Funny Fractions and Ford Circles - Numberphile

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Farey Sequences, Ford Circles and a strange addition sign...
Featuring Francis Bonahon from the University of Southern California.
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Опубликовано:

27 сен 2024

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Комментарии : 1 тыс.

@shell_jump 9 лет назад

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

@veertsucks 3 года назад

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

@conanichigawa 3 года назад

Such a French way of writing numbers.

@112048112048 3 года назад

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

@lyleandres1510 3 года назад

instablaster

@jhoughjr1 2 года назад

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

@EpicFishStudio 7 лет назад

let's talk about *fR̸̵͇̹͍̰̗̫̭̠͈̮̳̞̫̬͎̼͉͕ͫ̒̿̏ͤ̾͘͞actions*

@shadowbane7401 5 лет назад

Dat Epic Fish ikr

@robsbackyardastrophotograp8885 5 лет назад

How do you even type an R like that?

@v6790 5 лет назад

@@robsbackyardastrophotograp8885 he hacked his keyboard

@Maxence1402a 5 лет назад

@@v6790 With a butcher's chopper.

@lyrimetacurl0 5 лет назад

FR̸̵͇̹͍̰̗̫̭̠͈̮̳̞̫̬͎̼͉͕ͫ̒̿̏ͤ̾͘͞ench

@ThePaull3d 9 лет назад

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

@noahshomeforstrangeandeduc4431 6 лет назад

ThePaull3d true

@zofop2891 4 года назад

I forgot my clothes

@genericusername4206 4 года назад

ThePaull3d why would you not wear clothes

@mrsamsun912 3 года назад

And life nailed him back

@asheep7797 2 года назад

@@zofop2891 you lost life and sanity

@JustASnack 9 лет назад

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

@10mimu 9 лет назад

"I wanna talk 'bout frrrrractions".

@columbus8myhw 9 лет назад

Istari Pallando f-gh-gh-gh-actions

@thatoneguy9582 6 лет назад

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

@gratux 5 лет назад

@@thatoneguy9582 mülitplai

@TheWikiMax 5 лет назад

he is like Mr Hollande :P

@AmonAmarthFan609 3 года назад

"Fr🇫🇷r🇫🇷a🇫🇷ctions"

@totallymcmylastname9077 9 лет назад

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

@hughstout 8 лет назад

And your rock music turned into romantic music

@sooosooo100 5 лет назад

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

@mrl9418 4 года назад

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

@asheep7797 2 года назад

The hole in my wall goes to Britain.

@TakeWalker 9 лет назад

One of the most amazing Numberphiles of late!

@BarclaySmith 9 лет назад

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

@kkira22 9 лет назад

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

@7000000th 9 лет назад

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 9 лет назад

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 9 лет назад

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

@aychar 9 лет назад

Could this man be any more french?

@lifeproofminds 9 лет назад

hr Haha Ikr? Even his first name is Francis.

@vianneymonnier7660 9 лет назад

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 9 лет назад

hr I thought he was German :/

@luisadrian327 9 лет назад

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

@GuyMichaely 9 лет назад

hr Yes. He's German.

@13gondolla37 8 лет назад

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

@NoriMori1992 8 лет назад

"Fkhrakhchons"

@zorm_ 8 лет назад

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

@pj4717 8 лет назад

ASMR

@geoff7936 8 лет назад

Nailed it!

@zorm_ 8 лет назад

frakcheunze

@antonino30 9 лет назад

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!

@tanukigalpa 8 лет назад

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 Год назад

@Box-of-hats 9 лет назад

Glad to see some Welsh mathematicians on Numberphile!

@Box-of-hats 9 лет назад

I'm joking :D

@john117950 9 лет назад

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

@edwardbottle1018 9 лет назад

Stuart Hull Poe's Law, amirite?

@pabloricardodetarragon2649 9 лет назад

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 9 лет назад

***** 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 !

@rosselur 9 лет назад

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

@carloshiguera9221 9 лет назад

raumaan kidwai I laughed more than I should have

@jeremylawrence6041 9 лет назад

Carlos Higuera me too, i'm in tears

@dannywilliams54 8 лет назад

+raumaan kidwai that is the hardest that ive laughed in a while

@prasanttwo281 8 лет назад

+rosselur with the captions on, it says 'be deployed'

@NoriMori1992 8 лет назад

+raumaan kidwai The way you wrote that makes him sound like The Swedish Chef.

@DJAbrahamLincoln1 9 лет назад

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

@VictorChavesVVBC 9 лет назад

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.

