Magical magic square

Rotate and reflect this magic square and it is still a magic square!

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Mind Your Decisions: Five Book Compilation
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[moppermop]

I think I see how this works. All of the columns, rows, diagonals, and squares have numbers with exactly 1, 6, 8, and 9 in the 1s and the 10s places. So all of them just add up to 1 + 6 + 8 + 9 + 10 + 60 + 80 + 90. This doesn't change when the square is flipped or rotated because the 1s and 10s places just swap, so they still all have a 1, 6, 8, and 9 in both places. Plus, when the board is rotated the 6s and 9s just all switch positions with each other and the 1s and 8s stay the same, so all of the squares, rows, columns, and diagonals still all have a 1, 6, 8, and 9 in both the 1s and the 10s places.

I hope that made sense.

[frimnpi]

this man single handedly makes youtube shorts good, i've never stopped eating chocolate.

[nripdave]

It's Srinivasa Ramanujan magic square

Legendary Indian mathematician 🇮🇳🕉️🚩

[marwynnsworld]

I can do that too! Just put 1 in every square!

[newchannelverygood]

Just thinking how much effort has gone into discovering this! Hats off to the original creator (is he Srinivasa Ramanujan?)🎉

[AnonimityAssured]

I thought I'd found a set that would work well on a seven-segment display, but it had a glitch. I'll keep working on it.

Oh, I see that my goal was misdirected. The video contains a statement that is not true. Not to worry, here's my set, for which most, but not all, 2-by-2 grids have the same sum:

52 11 85 28 85 28 11 52
88 25 51 12 51 12 25 88
21 82 18 55 22 81 58 15
15 58 22 81 18 55 82 21

12 28 55 81 18 22 85 51
51 85 18 22 55 81 28 12
88 52 21 15 21 15 52 88
25 11 82 58 82 58 11 25

[sparshsharma]

Magic square for a reason. Learnt about them in 2015 with these properties. Now wherever I swe Magic square, it reminds me of those good old days.

[RB_Universe_TV]

It's very amazing
Mathematics is just like the magic of numbers with a deep knowledge in it
Keep going on with your videos!

[asiburger]

I don't know about the flip and the turn. Of course you would keep those properties. That part didn't really blow me away. Haha

[edit.hive_]

I think it's 🙏 Srinivas Ramanujan Magic square ❤

[stiffdawg]

Also the corners as well as the first and last rows' middle two and the first and last columns middle two.

[yurenchu]

There's an error: you claim that each "2-by-2 grid" also has the same sum of 264, but that's not true. The corner 2-by-2 quadrants and the center 2-by-2 square do have the sum of 264 (and the four corner cells also add to 264), but the other 2-by-2 squares (namely the "edge-adjacent middle" 2-by-2 squares) don't.

[ckg_b]

There was also one found by Antoni Gaudí (I think) where all the numbers add to 33 in different ways.

[aroundandround]

Not every single 2x2 grid has the sum 264, eg any of the four 2x2 grids other than the center grid that do not involve the four corner cells.

[assafglass]

Zero can do all of this and the sum stays the same

[mkarthik]

It was invented by a great indian mathematician

[irshadahmedbijapur]

If you add corner numbers, which are 96+68+81+19 the sum is also 264

[RishavSingla-wbfe]

Not every two by two square has same sum observe square 88, 69, 61, 86 and 91, 16, 18, 99

[charlessantos]

Taking Sudoku to another level...

Actually, the maximum level...

[Safi_]

most magical thing I have ever seen in my life 😅