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.
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Пікірлер: 1 000
I had no idea it was possible to write numbers with an accent. This man is my hero.
@veertsucks
3 жыл бұрын
First time watching this video, and yes, how he writes his 2's has made my life!!
@conanichigawa
3 жыл бұрын
Such a French way of writing numbers.
@112048112048
3 жыл бұрын
Average "One over Two" fan VS average "Ouonne over Toux" enjoyer
@lyleandres1510
2 жыл бұрын
instablaster
@jhoughjr1
2 жыл бұрын
I noticed his 2 had a curvey line but his q looked like a nine.
Mathematician, Mustache, Accent, Clothes ... He nailed life.
@noahshomeforstrangeandeduc4431
6 жыл бұрын
ThePaull3d true
@zofop2891
4 жыл бұрын
I forgot my clothes
@genericusername4206
3 жыл бұрын
ThePaull3d why would you not wear clothes
@mrsamsun912
3 жыл бұрын
And life nailed him back
@asheep7797
2 жыл бұрын
@@zofop2891 you lost life and sanity
let's talk about *fR̸̵͇̹͍̰̗̫̭̠͈̮̳̞̫̬͎̼͉͕ͫ̒̿̏ͤ̾͘͞actions*
@shadowbane7401
5 жыл бұрын
Dat Epic Fish ikr
@robsbackyardastrophotograp8885
5 жыл бұрын
How do you even type an R like that?
@v6790
5 жыл бұрын
@@robsbackyardastrophotograp8885 he hacked his keyboard
@Maxence1402a
5 жыл бұрын
@@v6790 With a butcher's chopper.
@lyrimetacurl0
5 жыл бұрын
FR̸̵͇̹͍̰̗̫̭̠͈̮̳̞̫̬͎̼͉͕ͫ̒̿̏ͤ̾͘͞ench
"I wanna talk 'bout frrrrractions".
@columbus8myhw
8 жыл бұрын
Istari Pallando f-gh-gh-gh-actions
@thatoneguy9582
6 жыл бұрын
Human Effigy “You can add them up, or you can mooltiply them”
@gratux
5 жыл бұрын
@@thatoneguy9582 mülitplai
@TheWikiMax
5 жыл бұрын
he is like Mr Hollande :P
@AmonAmarthFan609
2 жыл бұрын
"Fr🇫🇷r🇫🇷a🇫🇷ctions"
He is so French the rice on my table turned into a baguette, and so does the water into wine.
@hughstout
8 жыл бұрын
And your rock music turned into romantic music
@sooosooo100
4 жыл бұрын
Water into wine is the speciality of a certain middle eastern man..
@mrl9418
4 жыл бұрын
I didn't see that coming, and I only have myself to Blame!
@asheep7797
2 жыл бұрын
The hole in my wall goes to Britain.
What I love the most about Numberphile is how enthusiastic all the mathematicians you bring up for show are!
When I saw this gentleman on the thumbnail, I knew right away this is going to be an awesome video.
@gabrielkellar1935
4 жыл бұрын
To me he looked like an american dad
@Triantalex
9 ай бұрын
??
I would listen to an hour long video of this guy just saying "fractions" over and over and over...
@NoriMori1992
8 жыл бұрын
"Fkhrakhchons"
@zorm_
8 жыл бұрын
That's quite how we say it in french lol (except the "on" sound is different)
@pj4717
8 жыл бұрын
ASMR
@geoff7936
8 жыл бұрын
Nailed it!
@zorm_
8 жыл бұрын
frakcheunze
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!
"Where's this guy from, Switzerland or something?" Looks at description: Southern California. "Oh."
@lbzimmerman96
9 жыл бұрын
TheJaredtheJaredlong Well he is from France originally, just now works in SoCal
@mikecsiy
9 жыл бұрын
TheJaredtheJaredlong That's what all Southern Californians sound like. He haz zee clazzic valley aczent.
@pedrodemello3666
8 жыл бұрын
Somehow I don't think he was born in California... just sayin'.
@zorm_
8 жыл бұрын
he is french, he talks with a french accent and he was born in france... He's probably californian
@loganallomes4305
6 жыл бұрын
A quick google search shows that he was born on the 9th of September, 1955, in Tarbes, France
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
9 ай бұрын
??
Could this man be any more french?
@lifeproofminds
9 жыл бұрын
hr Haha Ikr? Even his first name is Francis.
@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
9 жыл бұрын
hr I thought he was German :/
@luisadrian327
9 жыл бұрын
TacoDoesKZread Me too and I'm german XD But the accent is french I guess... :)
@GuyMichaely
9 жыл бұрын
hr Yes. He's German.
One of the most amazing Numberphiles of late!
@BarclaySmith
9 жыл бұрын
Take Walker Totally agree - I was watching with mouth agape for much of the video.
@kkira22
9 жыл бұрын
Right?! Moustaches and accents are awesome but there's really nothing better than the peculiarities of this particular reality.
@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
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
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
Glad to see some Welsh mathematicians on Numberphile!
@Box-of-hats
9 жыл бұрын
I'm joking :D
@john117950
9 жыл бұрын
Stuart Hull You can tell when a frenchguy is speaking english...
@edwardbottle1018
9 жыл бұрын
Stuart Hull Poe's Law, amirite?
@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
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 !
My brain just exploded. AMAZING VIDEO. WE NEED MORE OF THIS GUY TOO
This guy is by far my favorite Numberphile guest solely based on voice.
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.
at around 1:10, i distinctly heard the word puttiply. awesome.
