Watch the full Amazing Graphs Trilogy (plus an extra bit): kzread.info/head/PLt5AfwLFPxWLkoPqhxvuA8183hh1rBnG

@lejka23456

4 жыл бұрын

nice

@ChristopherRucinski

4 жыл бұрын

For the 1st graph, what happens with the slope=1 line just before x=100 and just after x=200? Why do they partially repeat the line?

@lejka23456

4 жыл бұрын

@@ChristopherRucinski it is a mystery sherlock holmes is on the case

@Marci124

4 жыл бұрын

The link is broken for me.

@indiapopularchannel7451

4 жыл бұрын

Lottery guessing you tell me

Brady: That's amazing, who found that!? Neil: I did Brady: Alright

@janlhab2329

3 жыл бұрын

It says on the OEIS page that a guy named Max Barrentine is the author of this parallelogram sequence.. !. Why does Sloane claim he found it in this video then ?.

@dabluse3497

2 жыл бұрын

@@janlhab2329 he asked for who graphed it

@yuvalne

Жыл бұрын

+

@Triantalex

7 ай бұрын

??.

The tooth term... ...🦷 Solid comedy

@mattgsm

4 жыл бұрын

Solid tooth

@Tondadrd

4 жыл бұрын

Using iOS? All I can see is a square, no emonticon...

@isaaccisa

4 жыл бұрын

@Death is our worst Enemy 2th -> twoth -> tooth (a mispronunciation of 2nd)

@mbrusyda9437

4 жыл бұрын

@Death is our worst Enemy a spare second.. you're doing this on purpose, aren't you

@christophecarpentier9797

4 жыл бұрын

@@Tondadrd works on a browser, not on the android youtube app

I love that "Fly straight dammit!" sequence.. out of complete chaos, suddenly order emerges.. amazing indeed!

@OlafDoschke

4 жыл бұрын

Yes, that's not the only instance of deterministic chaos, also see Feigenbaum constant.

@jacksparrow440

4 жыл бұрын

have a look at langton's ant, you'll like it

@paaaaaaaaq

4 жыл бұрын

Turn it into chaos again and it is perfect.

@danielroder830

4 жыл бұрын

I wouldn't say complete chaos, there seems to be order in it, but not so obvious in the graphic representation. At the beginning of the chaotic part you can see parts of the lines that will later emerge. And it looks a bit wavelike there too. In a higher dimensional representation we would maybe see even more order, just a complete guess though.

@filipsperl

4 жыл бұрын

Is there a way to calculate where the first even term = 1?

In today's episode of Numberphile, Number Grandpa reads us his graph-based Avatar slash fiction.

@F20SW

4 жыл бұрын

@@spikekiller4303 graf, graaf, grarf are the three pronunciations I've heard. I'm from the south west of England so I use the middle one, which is not dissimilar to the American way but the A is more dragged out.

@xenontesla122

4 жыл бұрын

@@spikekiller4303 11:48

@penand_paper6661

4 жыл бұрын

@@F20SW I pronounce it /græf/, using IPA notation when writing that

@aquawoelfly

4 жыл бұрын

Number grandpa is klien bottle guy.

@mickeyrube6623

4 жыл бұрын

Spike Killer Grav

Can we grant Neil immortality please? It seems like the man would love nothing less than to meticulously find beautiful graphs for eternity and share them with the world.

@alexpotts6520

4 жыл бұрын

Neil already has immortality, in a sense. The OEIS will be around long after he is gone.

@KINGKROSBYSKINGDOM

4 жыл бұрын

What is OIES ?

@JBergmansson

4 жыл бұрын

@@KINGKROSBYSKINGDOM The Online Encyclopedia of Integer Sequences

@hexagonist23

Жыл бұрын

@@alexpotts6520 He's 83, he will probably die in the next 10-15 years.

@Triantalex

7 ай бұрын

false.

"Who found that?" "I did" That's fair

@andymcl92

4 жыл бұрын

I think the more important question is "Why did someone work out that sequence in the first place?"

@umbragon2814

4 жыл бұрын

@@andymcl92 because mathematicians are insane

@anarcho.pacifist

4 жыл бұрын

insanely curious

@calebvr3526

3 жыл бұрын

Dc T

@Triantalex

7 ай бұрын

??.

