Funny Fractions and Ford Circles - Numberphile

Ғылым және технология

Farey Sequences, Ford Circles and a strange addition sign...
Featuring Francis Bonahon from the University of Southern California.
More links & stuff in full description below ↓↓↓
Watch EPIC CIRCLES: • Epic Circles - Numberp...
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Пікірлер: 1 000

  • @shell_jump
    @shell_jump9 жыл бұрын

    I had no idea it was possible to write numbers with an accent. This man is my hero.

  • @veertsucks

    @veertsucks

    3 жыл бұрын

    First time watching this video, and yes, how he writes his 2's has made my life!!

  • @conanichigawa

    @conanichigawa

    3 жыл бұрын

    Such a French way of writing numbers.

  • @112048112048

    @112048112048

    3 жыл бұрын

    Average "One over Two" fan VS average "Ouonne over Toux" enjoyer

  • @lyleandres1510

    @lyleandres1510

    2 жыл бұрын

    instablaster

  • @jhoughjr1

    @jhoughjr1

    2 жыл бұрын

    I noticed his 2 had a curvey line but his q looked like a nine.

  • @ThePaull3d
    @ThePaull3d9 жыл бұрын

    Mathematician, Mustache, Accent, Clothes ... He nailed life.

  • @noahshomeforstrangeandeduc4431

    @noahshomeforstrangeandeduc4431

    6 жыл бұрын

    ThePaull3d true

  • @zofop2891

    @zofop2891

    4 жыл бұрын

    I forgot my clothes

  • @genericusername4206

    @genericusername4206

    3 жыл бұрын

    ThePaull3d why would you not wear clothes

  • @mrsamsun912

    @mrsamsun912

    3 жыл бұрын

    And life nailed him back

  • @asheep7797

    @asheep7797

    2 жыл бұрын

    @@zofop2891 you lost life and sanity

  • @EpicFishStudio
    @EpicFishStudio7 жыл бұрын

    let's talk about *fR̸̵͇̹͍̰̗̫̭̠͈̮̳̞̫̬͎̼͉͕ͫ̒̿̏ͤ̾͘͞actions*

  • @shadowbane7401

    @shadowbane7401

    5 жыл бұрын

    Dat Epic Fish ikr

  • @robsbackyardastrophotograp8885

    @robsbackyardastrophotograp8885

    5 жыл бұрын

    How do you even type an R like that?

  • @v6790

    @v6790

    5 жыл бұрын

    @@robsbackyardastrophotograp8885 he hacked his keyboard

  • @Maxence1402a

    @Maxence1402a

    5 жыл бұрын

    @@v6790 With a butcher's chopper.

  • @lyrimetacurl0

    @lyrimetacurl0

    5 жыл бұрын

    FR̸̵͇̹͍̰̗̫̭̠͈̮̳̞̫̬͎̼͉͕ͫ̒̿̏ͤ̾͘͞ench

  • @10mimu
    @10mimu9 жыл бұрын

    "I wanna talk 'bout frrrrractions".

  • @columbus8myhw

    @columbus8myhw

    8 жыл бұрын

    Istari Pallando f-gh-gh-gh-actions

  • @thatoneguy9582

    @thatoneguy9582

    6 жыл бұрын

    Human Effigy “You can add them up, or you can mooltiply them”

  • @gratux

    @gratux

    5 жыл бұрын

    @@thatoneguy9582 mülitplai

  • @TheWikiMax

    @TheWikiMax

    5 жыл бұрын

    he is like Mr Hollande :P

  • @AmonAmarthFan609

    @AmonAmarthFan609

    2 жыл бұрын

    "Fr🇫🇷r🇫🇷a🇫🇷ctions"

  • @totallymcmylastname9077
    @totallymcmylastname90778 жыл бұрын

    He is so French the rice on my table turned into a baguette, and so does the water into wine.

  • @hughstout

    @hughstout

    8 жыл бұрын

    And your rock music turned into romantic music

  • @sooosooo100

    @sooosooo100

    4 жыл бұрын

    Water into wine is the speciality of a certain middle eastern man..

  • @mrl9418

    @mrl9418

    4 жыл бұрын

    I didn't see that coming, and I only have myself to Blame!

