so much......lots of love.....😀😀
So, there is only one permutation to the 3x3, but as the size increases, is there a recognizable pattern in the growth of the number of allowable permutations? I mean, only up to 5x5 has been solved, but it seems like there should be a mathematical pattern, or is it because only a very tiny number have had their permutation possibilities calculated that there isn't a direct pattern distinctly seen yet?
Actually when I googled, I stumbled upon this: JULY 2023: "Prof. Hidetoshi Mino has counted the magic squares of order 6 to be 17,753,889,189,701,384,304 different 6x6 magic squares." That's pretty new.. but yeah, now we know. Also, the sum of all numbers in a 6x6 magic square is sigma 36 which is equal to 666, which is kinda cool lol.
Thank you, 3x 3 and 4x 4 are fairly easy. How about 5 x 5 and 6 x 6 . There is also other numbers than 1 to 9. Any consecutive 9 numbers (-5, - 4, -3 ...1, 2, 3, 4). The center number is the sum of the numbers divided by the number of cells
@@DrTrefor yep some of the numbers didn't quite add up to 34 and some of the numbers when inserted would require using a number already in the magic square. So I had to tinker with the numbers until it all the rows, columns and diagonals added to 34.
Here's what I got for 0:45~1:03 before watching the rest of the video. 3x3 8,3,4 1,5,9 6,7,2 4x4 7,13,12, 2 10, 4, 5,15 1,11,14, 8 16, 6, 3, 9 The video confirms that my 3x3 solution is correct, but what about my 4x4 solution?
@@DrTrefor I tried doing that, but I would sometimes lose track of which ones I checked and which ones I didn't. Additionally, I wasn't entirely sure that I had typed them into the calculator properly.
The opening is not explained. Why does a 3x3 magic square have to contain all the digits between 1 and 9 used once and only once? That seems to be what the video is saying but I thought it could contain any numbers.
Christ doesn’t matter other than as a historical figure that might be real that we kinda sorta use as an anchor for dates. He’s maybe just a dude that hoodwinked a bunch of fools to write stories.
@yumnuska Jesus Christ is the son of God/ God the son, the man who died a brutal death on the cross to give all of us something we don't deserve, which is a spot in heaven, the chance to become a child of God if you accept Him as your Lord and Saviour So please give Him some respect, and please consider maybe giving your life to Him😊