This man did the impossible. He remembered a character from Avatar.

@pedroscoponi4905

4 жыл бұрын

It's easy to remember the banshees, though. They're probably the best thing that came out of that movie...

@RealClassixX

4 жыл бұрын

@@pedroscoponi4905 The what?

@ma7cus89

4 жыл бұрын

He didn't even remember the character right, he said Scully not Sully, it remains impossible to remember those characters

@Sylocat

4 жыл бұрын

@@ma7cus89 How did you remember the actual name then? 🤔

@jblen

4 жыл бұрын

@@Sylocat a magical thing called Google probably

it's incredible that this guy remembered anything from avatar

@satyampandey2222

4 жыл бұрын

Its an incredible movie so no shocker

@KatzRool

4 жыл бұрын

@@satyampandey2222 not a single person I know remembers anything about it, and the vast majority including me have never seen it

@TheAlps36

4 жыл бұрын

He did call the main character "Scully" though

@wasdwasdedsf

4 жыл бұрын

@@satyampandey2222 qua

@eliavrad2845

4 жыл бұрын

His job is about long sequences of numbers- he must have an amazing memory

0:25 "The tooth term" - it's brilliant

@Adam-cn5ib

4 жыл бұрын

i don't get it

@DrShwazz

4 жыл бұрын

He said 2th (tooth) instead of 2nd (second) lol

@Czeckie

4 жыл бұрын

i really liked "oneth"

@LemoUtan

4 жыл бұрын

A Scotsman would note that he bridged the 4th term

@orsonzedd

4 жыл бұрын

Tshirt when

I love watching these videos, because the people in them love what they are doing.

@Luminous.A.Glory_VitaNostra

4 жыл бұрын

M Oz SAME

@mysticalpie4695

4 жыл бұрын

Yeah and it's like a journey to be the ultimate genius

I love how all the OS books form his computer standing desk.

@rudiwinkelstein2483

4 жыл бұрын

I guess there was no stackoverflow when he first learned about computers

@hexagonist23

Жыл бұрын

@@rudiwinkelstein2483 They should print all of stackoverflow into a bunch of books

7:53 "So next graph, we look at the primes" * sneaky Amazon Prime box on the background *

@VivaanTheCraft3r

3 жыл бұрын

Oh yeah cool

That's so cool! I was playing around with this, and found another interesting one based on the "fly straight, dammit" graph. If you change the rule for the case there is no GCD to "a(n)=a(n-1)+2*n+2", you get an almost regular graph that keeps rising to over 4 million, up until n=2090. At this point, it so happens GCD is equal to n, and the next value suddenly drops back to 2089, only to start rising again. I thought that was interesting anyway :).

If James Cameron doesn't use this for marketing for the Avatar sequels, he doesn't know what's good for him.

@SlightSmile

10 ай бұрын

They didn't 😥

Everybody: great movie Grandpa: fly straight dammit sequence

@AXEUROLder

4 жыл бұрын

Great movie? You mean Avatar?

@General12th

3 жыл бұрын

@@AXEUROLder Judging by this comment section, apparently Avatar was a mediocre movie that deserves to be left in the dustbin of bad culture history. Watch something else instead. I think they're wrong. But my opinion doesn't matter.

That 'Fly straight, dammit!' graph is incredible.

He called the step graph very pedestrian and I chuckled 😂

@charadremur333

4 жыл бұрын

I get it now.

If you look at the graph at 7:24 and follow those lines back, you can see them trying to form a bit before 100 and a bit after 200. This is like the classic chaos generator, jumping all over the place and then suddenly sobering up…except this one never falls off the wagon ;-)

@elevown

4 жыл бұрын

Only on zero and slope 1 tho for some reason not slope 2. wonder why?

@ianmoore5502

4 жыл бұрын

Are you speaking of the bifurcation diagram or is there another chaos generator i shouls know about?

@mrpokemon1186

4 жыл бұрын

Phil Boswell it went to rehab

@catchara1496

4 жыл бұрын

elevown because in order for it to form slope two consistently enough to be visible slope one has to be an order of magnitude more constant that doesn’t happen until then

2th T-Shirt from this video: teespring.com/2th-t-shirt-numberphile

More Neil Sloane videos: bit.ly/Sloane_Numberphile

@bowlchamps37

4 жыл бұрын

Wow, the is a tooth video.