@123Joack 9 лет назад

4:04 "Pussyball" k

@NebulusVoid 9 лет назад

Verlenzius possible m8 lol

@axelord4ever 9 лет назад

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

@NebulusVoid 9 лет назад

***** Yes. Yes I am lol

@VincentKun 5 лет назад

404 stopped working

@TheSummoner 5 лет назад

Verlenzius damn you almost made me choke myself with food

@BlackBirdJacobo 8 лет назад

This is all french stereotypes in just one person.

@Jkirek_ 8 лет назад

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

@DerSim688 8 лет назад

@Jasper Kole I hope you are not serious?

@BlackBirdJacobo 8 лет назад

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

@DerSim688 8 лет назад

+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 6 лет назад

Jasper Kole PLeASe LeARn YouR STeREoTyPicaL ForeIGn EnGLisH ACceNtS.

@ZincAddict 9 лет назад

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

@BonDonJuan 9 лет назад

Pggghhheim

@jamirimaj6880 4 года назад

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.

@9cool10 9 лет назад

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

@basbas192 9 лет назад

9cool10 French Accent. Pretty much have the same.

@9cool10 9 лет назад

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

@CastelDawn 9 лет назад

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

@CastelDawn 9 лет назад

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

@AmonAmarthFan609 7 лет назад

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

@Dave-iz6lh 6 лет назад

Maybe he lives in Strasbourg!

@antonanairamendoza7193 6 лет назад

He is Californian

@maximmillennia 5 лет назад

Now I cant unhear it

@gamingcat341 5 лет назад

Mar'kusi Rosenburg same

@nbrader 5 лет назад

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.

@SmappleMcWingers 9 лет назад

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

@CreepyHandedMan 9 лет назад

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 4 года назад

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

@hyperghoul 8 лет назад

learning math with super mario

@jhauty 5 лет назад

I'm INSTANT LAUGHING OF YOUR COMMENT

@stefanschacht3322 5 лет назад

He looks a bit like Saddam Hussein...

@Ivan_1791 5 лет назад

Hahaha. xD

@franekpiechota6514 5 лет назад

After video he is going to save queen pich

@almarkowbender 5 лет назад

Mario is Italian not French...

@flynnwilliford980 8 лет назад

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

@bcubed72 8 лет назад

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

@jonahdavis7833 8 лет назад

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

@zorm_ 8 лет назад

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

@Ian-nl9yd 8 лет назад

+Zorm we know

@zorm_ 8 лет назад

pipi prout

@Triantalex Год назад

false.

@EcceJack 9 лет назад

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

@mythbusterman8541 3 года назад

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

@pedroheck3667 9 лет назад

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

@paulgillespie542 9 месяцев назад

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

@lukeusperez8585 7 лет назад

"I thought that we could talk about ghfrakkktions"

@pecabokem4345 8 лет назад

I would love to know the deeper explanation for this.

@andrewmole745 Год назад

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.

@edancoll3250 9 лет назад

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

@RotundRager 6 лет назад

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.

@BlooregardQKazoo-ff6wb 9 лет назад

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

@WandRindustries 9 лет назад

The neatest handwriting of any individual you've ever had on this channel. He's definitely breaking the stereotype of mathematicians with poor script.

@Adamas97 9 лет назад

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 2 года назад

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

@cchimozmin 9 лет назад

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.

@coosoorlog 7 лет назад

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

@veggiet2009 9 лет назад

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

@TheHomeless87 9 лет назад

Cauchy looks like Vladmir Putin

@igesio 9 лет назад

My exact thought

@BugSunder 9 лет назад

YESS i thought this

@FreeScience 9 лет назад

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

@freddykrueger5503 9 лет назад

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 6 лет назад

TheHomeless87 more like stalin

@IDthief1 9 лет назад

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

@TheMaplestrip 9 лет назад

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

@aidabit7554 7 лет назад

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

@jacefairis1289 7 лет назад

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

@Doctormario4600 2 года назад

This guy is AWESOME.

@AKhoja 4 года назад

The way he says "prime" makes my day!

@Nuke_Gunray 9 лет назад

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

@Yoreni 6 лет назад

it looks like one

@dgtlrn 9 лет назад

I think everyone has a new favourite mathematician on RU-vid!

@FireyDeath4 5 лет назад

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

@alexpigeon692 9 лет назад

More videos with Francis Bonahon, please

@berkeleycreager3601 4 года назад

No one's talking about how beautiful this man's penmanship is

@reedplaysgames 4 года назад

Ah yes, *myootiplication*

@treespunk 6 лет назад

As I see it this is the most authentic French accent of English ever spoken by a human being

@Henrix1998 8 лет назад

Still waiting for Toyota Circles

@GeorgeRPope 4 года назад

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

@1DInciner 4 года назад

Audi one

@Prasen1729 3 года назад

Amazing ! Mathematics is so beautiful. Pure !

