Euler Squares - Numberphile

Also known as Graeco-Latin Squares. Featuring Dr James Grime.
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NUMBERPHILE

Video by Brady Haran and Pete McPartlan

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[massimookissed]

Moral of story:
_Even when Euler's wrong, he _*_still_*_ gets things named after him._

(That's gotta make Matt Parker feel better.)

[K-o-R]

10:52 No-one brute-forces a problem like Gaston!

[jesusthroughmary]

4:00 "We don't actually need to match up the diagonals."
4:30 *diagonals match up anyway*

The Anti-Parker Square

[skorp]

In fact so special that Euler got involved xD

We should award puzzles with the 'Euler tried' award

[GrandMoffTarkinsTeaDispenser]

Title: Euler
Thumbnail: James Grime
Me: visible excitement

[drewnardolillo]

James Grime: Oiler Spoilers
Me, an intellectual: Euler Speulers

[ajharris]

This was one of the best Numberphiles in a while for me! James really knows how to give information succinctly and interestingly. Bravo, chaps!

[rahulujjal]

The youngest of the ‘Euler’s Spoilers’ is no more. He was 103. Indian mathematical genius, Sharadchandra Shankar Shrikhande, who along with his mentor late RC Bose and their colleague late ET Parker disproved way back in 1959 an 18th century mathematical conjecture, passed away at Vijaywada on April 21, bringing curtains to a glorious chapter from the world of statistics and mathematics.

[methethpropbut]

3:33 I realise not only the rows columns and diagonals, but the four 2×2 sub-squares also have one of each rank and suit!

[mattiacapuano]

The ping pong letters and numbers are adorable

[psyboyo]

14:02 "Never arrange a ping-pong tournament with six team members" -- I first understood "with sixteen members", I went crazy! WTF?!? And then I turn on the subtitles.

[marshmelows]

That brown paper on Graham's number signed by the very own Ron Graham is just amazing! 0:25

[itwasinthispositionerinoag]

5:45 I'm mostly here for the twerking 4

[tombomb_com]

It would have been nice to talk about the link between this and magic squares: say instead of AKQJ and 1234 we used two sets of 0123, and made them into the same arrangement, we could then read off each number as a two-digit number in base 4, then those would be a valid magic square (excluding diagonals) or we could add 1 to every number and it would still work. For a 3x3 example (since I know that one well), [21, 00, 12;02, 11, 20;10, 22, 02] (excuse the formatting) becomes [7, 0, 5;2, 4, 6;3, 8, 1] or [8, 1, 6;3, 5, 7;4, 9, 2] which is a magic square. This logic works for all sizes too.

[sean]

Squares in order of importance
1. Parker Square
2. Euler Square
3. The Square

[mczuqtu]

When he described the puzzle, I paused it, got some paper and a pen, and figured it out. And I solved it, hooray! It really is like doing double sudoku, lol. Cheers for the interesting video and fun little puzzle, Numberphile :)

[rensvanampting]

I love how team member "4" is animated at 5:46

[cerwe]

James talks about something from Euler, can there be something better? <3

[jessicawang]

After so many years I still get a smile when I see James Grime

[balinttoth]

"it's so difficult Euler got involved"