@Xnoob545

4 жыл бұрын

Why does it redirect me to online youtube not the app (im on a phone obviously

@loganstrong5426

4 жыл бұрын

@@Xnoob545 it's because it's a shortened link, not a direct KZread link. If it's a direct to KZread link, that's when the phone knows to redirect to the app.

@teabagfc

4 жыл бұрын

Yes, please make more!

@koenth2359

4 жыл бұрын

@Sannesthesia yup, he's the OEIS guy.

11:21 savage He does not frick around with less interesting sequences

@kjpg7413

4 жыл бұрын

I'm just happy to see sequences that aren't base-10 specific!

@renemunkthalund3581

4 жыл бұрын

@@kjpg7413 Surely most sequences aren't…? (base-10 specific, we just choose to write them out in base-10).

@Reliquancy

4 жыл бұрын

@@kjpg7413 the prime one was base 2 specific though

@kjpg7413

4 жыл бұрын

@@Reliquancy you are correct.

@redpepper74

3 жыл бұрын

K JPG base-10 specific sequences by themselves are pretty disappointing, but implementing them into different bases and comparing the sequences can be pretty interesting.

I remember how amazed I was at the graph of Dirichlet function, which is 1 for rational argument and 0 for irrational argument. The graph looks like 2 straight lines y=0 and y=1, but in reality those "lines" are full of "holes" and the function is discontinuous at every point of real line.

I now have a Python function called 'dammit' because I wanted to try this for myself...

@ayushrathore9190

4 жыл бұрын

Can you please send me the code, I am waiting for it

@lonestarr1490

4 жыл бұрын

@@ayushrathore9190 Just implement the if-condition as given in the video and let it plot the result. That's far from hard, pal.

@duncanbates5361

4 жыл бұрын

@PIYUSH YADAVPython is a popular programming language.

I'm not quite sure what I've imagined Mr. Sloane of Integer Sequence fame to be like, but I probably didn't think he would be talking about the Avatar movie wearing a Barcelona shirt.

@Rosie6857

2 жыл бұрын

Given recent financial developments he'd be advised to stop calling it a Barcelona shirt and say what it really is, a Crystal Palace shirt.

This guy: "Parabolas... Boring! Boring!" Archimedes: "ExsCUSE me?!"

@zyaicob

3 жыл бұрын

Matt Parker is livid

0:46 Parabola: And I took that personally...

1:56 *I wish I could have seen his facial expression when he said, “Fly Straight, Dammit!”* That was the best sequence name ever!

I've seen Neil Sloane plotting sequences with a Barcellona shirt My life is complete

@calebsousa2754

4 жыл бұрын

*Barcelona bud

Been watching Numberphile since I was little and I absolutely love it. The fact that you've already got nearly 50,000 views within the first couple hours of posting is just marvelous. Keep up the good work Brady!!!!!! ILY

Neil Sloane has to be my favourite. So chilled and passionate.

@ker0356

2 жыл бұрын

I never thought that I would be so interested in number sequences

The OEIS is amazingly useful. It helped me to find a formula for several sequences I could not find one for!

The parallelograms are made by plotting X against (X minus the value made when X's digits are reversed in some base). Primes have nothing to do with it, and the result will still hold if you use a different base to base 2.

@anothermoth

4 жыл бұрын

The one thing limiting it to primes does is exclude even numbers after 2. If you graph with all numbers, you find the odd numbers form parallelograms as shown, and the even numbers form another set of equal sized parallelograms above the odd ones, filling in the space to the y=x line.

@MrDannyDetail

4 жыл бұрын

I was thinking the same thing, and looking for a comment like this. If it had've been a special property of primes then it would have in effect been a fairly simple primality test, which seemed unlikely to me.

@cynoclast

3 жыл бұрын

Does it work in a number base that isn't divisible by 2? I bet it doesn't.

Moar graphs, brady! I can't wait! Thanks for the awesome vids

This guy is the David Attenborough of mathematics. Something about how he explains graphs is so... Soothing.