  • @asheep7797

    @asheep7797

    2 жыл бұрын

    The hole in my wall goes to Britain.

  • @JustASnack
    @JustASnack9 жыл бұрын

    What I love the most about Numberphile is how enthusiastic all the mathematicians you bring up for show are!

  • @GuyWithAnAmazingHat
    @GuyWithAnAmazingHat9 жыл бұрын

    When I saw this gentleman on the thumbnail, I knew right away this is going to be an awesome video.

  • @gabrielkellar1935

    @gabrielkellar1935

    4 жыл бұрын

    To me he looked like an american dad

  • @Triantalex

    @Triantalex

    9 ай бұрын

    ??

  • @13gondolla37
    @13gondolla378 жыл бұрын

    I would listen to an hour long video of this guy just saying "fractions" over and over and over...

  • @NoriMori1992

    @NoriMori1992

    8 жыл бұрын

    "Fkhrakhchons"

  • @zorm_

    @zorm_

    8 жыл бұрын

    That's quite how we say it in french lol (except the "on" sound is different)

  • @pj4717

    @pj4717

    8 жыл бұрын

    ASMR

  • @geoff7936

    @geoff7936

    8 жыл бұрын

    Nailed it!

  • @zorm_

    @zorm_

    8 жыл бұрын

    frakcheunze

  • @antonino30
    @antonino309 жыл бұрын

    the "I cannot completely explain the details"@13:52 broke my heart... This video needs a second part! It got me on the edge of my seat the whole time! Numberphile Lives!

  • @TheJaredtheJaredlong
    @TheJaredtheJaredlong9 жыл бұрын

    "Where's this guy from, Switzerland or something?" Looks at description: Southern California. "Oh."

  • @lbzimmerman96

    @lbzimmerman96

    9 жыл бұрын

    TheJaredtheJaredlong Well he is from France originally, just now works in SoCal

  • @mikecsiy

    @mikecsiy

    9 жыл бұрын

    TheJaredtheJaredlong That's what all Southern Californians sound like. He haz zee clazzic valley aczent.

  • @pedrodemello3666

    @pedrodemello3666

    8 жыл бұрын

    Somehow I don't think he was born in California... just sayin'.

  • @zorm_

    @zorm_

    8 жыл бұрын

    he is french, he talks with a french accent and he was born in france... He's probably californian

  • @loganallomes4305

    @loganallomes4305

    6 жыл бұрын

    A quick google search shows that he was born on the 9th of September, 1955, in Tarbes, France

  • @tanukigalpa
    @tanukigalpa7 жыл бұрын

    this guy's accent gives me life, I could listen to him all day. If I had his accent I'd never stop talking. It's so energetic and mildly entertaining

  • @Triantalex

    @Triantalex

    9 ай бұрын

    ??

  • @aychar
    @aychar9 жыл бұрын

    Could this man be any more french?

  • @lifeproofminds

    @lifeproofminds

    9 жыл бұрын

    hr Haha Ikr? Even his first name is Francis.

  • @vianneymonnier7660

    @vianneymonnier7660

    9 жыл бұрын

    hr If we added a bottle of red wine and bread on the table, plus him complaining about the government and going on strike, yep, we should get something representative of French people. From France with love ;)

  • @TacoDoesYoutube

    @TacoDoesYoutube

    9 жыл бұрын

    hr I thought he was German :/

  • @luisadrian327

    @luisadrian327

    9 жыл бұрын

    TacoDoesKZread Me too and I'm german XD But the accent is french I guess... :)

  • @GuyMichaely

    @GuyMichaely

    9 жыл бұрын

    hr Yes. He's German.

  • @TakeWalker
    @TakeWalker9 жыл бұрын

    One of the most amazing Numberphiles of late!

  • @BarclaySmith

    @BarclaySmith

    9 жыл бұрын

    Take Walker Totally agree - I was watching with mouth agape for much of the video.

  • @kkira22

    @kkira22

    9 жыл бұрын

    Right?! Moustaches and accents are awesome but there's really nothing better than the peculiarities of this particular reality.

