How you all enjoyed! Don't forget you can check out Brilliant for free for 30 days at brilliant.org/TreforBazett or get 20% off an annual premium subscription:)

@frombook198

10 ай бұрын

Watch my videos about real magic squares.

Constraint Programming is one of those topics I wish was higher in my learning priority queue.

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.

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.....😀😀

Really interesting!!! Thank you so much!

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!

@DrTrefor

Жыл бұрын

My understanding is the limitations here are mostly computational with the limits of modern computers

9:28 thanks man now i can write all 8 magic square by just memorizing one

...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 🤞

@DrTrefor

Жыл бұрын

:D That's awesome though, you are going to be amazing at uni!

@wyboo2019

Жыл бұрын

the thing is, the term Parker Square has actually already been used in a mathematical research paper, making it a canonical term

@geraldsnodd

Жыл бұрын

@@wyboo2019 cool ... I wasn't aware of this

Love the t-shirt ,it reminds of a homer simpson quote "remember your hippopotamus oath"

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.

That shirt is awesome!!!

Niceee professor 😃😄

@DrTrefor

Жыл бұрын

Thank you!

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?

@DrTrefor

Жыл бұрын

Exactly!

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

I already knew about Magic squares; CTC did a buzzle of more than 4 in a single puzzle.

does it have to do with -1/12= 1/2

Well, this will make sudoku infinitely easier.

@DrTrefor

Жыл бұрын

Ha it does help a bit in the ideas but not really for solving it tbh

Professor How about if the question is everything should have the same total but using multiplication?

For the 4 * 4 magic square, it took me a while to figure out what the numbers were because I used the ad hoc method.

@DrTrefor

Жыл бұрын

Ya for sure, a lot of the 4x4 puzzles you gotta play around and try different ideas to see the one that works.

@StaticBlaster

Жыл бұрын

@@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.

@wudgee

6 ай бұрын

That seemed very complicated for how to do the puzzle, not sure I gained the solution in a way I was expecting.

odd numbers always have to be in the center, and even numbers always end in the corners...

First comment proffesor. 💓 It is also the ancient tradition of India. Which was also developed by Srinivasa Ramanujan

@DrTrefor

Жыл бұрын

Nice one!

Im proud that I proved you can only have 8 solutions for the 3×3, on my own.

@souloflight256

2 ай бұрын

سبقك الاستاذ انور 😅

the cent .5/ 5 = 1/2 = half why is the center number five equal .5 half or 5 or use 4 times as is used with other edge digits.. to =15

why does it come up 15, if decimals 1.5 = 1+ 1/2

Do you watch Cracking the Cryptic?

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

Жыл бұрын

Your 4x4 is good! And you can confirm it by double checking the rows/columns/diagonal all do add up right.

@BurstFlare

Жыл бұрын

@@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.

101 Dalmatians. lol.

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.

@DrTrefor

Ай бұрын

I’m asserting this as the definition of the puzzle we are analyzing

aaaaaaaa I need to know if my solution to the other grid is right or I'm just blind and can't see my mistakes as always

God is The Ultimate Mathematician, and God does not play dice with The Universe.

()K, Eye Cee, solves mANy A di-lemma. Lemniscate, a plane to C

I thought magic squares could have any numbers in them, not just 1...n.

@DrTrefor

Жыл бұрын

There are lots of variants, so the specific theorem I did for this video needs everything from 1 to n, but there are many closely related one

Damn bro I'm early

@DrTrefor

Жыл бұрын

Ha nice!

Before Christ*

@yumnuska

3 ай бұрын

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.

@Jesusislordd

Ай бұрын

​@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😊