1:36 "Remember that movie, called Avatar?" No, it's been scientifically proven that no-one remembers that movie, except for it being that movie with the blue people.

@llamallama1509

4 жыл бұрын

The Smurfs?

@bearsfan519

4 жыл бұрын

Ehh if you can remember Pocahontas you've got it covered.

@francescosirotti8178

4 жыл бұрын

@@bearsfan519 Pocahontas with cannons, to be precise

@falconerd343

4 жыл бұрын

Can't even find a clip of the scene he referenced. Definitely disappeared into the ether.

@connorhamilton5707

4 жыл бұрын

It is Fern Gully, but big and science fiction instead of small and fantasy.

The Brady/Numberphile sequence: 11, 255, 16, 8128, 6174, 69!, 220, 284, 15, 153, 31, etc.

This was great. How people come up with such sequences is beyond me, I admire that a lot.

I love Neil. His appreciation of mathematics is so heartwarming.

I love Neil! And I’ve been a big fan of the OEIS for a long time, what a great site.

He knows a character's name from Avatar Get this man to Jacksfilms

@Jiggerjaw

4 жыл бұрын

Pretty sure it's Sully, not Scully - clearly more of an X-Files fan than an Avatar fan.

@NocturnalCoder

4 жыл бұрын

that thought crossed my mind too, lol

@Jiggerjaw

4 жыл бұрын

Oh, he got it right later in the video. REDEMPTION

@MegaPhester

4 жыл бұрын

Twitter for Online Encyclopedia of Integer Sequences

@meghanto

4 жыл бұрын

Never thought I'd see a big forehead clan member

Your graphical work has gotten to be really impressive :O

This was incredibly entertaining to watch. Love these "magical" graphs or plots! I will never forget about the "Everything Formula"! Can't wait to see the next vid!

I would love few things more than to have an audiobook narrated by Neil Sloane.

Amazing!

For the second sequence, is it important that the entries be prime? Or would you get the same pattern by doing the reverse-and-subtract operation on all the positive integers?

This guy is the best. Every time a new of his videos comes up makes my day

Neil's love and passion for numbers is so contagious

There is nothing LESS about this video.. It's well worth a LOOK 👍.

Brad, please make a video about the most interesting IOES sequences!

I love Neil Sloane on Numberphile. Glad we're seeing a lot of him!

Both of these were excellent, thank you for making the video!

Remember that movie, that second top grossing film of all time?

@iliketurtles4463

4 жыл бұрын

Pepperidge farms remembers... Harambe

@KingofJ95

4 жыл бұрын

It should be noted that, adjusting for inflation, Avatar is still number 1.

@grainfrizz

4 жыл бұрын

With inflation, it's gonna be Gone With The Wind

@PeterJavi

4 жыл бұрын

There were blue people in it. That's all I remember

@xevira

4 жыл бұрын

@@PeterJavi the Smurfs?

LOOK AT THIS GRAAAAAAAPH!!!

@pandaraigner

4 жыл бұрын

Damnit wasn't expecting this

"parabola, you did it in high school. boring, boring boring" - this is one of my favourite numberphile quotes

I love the videos with Neil! They're really interesting!

10:25 Who found it?! Prof cool as anyone could be: I did. Thänks for the gräphs. Love seeing these vids!

@aaronthomaswebster

4 жыл бұрын

This sequence looks a lot better with just all odd integers. Instead of just looking at primes.

"Look at this graaaaph" 😐👉📈 😐 😐

@charadremur333

4 жыл бұрын

Precisely

@bxb77777

4 жыл бұрын

Whenever I look at it make me laugh

@sebastiansimon7557

3 жыл бұрын

Comments you can hear.

This man derives great joy from graphing number sequences and he spreads his joy when he talks about them. It is infectious. There's a life lesson here...

I've just laughed out loud when the parallelograms came up......wondrous stuff. Thanks so much.