  • @7000000th

    @7000000th

    9 жыл бұрын

    Take Walker I'm sorry to say, it was painful for me to watch this video, even though the content had the usual amazingness. It's just that I can't take him sereously with his accent. I just notice every influence from French, because I'm french too.

  • @pabloricardodetarragon2649

    @pabloricardodetarragon2649

    9 жыл бұрын

    7000000th If you are stopped by a so trivial detail, never do studies. He is perfectly understandable, speaks slowly, and explains clearly. Besides he has a very nice pedigree in mathematics, probably far better you'll never have. Go in UK in some university I won't name and try to understand a mumbling Scottish guy writing undecipherable signs on the chalkboard about Navier Stokes equations. That's true pain, specially when you know that the exam is within 2 months.

  • @7000000th

    @7000000th

    9 жыл бұрын

    Pablo Ricardo de Tarragon if you're trying to vent your frurtration, go do it to someone else, because I not responsible for it. I was just trying to remark upon his accent, and how French it was, and as I said, I understood every word of it and enjoyed the content. Even, I felt a bit of pride that a fellow Frenchman should be on this channel, no matter what his accent is

  • @Box-of-hats
    @Box-of-hats9 жыл бұрын

    Glad to see some Welsh mathematicians on Numberphile!

  • @Box-of-hats

    @Box-of-hats

    9 жыл бұрын

    I'm joking :D

  • @john117950

    @john117950

    9 жыл бұрын

    Stuart Hull You can tell when a frenchguy is speaking english...

  • @edwardbottle1018

    @edwardbottle1018

    9 жыл бұрын

    Stuart Hull Poe's Law, amirite?

  • @pabloricardodetarragon2649

    @pabloricardodetarragon2649

    9 жыл бұрын

    Lucas Nakach You can tell also when a American guy is speaking French. Then best is when one southern guy is trying to speak French to a Canadian from Quebec with a heavy joual accent.

  • @yannchereau3630

    @yannchereau3630

    9 жыл бұрын

    ***** I am french and I bearky understand what he says. A funny thing is that in France, when people don't know how the pronounciation of a word or when they are not sure of it; they don't even try to because they don't want to be ridiculous but it is even worse !

  • @gammaknife167
    @gammaknife1679 жыл бұрын

    My brain just exploded. AMAZING VIDEO. WE NEED MORE OF THIS GUY TOO

  • @DJAbrahamLincoln1
    @DJAbrahamLincoln19 жыл бұрын

    This guy is by far my favorite Numberphile guest solely based on voice.

  • @VictorChavesVVBC
    @VictorChavesVVBC9 жыл бұрын

    The "Farey addition" (mediant) is very interesting. I once did a work about the Stern-Brocot tree (sometimes called Farey tree) and its applications to number theory. It has many interesting properties: it generates all rational numbers exaclty once (and you can estimate the maximum height it should appear), many simmetries and pn - mq = 1 relations useful for factoring numbers. Very interesting video to me, I've never seen the geometry on this. Geometry has this weird habit of making algebra look nicer.

  • @rosselur
    @rosselur9 жыл бұрын

    at around 1:10, i distinctly heard the word puttiply. awesome.

  • @raumaankidwai

    @raumaankidwai

    9 жыл бұрын

    rosselur More like 1:16

  • @raumaankidwai

    @raumaankidwai

    9 жыл бұрын

    raumaan kidwai "Wanta puttiplyt wit tree ovar seven, aye puttiply dem noombars ondas top, aye puttiply dem noombars ondas buttum, andaye putty it togeder"

  • @raumaankidwai

    @raumaankidwai

    9 жыл бұрын

    raumaan kidwai 1:20 and on... "KHOWEVER"

  • @carloshiguera9221

    @carloshiguera9221

    9 жыл бұрын

    raumaan kidwai I laughed more than I should have

  • @jeremylawrence6041

    @jeremylawrence6041

    9 жыл бұрын

    Carlos Higuera me too, i'm in tears

  • @123Joack
    @123Joack9 жыл бұрын

    4:04 "Pussyball" k

  • @NebulusVoid

    @NebulusVoid

    9 жыл бұрын

    Verlenzius possible m8 lol

  • @axelord4ever

    @axelord4ever

    9 жыл бұрын

    Blake T My mate is possibly laughing out loud? Are you a seer?