@renaared 9 лет назад

Sincèrement, on dirait une parodie de notre accent haha

@venkateshsubramanian3578 9 лет назад

I want MOAARRRRR videos featuring this person!!

@nogahlerman6137 9 лет назад

Who needs an ark??? I Noah guy!

@ΧρῆστοςΚωστελίδης-γ3φ 5 лет назад

bad

@Cold_Ham_on_Rye 9 лет назад

I was like, oohh this will just be a boring basic fraction thing... but no it turned out to be the insane fractions are magical and beautiful thing. We need more of this guy.

@DaKnightsofawesome 9 лет назад

Dat moustache doe

@Ounaide 9 лет назад

Finally a french mathematician on Numberphile ♥

@JackSassyPants 9 лет назад

His handwriting is absolutely immaculate, especially the way he writes the numeral 2.

@antoniedepotter3371 9 лет назад

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

@gametalk3149 3 года назад

I like this man's voice

@eldizo_ 9 лет назад

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

@Keyywiii 9 лет назад

Holy shit this guy is the best. I could listen to him tell me math things all day.

@Juxtaroberto 9 лет назад

Wow! Dr. Bonahon teaches at my university! Definitely have to take a class with him now, he's Numberphile famous!

@sirswift23 9 лет назад

I watched this because of epic circles! When I saw the ford packing pattern I clicked straight away.

@JonhamYT 9 лет назад

n-th comment

@tom7 9 лет назад

This guy is so amazingly charming! And I learned a cool new thing!

@icrin_ 9 лет назад

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

@RamsesTheFourth 9 лет назад

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

@Blistio11 9 лет назад

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

@janvarhol 9 лет назад

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_ 9 лет назад

thank you all

@JanM351531351 9 лет назад

Icaro Vasconcelos Possibly mathematica.

@elidrissii 9 лет назад

His hand writing is perfect.

@gfetco 9 лет назад

Eyy, Luigi funny fractions eyh?

@MrLuisAlfred 9 лет назад

FRRRRactions

@gruingas 9 лет назад

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

@filipsperl 9 лет назад

I've just watched the Epic Circles video for the third time and now this comes out :D

@joshuaravitch4348 5 лет назад

Farey addition is actually really useful for calculating your grade in a class. Say for instance your teacher/professor has 80% of you grade as tests, and 20% as homework. Your final grade will be = 80%*(1st test score, Farey-add 2nd test score... Farey-add last test score) +20%*(1st homework score Farey-add 2nd homework score... Farey-add last homework score)

@gfx2006 9 лет назад

I can't stop listening to this repeatedly :) 5:41 "bages and bages and bages and bages..." Love his accent and his looks. He's just like a cartoon character comes to life!! Seems like a super nice guy to hang out with too!

@mattmun12 9 лет назад

He is so excited about maths and it makes me excited about maths.

@juanvilla5613 4 года назад

I’m blown away by this and everyone is talking about his accent

@B3Band 7 лет назад

Great. Now my 6th graders are gonna think this is how you add fractions...again! Thanks for setting these little brats back another 6 weeks!

@blazebluebass 9 лет назад

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.

@user-nx8tk1pp5o 9 лет назад

"Does your dog bite?" - Inspector Clouseau -

@Bourbonismbeta 9 лет назад

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

@DJTyrrell 9 лет назад

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

@illaimforthemoon 9 лет назад

I love how Francis writes 2. So beautiful.

@wishall007 9 лет назад

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

@Wand2Fishes 9 лет назад

More of this guy please!

@1DInciner 4 года назад

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

@carlosraventosprieto2065 Год назад

Amazing!

@eyflfla 9 лет назад

That was cool. For a while I thought you were running out material but this video feels like classic numberphile. yay.

@eivilcow33 9 лет назад

This man.... Mustache of a god, deep manly voice with a super thick french accent, and suspenders.... Holy shit he is awesome!

@f1f1s 8 лет назад

Our Intertemporal Optimisation professor used to pronounce “factorise” as [fʌk to rʌiz]. And Euler became... [ɜːɛ]. 11/10 would take a master programme in Paris again.

@jonathanhorvat2452 3 года назад

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

@Ruddigore 9 лет назад

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.

@santerisatama5409 Год назад

"Farey addition" is perhaps better known by the more descriptive term "concatenating mediant". The remarkable property is that the magnitude of the concatenated mediant is always strictly between the parent fractions.

@sophieward7225 9 лет назад

His handwriting is so nice!

@NoriMori1992 8 лет назад

I thought Cédric Villani was really French-sounding, but this guy's easily got him beat. I think if you put them together in a room you'd have the greatest possible concentration of Frenchness in the universe.