Ive never liked math.... hated it in school, never used it for my jobs either... but only recently (im 32 now) im starting to get into it because of vids like this! wish i would have been into it as a kid, i feel like i have missed out so much greatness! :(

@aryanpatel2924

4 жыл бұрын

raafmaat - I don't blame you. Even as a student who loves math in schools, I can't deny that a lot of school math is pretty tame compared to what is out there. I wish they would bring some attention to these crazy quirks that just blow our minds when we see them

@jacksonpercy8044

4 жыл бұрын

I used to enjoy maths, but when I started learning lots of more complex stuff without learning its applications, I lost interest. That said, I still love watching numberphile videos as much as I used to.

"Who found that ?" "I did" Lol

I really like this guy's enthusiasm and passion for his work.

This was truly amazing! Please post more videos like that! Also, loved the tooth joke lol 🦷

These OEIS videos make me want to find my own sets/sequences

_Fly Straight Dammit!_ Best sequence name.

i love neil's speaking voice. would love to hear him narrate audiobooks

Love these videos with Neil Sloane

I love Neil Sloane, He's such a mathematical baller

Looks like a weird blue Gandhi. Nice video as always!

@randomdude9135

4 жыл бұрын

Mahatma Gandhi ji- the father of our nation(India). 😊

This makes me nurdgasm!! More graphs, please!

I like how it looks so intimidating at first but then it makes sense in the end and I feel like a smartass afterwards.

If my maths teacher would do lessons in asmr I'd actually listen

@SpencerTwiddy

4 жыл бұрын

Cool. I recommend listening anyway though👍🏼

@aquawoelfly

4 жыл бұрын

Id quit school

The tower of books topped by a laptop made me more uncomfortable than it should have

I love these videos. Such amazing information in such a short period of time.

I love this guy, he's such a nerd and love talking about this stuff.

4:20 Fly straight dammit sequence is XD. around horizontally number 420 there are 3 smiles made from dots perpendicularly around 420 900 and 1300. Insane coincidence. Im high

@jmcusack

4 жыл бұрын

:)

@mrpokemon1186

4 жыл бұрын

You on the 420?

7:55 that moment when he says "we look at the primes" and there's an amazon prime logo right by his head.

You’re brilliant. Very gifted. Thankyou.

Maths periodic videos! I love this channel.

The fly straight dammit sequence really fascinated me, I started plugging in different values for d(0) and d(1) and I found that at some point it will always find it's balance and "fly straight" , anyone know why?

☼ 4:43 id put money on this being better than the 5 Avatar sequels currently in the works.

Excellent video, can't wait for part 2

The prime inversion graph is as beautiful as it looks. Made my first c program to find the x and y values of graph upto any number of terms. Thanks for sharing.

Finally we have someone who actually remembers Avatar and can actually quote it!

Just another great Numberphile video to kick off my Thursday!

Love Dr Sloane's soothing voice, the graphs, the formulas, the animations, and Dr Sloane's poetic descriptions "... says to the demon 'fly straight dammit' and from that point on ... the banshee is tumbling, the music calms down and they fly smoothly". Majestic !

the art is really sweet and those graphs are truly amazing!

Those parallelograms at 10:20 - what's their ratio to the previous/next one in the progression?

@sebastianzaczek

4 жыл бұрын

According to what he says after showing the parallelograms the Ratio should be 1:2 (1:4 for the Areas)

10:50 Brady, come on.

Brilliant video. We should give it a best video of the year award.

Neil Sloane is my favourite of your guests simply because he seems to extract so much joy from his work; and as a result so do I! It only breaks my heart that he's referred to as British-American when I'd love to claim him as an Irish -man!

Your thumbnail for this video is very creepy :-)

+1 for the Barça shirt +100 for not being the NEW Barça shirt

@XavierFabregat

4 жыл бұрын

Exactament, molt ben dit

@Jack-en3pr

4 жыл бұрын

Away kit is 😍

I could listen to this guy talk about numbers for the rest of my life and never get tired of it.

I admire how this old man is still obviously passionate about math, nice to know that not all passions die with time, I guess being a mathematician is perfect for him

Ladies and gentlemen, at this time we ask that you all please rise and direct your attention to Numberphile anthem. Amazing Grpahs! how sweet the sound...

1:35 I really don’t want to reme-oh, you mean the one with the blue people. Carry on.

This guy's voice is so nice to listen to, hearing him recount what happens in Avatar was captivating. And the graphs in this video blew my mind.

love the illustrations.