  • @NebulusVoid

    @NebulusVoid

    9 жыл бұрын

    ***** Yes. Yes I am lol

  • @VincentKun

    @VincentKun

    5 жыл бұрын

    404 stopped working

  • @TheSummoner

    @TheSummoner

    5 жыл бұрын

    Verlenzius damn you almost made me choke myself with food

  • @BlackBirdJacobo
    @BlackBirdJacobo8 жыл бұрын

    This is all french stereotypes in just one person.

  • @Jkirek_

    @Jkirek_

    8 жыл бұрын

    that's german, not french. please learn your stereotypical foreign english accents

  • @DerSim688

    @DerSim688

    8 жыл бұрын

    @Jasper Kole I hope you are not serious?

  • @BlackBirdJacobo

    @BlackBirdJacobo

    8 жыл бұрын

    +Jasper Kole I know but I assure you that guy's English is French af.

  • @DerSim688

    @DerSim688

    8 жыл бұрын

    +Jasper Kole +Jacobo Pinadado well, as a german who also speaks French let me tell you: obviously French Dialect ;) if you still dont believe me just google his name.

  • @RubALamp

    @RubALamp

    5 жыл бұрын

    Jasper Kole PLeASe LeARn YouR STeREoTyPicaL ForeIGn EnGLisH ACceNtS.

  • @jamirimaj6880
    @jamirimaj68803 жыл бұрын

    Even the greatest comedians and humorists can't be more French than this guy even if they try their hardest, all he needs to do is write "2" and it's all over.

  • @ZincAddict
    @ZincAddict9 жыл бұрын

    I just love listening to him say the word "Prime"

  • @BonDonJuan

    @BonDonJuan

    9 жыл бұрын

    Pggghhheim

  • @skroot7975
    @skroot79758 жыл бұрын

    Cool maths! His moustache is magnificent. Also, Putin ancestor at 9:26? :p

  • @matteochancerel9332

    @matteochancerel9332

    7 жыл бұрын

    I was exactly thinking the same thing xD

  • @johnchessant3012

    @johnchessant3012

    7 жыл бұрын

    Especially the one in the background! :D

  • @HawtDawg420

    @HawtDawg420

    2 жыл бұрын

    Right??

  • @edancoll3250
    @edancoll32509 жыл бұрын

    At 3:10, I was really hoping to see a ≡ sign. I f***ing love those.

  • @hyperghoul
    @hyperghoul7 жыл бұрын

    learning math with super mario

  • @Jhauty

    @Jhauty

    5 жыл бұрын

    I'm INSTANT LAUGHING OF YOUR COMMENT

  • @stefanschacht3322

    @stefanschacht3322

    5 жыл бұрын

    He looks a bit like Saddam Hussein...

  • @Ivan_1791

    @Ivan_1791

    5 жыл бұрын

    Hahaha. xD

  • @franekpiechota6514

    @franekpiechota6514

    5 жыл бұрын

    After video he is going to save queen pich

  • @almarkowbender

    @almarkowbender

    5 жыл бұрын

    Mario is Italian not French...

  • @jonahdavis7833
    @jonahdavis78338 жыл бұрын

    His 2's are written so fancy, they even look French

  • @zorm_

    @zorm_

    8 жыл бұрын

    he is french :p by the way he has a huuuuge french accent when he speaks english

  • @Ian-nl9yd

    @Ian-nl9yd

    8 жыл бұрын

    +Zorm we know

  • @zorm_

    @zorm_

    8 жыл бұрын

    pipi prout

  • @Triantalex

    @Triantalex

    9 ай бұрын

    false.

  • @ramata1962
    @ramata19624 жыл бұрын

    What a positive and happy professor. It helps get over the accent. His personality is very clear ie, he's clear.

  • @mythbusterman8541
    @mythbusterman85413 жыл бұрын

    One of the best guest appearances in numberphile history. What a legend.

  • @9cool10
    @9cool109 жыл бұрын

    i love this guys accent, cant quite put my finger on why. also i learned a thing today ^^

  • @basbas192

    @basbas192

    9 жыл бұрын

    9cool10 French Accent. Pretty much have the same.

