SpeeDim so do we!

There's just something about him, isn't there...

Andrew Cunningham perhaps its his little professor

maybe it's just because he's British and I'm not, but he seems like he'd make a great doctor who

Yes he conveys so much enthusiam

too late?

Too soon

haha xD

lolololololololololololol

GD MeowCat gd

AlanKey86 yep, do you have 1 sheep? I’ll give you two wood.

Awkward for any guy to hear.... Odd glances everywhere

*rolls seven*

But I have all the ore....

I have wood for sheep

me too

Yeah,not to mention the rigorous proof that it is indeed magical

He didn't mention that an n=0 hexagon also works

@@yusuf-5531 diagonals in n=0 hexagon aren't well defined so it is way too hard of a proof for this video

??

What does it look like. You can only see... Gray? Ha?! No? :(

wolfiksk123 It he means that the red and blue ones look too similar

steinardarri Not exactly, it depends on what type of colorblindness he has, I myself am colorblind and found it difficult to distinguish the blue and the pink. Colorblindness is where you find it difficult to distinguish between certain colors

+Bungis Albondigas shame

Sometimes I really wish there was a facepalm emoji. Just, so, so much.

that was a parker square. You still get a cookie :3

Chris O'Neil there are some small extras from this video coming to Numberphile2 - but not that solution I'm afraid.

Numberphile Is the solution really that tedious?

EebstertheGreat Its just solving five variables system, nothing big...

João Melo There's a lot more to it than that, though. That just tells you the sum of each color.

yes, that's my point, if haven't understood I was being sarcastic. A five equation system takes too much time for a video

YES THIS!

THE poorly designed Settlers of Catan board.

WeirdChamp

@@TriantalexmonkaW

Well; the regular pentagon has a prime number of sides (5); and its diagonals bisect each other in the golden ratio, which is very much related to the Fibonacci numbers; and the Fibonacci numbers seem to me to contain relatively more primes, than any old random sequence; which, I guess, makes sense, given that the golden ratio is kind of like the most irrational number there is; so, if I expected primes to show up anywhere, it’s definitely in the Fibonacci sequence 🤔.

i cant even understand what he's saying "if you want to edit and cut to xxxxxx" ?

BattousaiHBr thats the point

??

@@Triantalex A hexagon has six sides. But it's gone. So it's a hexa-gone.

+Neel Modi please explain 0.0

+Auro Cords I believe what they meant is that if you had a magic hexagon (or a square, works there too) with any number to the power of numbers in the magic square (or a hexagon) and you multiplied them within rows, you'd get the same number! Observe: For the usual 3x3 magic square, with rows of (6,7,2) (1,5,9) (8,3,4), if instead you had numbers like (2^6, 2^7, 2^2) (2^1, 2^5, 2^9) (2^8, 2^3, 2^4), which equals (64, 128, 4) (2, 32, 512) (256, 8, 16) and multiplied them (rows, columns, diagonals), they'd give you the same number! (2^15 or 32 768). The reason this works is because of the way exponentiation works - if you multiply numbers, such as a^b and a^c, the result is a^(b+c), you get the sum of the powers! (Observe: 2^2*2^3 = 4*8 = 32 = 2^5.) This works for any base number (i.e. you can have 3^x, 10^x is especially nice because you only add 0s, e^x... it's up to you!). Hope that helps and answers your question!

Amazing! I had forgotten about that property, I guess the original comment should have said "Exponentiation *to* each number in the hexagon..." I didn't quite get the last part of what you said: " (i.e. you can have 3^x, 10^x is especially nice because you only add 0s, e^x... it's up to you!)." Thank you =]

+Auro Cords You're welcome! What I meant by that part is that it doesn't need to be powers of 2 like I showed you, but it can also be powers of 3, powers of 10 (especially nice because then you're only adding 0s to the numbers, i.e. you get (100,1000000000,10000) (10000000,100000,1000) (1000000,10,100000000) I think), it can be powers of e - that is totally up to you! The sum of exponents during multiplication applies to any number. :)

Ah yes, that's what I understood but wasn't sure. This is why I love maths, gotta get some practice tho to keep the brain slick. tx again!

You mean a Parker hexagon?

My favourite part. XD

#HardcoreMaths

awsomm

Lol

Same

Me too.

+The Pip Man, I love that game.

Sorry, let me correct that. (I am on mobile so I can't edit it.) A 3x3 magic square where you can only use numbers 1-9 and the answer needs to be 15.

Another correction! You can only use each number once.

Illuminati confirmed.

***** if it was an equilateral triangle, it would be all of them! (I loved that one video)

+Daggawaggaboof It looks like it _is_ an equilateral triangle!

What an awesome birth mark

3 zeros in the time stamp. 3 side in a triangle. Illuminati confirmed.

120 of them all got rejected at the end in the favour of the correct one 😂

Ven Weera It has to have all unique numbers

3:12

+Ace Diamond theres nothing miraculous about it, its just a coincidence, things would be different if the numbers used is base 6 not base 10

Well yeah, that's kinda what I meant, not a literal miracle, lol.

But, besides the point, this concept is base-independent.

Thanks for the explanation. I couldn't figure out what was going on at 2:34

Magic number 76 works as well as other multiples of 38 . The array of numbers for M 76 are consecutive even numbers! These magic hexagon 1-19 numbers x3 =114 should work but they r not consecutive numbers.. and for 70, I tried but it’s not working for all rows..

@@yatra6110 Add 16 to the center instead of 8, that's mb