  • @9cool10

    @9cool10

    9 жыл бұрын

    ahh yeah, now i can hear it XD its a really cool accent though.

  • @CastelDawn

    @CastelDawn

    9 жыл бұрын

    ***** yeah, it's weird to hear when you're french

  • @CastelDawn

    @CastelDawn

    9 жыл бұрын

    ***** really? well, that explains the clothes

  • @pedroheck3667
    @pedroheck36679 жыл бұрын

    I start laughing for no reason watching this, it's so incredible

  • @EcceJack
    @EcceJack9 жыл бұрын

    Wow... at the very beginning I was like "meh, just playing around with fractions", but by the end *mind = blown!!* :O

  • @johnchessant3012
    @johnchessant30127 жыл бұрын

    6:02 - 'Something to do on a rainy day. List all fractions p/q with 0 < p

  • @davidgillies620

    @davidgillies620

    7 жыл бұрын

    There's 16691 of them. Partitioning them into triplets yields 16689, all of which are Farey sequences. In Mathematica a simple-minded way to do it is: Select[Partition[ Union[Sort[ Select[Flatten[Table[p/q, {p, 0, 234}, {q, 1, 234}]], #

  • @flynnwilliford980
    @flynnwilliford9808 жыл бұрын

    This guy looks like Jeremy Clarkson's clean-cut Belgian cousin.

  • @bcubed72

    @bcubed72

    8 жыл бұрын

    He looks like Vicente Fox. Doesn't sound like him, though.

  • @lukeusperez8585
    @lukeusperez85857 жыл бұрын

    "I thought that we could talk about ghfrakkktions"

  • @andrewmole745
    @andrewmole745 Жыл бұрын

    This is one of my favourite Numberphile videos. He has such a joy in his subject and in explaining it, coupled with a great sense of humour.

  • @tg13fire
    @tg13fire7 жыл бұрын

    I have watched this video like 40 times. the way he writes down the numbers is so different from everybody else. 2 and 9 are the most unique out of any of them

  • @SmappleMcWingers
    @SmappleMcWingers9 жыл бұрын

    Is he using "my pinky told me" as the idiomatic equivalent of "a little bird told me?"

  • @CreepyHandedMan

    @CreepyHandedMan

    9 жыл бұрын

    Matthew Kelley Yep. In french, we say "mon petit doigt me dit". It's a bit old-fashioned though, but this guy nails it with his overall attitude and appearance, he's amazing.

  • @kentoutcourt

    @kentoutcourt

    4 жыл бұрын

    Might be old fashioned in some places (I guess you're in Europe) but it's still very popular in Quebec

  • @AmonAmarthFan609
    @AmonAmarthFan6097 жыл бұрын

    Am I the only one that thinks his (obviously French) accent sounds like it has some German influence?

  • @Dave-iz6lh

    @Dave-iz6lh

    5 жыл бұрын

    Maybe he lives in Strasbourg!

  • @antonanairamendoza7193

    @antonanairamendoza7193

    5 жыл бұрын

    He is Californian

  • @maximmillennia

    @maximmillennia

    5 жыл бұрын

    Now I cant unhear it

  • @gamingcat341

    @gamingcat341

    5 жыл бұрын

    Mar'kusi Rosenburg same

  • @nbrader

    @nbrader

    5 жыл бұрын

    My first thought was that he looked German and my second thought was that he sounded French. I think the way he looks probably influenced you.

  • @antoniedepotter3371
    @antoniedepotter33719 жыл бұрын

    Best video ever on Numberphile. Amazed by all the conclusions that were made. Just brilliant!

  • @cchimozmin
    @cchimozmin9 жыл бұрын

    My new favourite Numberfile video. Blown away. Classic Numberfile. I was so excited watching that. It's like magic. There must be something fundamental about patterns like that. What field of mathematics is that? Pure maths? Gonna do an OU course I think. Never too late.

  • @pecabokem4345
    @pecabokem43458 жыл бұрын

    I would love to know the deeper explanation for this.

  • @darkmage07070777
    @darkmage070707779 жыл бұрын

    This video would have been worth watching to learn about the circle-plus sign trick alone. The fact that the entire thing is full of interesting stuff puts it over the moon.

  • @IDthief1
    @IDthief19 жыл бұрын

    honestly this guys smile makes me so happy, like he looks genuinely happy throughout all of this.

  • @iagocasabiellgonzalez7807
    @iagocasabiellgonzalez78079 жыл бұрын

    Awesome! This might be my favorite Numberphile video to date! I've been drawing those kinds of circle patterns for years. Many thanks Brady! : )

  • @maklasik
    @maklasik9 жыл бұрын

    Braum, is that you?

  • @newgoredan303

    @newgoredan303

    9 жыл бұрын

    Ahahahahah

  • @123FireSnake

    @123FireSnake

    9 жыл бұрын

    maklas ho ha hahaha

  • @archmage1999

    @archmage1999

    9 жыл бұрын

    maklas There will be a new skin for Braum, his shield will be a blackboard =D

  • @MenwithHill

    @MenwithHill

    9 жыл бұрын

    Kil'Jaeden "Big Professor Braum", now available for 975 RP.

  • @ItsSansom

    @ItsSansom

    9 жыл бұрын

    maklas Braum is here!

  • @Adamas97
    @Adamas979 жыл бұрын

    This was amazing. I would have nothing thought about this but seeing it happen was mind blowing for some reason. Great video! (As always)

  • @kojuha1

    @kojuha1

    2 жыл бұрын

    Guys, please, I didn’t get the statement, Every triple of what is a farey sum? I’m serious

  • @guycomments
    @guycomments9 жыл бұрын

    One of the more interesting videos in a while for me. Hoping we get more videos with Francis.

  • @paulgillespie542
    @paulgillespie5425 ай бұрын

    He's so deliberate and clear in what is clearly not his mother tongue.

  • @BlooregardQKazoo-ff6wb
    @BlooregardQKazoo-ff6wb9 жыл бұрын

    Really liked this guy, you should have him on more.

  • @TheMaplestrip
    @TheMaplestrip9 жыл бұрын

    This guy is awesome - I hope we'll see Francis more often! :D

  • @eldizo_
    @eldizo_9 жыл бұрын

    The circles being tangent like that is just amazing. Hooray for funny fractions!

  • @RotundRager
    @RotundRager6 жыл бұрын

    This guy is super energetic about math. I'm glad he seems to genuinely enjoy it that much. I can't get that hype for math, but I can appreciate someone who does.

  • @coosoorlog
    @coosoorlog7 жыл бұрын

    I hope this guy also has a video about the mathematics of yodeling

  • @TheHomeless87
    @TheHomeless879 жыл бұрын

    Cauchy looks like Vladmir Putin

  • @igesio

    @igesio

    9 жыл бұрын

    My exact thought

  • @BugSunder

    @BugSunder

    9 жыл бұрын

    YESS i thought this

  • @FreeScience

    @FreeScience

    9 жыл бұрын

    TheHomeless87 Was about to say, but I had to search the page for "putin" first :P

  • @freddykrueger5503

    @freddykrueger5503

    9 жыл бұрын

    TheHomeless87 man I just posted that exact same message a minute ago.now I scroll down, see your comment and realise I was not the only one who thought so!

  • @daisshitpostclub1239

    @daisshitpostclub1239

    6 жыл бұрын

    TheHomeless87 more like stalin

  • @veggiet2009
    @veggiet20099 жыл бұрын

    when you got to 13:14. My eyes got wide. That's awesome!

  • @blazebluebass
    @blazebluebass8 жыл бұрын

    That was beautiful! It is so fantastic that there are all those weird connections in mathematics in fields that do not appear to have anything in common. It is even better if those can be displayed by some geometry - then it is just pleasure to watch.

  • @jacefairis1289
    @jacefairis12896 жыл бұрын

    'I thought that we could talk about frrractions.' Great way to start a video. c:

  • @123paddy09
    @123paddy099 жыл бұрын

    That French accent

  • @ibrahimaswade42
    @ibrahimaswade429 жыл бұрын

    My best numberphile so far !

  • @yungml
    @yungml9 жыл бұрын

    This was truly amazing, more of this great guy!

  • @alexpigeon692
    @alexpigeon6929 жыл бұрын

    More videos with Francis Bonahon, please

  • @Nuke_Gunray
    @Nuke_Gunray9 жыл бұрын

    This Ford Circle Packing... it's a fractal, isn't it?

  • @Yoreni

    @Yoreni

    5 жыл бұрын

    it looks like one

  • @Ruddigore
    @Ruddigore9 жыл бұрын

    What a fascinating video. And what a nice presenter, so enthusiastic. This episode is worthy (as are all numberphile videos) of a big thumbs up.

  • @jonasbindslev9894
    @jonasbindslev98949 жыл бұрын

    I think it is crucial that we have this amazing person explaining this, because otherwise it would probably be pretty boring, as well as being just silly. It needs a funny personality to talk about a funny fraction. P.S. I am absolutely in love with his handwriting

  • @uPenguin
    @uPenguin9 жыл бұрын

    Fractions is very niiice, high-5!

  • @TheRealFlenuan
    @TheRealFlenuan9 жыл бұрын

    J'adore son accent !

  • @svennyzooi
    @svennyzooi9 жыл бұрын

    One of my favorite video's so far! Very interesting!

  • @Bourbonismbeta
    @Bourbonismbeta9 жыл бұрын

    This man is amazing. We need more videos of this man.

  • @ben1996123
    @ben19961239 жыл бұрын

    cool. the circle thing is like the dirichlet function

  • @Deathranger999

    @Deathranger999

    9 жыл бұрын

    A serious comment from Ben? What is this?

  • @JonhamYT

    @JonhamYT

    9 жыл бұрын

    ey ben

  • @ben1996123

    @ben1996123

    9 жыл бұрын

    Kieran Kaempen this is maff ***** ello

  • @goingquentin

    @goingquentin

    9 жыл бұрын

    ben1996123 hi ben the slidy man

  • @monk_marius4338

    @monk_marius4338

    9 жыл бұрын

    The Dirichlet function is 1 when x is rational and zero is irrational which doesn't seem related to Farey addition.

  • @renaared
    @renaared9 жыл бұрын

    Sincèrement, on dirait une parodie de notre accent haha

  • @JoelLeBlanc
    @JoelLeBlanc9 жыл бұрын

    You had me at "FRACTIONS"! What a marvellous character!

  • @FireyDeath4
    @FireyDeath45 жыл бұрын

    It's just so satisfying when mathematics fit in together SO. WELL.

  • @Henrix1998
    @Henrix19988 жыл бұрын

    Still waiting for Toyota Circles

  • @GeorgeRPope

    @GeorgeRPope

    4 жыл бұрын

    Well we could be sure that they'd be more reliable.

  • @1DInciner

    @1DInciner

    4 жыл бұрын

    Audi one

  • @DaKnightsofawesome
    @DaKnightsofawesome9 жыл бұрын

    Dat moustache doe

  • @ViKtoReinKILL
    @ViKtoReinKILL8 жыл бұрын

    That was amazing and a great example of the wonder of mathematics. I'm fascinated to explore the proof.

  • @AzazeoAinamart
    @AzazeoAinamart9 жыл бұрын

    Well, this is amazing. Such connections in math always makes me think how beautiful our universe is

  • @nogahlerman6137
    @nogahlerman61379 жыл бұрын

    Who needs an ark??? I Noah guy!

  • @user-cn5pm7zg1u

    @user-cn5pm7zg1u

    5 жыл бұрын

    bad

  • @reedplaysgames
    @reedplaysgames4 жыл бұрын

    Ah yes, *myootiplication*

  • @julessmith2
    @julessmith29 жыл бұрын

    Wow what a fabulous video, both the host and the math involved! Some of the patterns in nature and mathematics are incredible.

  • @MrDrewbies
    @MrDrewbies9 жыл бұрын

    This blew my mind, I love stuff like this

  • @Slithy
    @Slithy9 жыл бұрын

    This guy's accent is dope as f. Where's he from?

  • @rhysappa

    @rhysappa

    9 жыл бұрын

    France.

  • @Slithy

    @Slithy

    9 жыл бұрын

    rhysappa Thanks.

  • @JonhamYT
    @JonhamYT9 жыл бұрын

    n-th comment

  • @ekinseyjr
    @ekinseyjr8 жыл бұрын

    Fun stuff! I could listen to this kind of thing all day.

  • @gruingas
    @gruingas9 жыл бұрын

    This guy has the most amazing accent ever and this is the most amazing thing about fractions I have even seen.

  • @icrin_
    @icrin_9 жыл бұрын

    I really want to know which programs were used to do these graphs and calculations.

  • @RamsesTheFourth

    @RamsesTheFourth

    9 жыл бұрын

    Icaro Vasconcelos I think he made them himself... its easiest way, I would use probably Python :)

  • @Blistio11

    @Blistio11

    9 жыл бұрын

    Icaro Vasconcelos probably something specificaly made for this. a pretty easy application to make, at that.

  • @janvarhol

    @janvarhol

    9 жыл бұрын

    Icaro Vasconcelos most of programming languages have graphical library. on top of that there is a lot of educational and academic SW. just google it if you are interested. when I was at school we used to do clickable fractal expansion of various sorts. this should be the same. it was a few lines of code, nothing special.

  • @icrin_

    @icrin_

    9 жыл бұрын

    thank you all

  • @JanM351531351

    @JanM351531351

    9 жыл бұрын

    Icaro Vasconcelos Possibly mathematica.

  • @bitchslapper12
    @bitchslapper129 жыл бұрын

    What are the chances of me meeting this man totally wasted, beyond his mathematical mind, on this year's Oktoberfest? (Answer in a fraction please).

  • @spheal4754

    @spheal4754

    9 жыл бұрын

    number ------------- number

  • @AnCoSt1

    @AnCoSt1

    9 жыл бұрын

    He not German...

  • @CubeBag

    @CubeBag

    9 жыл бұрын

    p/q

  • @LawffleCopter

    @LawffleCopter

    9 жыл бұрын

    CubeBag now puttiply number/number by p/q

  • @bitchslapper12

    @bitchslapper12

    9 жыл бұрын

    AnCoSt1 Sorry, I now believe he's French after further investigation of his accent.

  • @XTeaOrCrumpetsX
    @XTeaOrCrumpetsX8 жыл бұрын

    "Pages and pages and pages and pages." This guy is awesome haha!

  • @aidabit7554
    @aidabit75547 жыл бұрын

    Warm... fuzzy... feelings!! This must be a rare sighting of the time traveling Favorite Grandpa/Great Uncle Francis

  • @gfetco
    @gfetco9 жыл бұрын

    Eyy, Luigi funny fractions eyh?

  • @Cruuzie
    @Cruuzie9 жыл бұрын

    This was so cool! Enjoyed that professor, hope you have more from him coming :)

  • @dgtlrn
    @dgtlrn9 жыл бұрын

    I think everyone has a new favourite mathematician on KZread!

  • @wishall007
    @wishall0079 жыл бұрын

    videos like these make life seem so beautiful..........also, love the guy's accent!!

  • @Prasen1729
    @Prasen17293 жыл бұрын

    Amazing ! Mathematics is so beautiful. Pure !

  • @jonathanhorvat2452
    @jonathanhorvat24523 жыл бұрын

    I thought I discovered these once. It was fun uncovering all of the fun properties.

  • @1DInciner
    @1DInciner4 жыл бұрын

    What a fantastic video and provement! It really makes things different

  • @m00ds444
    @m00ds4449 жыл бұрын

    great video! keep 'em coming! just wanted to say, i could listen to this guy talk all day haha

  • @redleader8
    @redleader89 жыл бұрын

    That was absolutely amazing!

  • @JPO1618
    @JPO16189 жыл бұрын

    This might be the most mind-blowing Numberphile video I have ever watched

  • @illaimforthemoon
    @illaimforthemoon9 жыл бұрын

    I love how Francis writes 2. So beautiful.

  • @ShermerHighSchool
    @ShermerHighSchool9 жыл бұрын

    More on Farey additions and Ford Circles please :) This is fantastic! Thank you!

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