@raumaankidwai
9 жыл бұрын
rosselur More like 1:16
@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
9 жыл бұрын
raumaan kidwai 1:20 and on... "KHOWEVER"
@carloshiguera9221
9 жыл бұрын
raumaan kidwai I laughed more than I should have
@jeremylawrence6041
9 жыл бұрын
Carlos Higuera me too, i'm in tears
4:04 "Pussyball" k
@NebulusVoid
9 жыл бұрын
Verlenzius possible m8 lol
@axelord4ever
9 жыл бұрын
Blake T My mate is possibly laughing out loud? Are you a seer?
@NebulusVoid
9 жыл бұрын
***** Yes. Yes I am lol
@VincentKun
5 жыл бұрын
404 stopped working
@TheSummoner
5 жыл бұрын
Verlenzius damn you almost made me choke myself with food
This is all french stereotypes in just one person.
@Jkirek_
8 жыл бұрын
that's german, not french. please learn your stereotypical foreign english accents
@DerSim688
8 жыл бұрын
@Jasper Kole I hope you are not serious?
@BlackBirdJacobo
8 жыл бұрын
+Jasper Kole I know but I assure you that guy's English is French af.
@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
5 жыл бұрын
Jasper Kole PLeASe LeARn YouR STeREoTyPicaL ForeIGn EnGLisH ACceNtS.
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.
I just love listening to him say the word "Prime"
@BonDonJuan
9 жыл бұрын
Pggghhheim
Cool maths! His moustache is magnificent. Also, Putin ancestor at 9:26? :p
@matteochancerel9332
7 жыл бұрын
I was exactly thinking the same thing xD
@johnchessant3012
7 жыл бұрын
Especially the one in the background! :D
@HawtDawg420
2 жыл бұрын
Right??
At 3:10, I was really hoping to see a ≡ sign. I f***ing love those.
learning math with super mario
@Jhauty
5 жыл бұрын
I'm INSTANT LAUGHING OF YOUR COMMENT
@stefanschacht3322
5 жыл бұрын
He looks a bit like Saddam Hussein...
@Ivan_1791
5 жыл бұрын
Hahaha. xD
@franekpiechota6514
5 жыл бұрын
After video he is going to save queen pich
@almarkowbender
5 жыл бұрын
Mario is Italian not French...
His 2's are written so fancy, they even look French
@zorm_
8 жыл бұрын
he is french :p by the way he has a huuuuge french accent when he speaks english
@Ian-nl9yd
8 жыл бұрын
+Zorm we know
@zorm_
8 жыл бұрын
pipi prout
@Triantalex
9 ай бұрын
false.
What a positive and happy professor. It helps get over the accent. His personality is very clear ie, he's clear.
One of the best guest appearances in numberphile history. What a legend.
i love this guys accent, cant quite put my finger on why. also i learned a thing today ^^
@basbas192
9 жыл бұрын
9cool10 French Accent. Pretty much have the same.
@9cool10
9 жыл бұрын
ahh yeah, now i can hear it XD its a really cool accent though.
@CastelDawn
9 жыл бұрын
***** yeah, it's weird to hear when you're french
@CastelDawn
9 жыл бұрын
***** really? well, that explains the clothes
I start laughing for no reason watching this, it's so incredible
Wow... at the very beginning I was like "meh, just playing around with fractions", but by the end *mind = blown!!* :O
6:02 - 'Something to do on a rainy day. List all fractions p/q with 0 < p
@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}]], #
This guy looks like Jeremy Clarkson's clean-cut Belgian cousin.
@bcubed72
8 жыл бұрын
He looks like Vicente Fox. Doesn't sound like him, though.
"I thought that we could talk about ghfrakkktions"
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.
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
Is he using "my pinky told me" as the idiomatic equivalent of "a little bird told me?"
@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
4 жыл бұрын
Might be old fashioned in some places (I guess you're in Europe) but it's still very popular in Quebec
Am I the only one that thinks his (obviously French) accent sounds like it has some German influence?
@Dave-iz6lh
5 жыл бұрын
Maybe he lives in Strasbourg!
@antonanairamendoza7193
5 жыл бұрын
He is Californian
@maximmillennia
5 жыл бұрын
Now I cant unhear it
@gamingcat341
5 жыл бұрын
Mar'kusi Rosenburg same
@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.
Best video ever on Numberphile. Amazed by all the conclusions that were made. Just brilliant!
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.
I would love to know the deeper explanation for this.
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.
honestly this guys smile makes me so happy, like he looks genuinely happy throughout all of this.
Awesome! This might be my favorite Numberphile video to date! I've been drawing those kinds of circle patterns for years. Many thanks Brady! : )
Braum, is that you?
@newgoredan303
9 жыл бұрын
Ahahahahah
@123FireSnake
9 жыл бұрын
maklas ho ha hahaha
@archmage1999
9 жыл бұрын
maklas There will be a new skin for Braum, his shield will be a blackboard =D
@MenwithHill
9 жыл бұрын
Kil'Jaeden "Big Professor Braum", now available for 975 RP.
@ItsSansom
9 жыл бұрын
maklas Braum is here!
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 жыл бұрын
Guys, please, I didn’t get the statement, Every triple of what is a farey sum? I’m serious
One of the more interesting videos in a while for me. Hoping we get more videos with Francis.
He's so deliberate and clear in what is clearly not his mother tongue.
Really liked this guy, you should have him on more.
This guy is awesome - I hope we'll see Francis more often! :D
The circles being tangent like that is just amazing. Hooray for funny fractions!
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.
I hope this guy also has a video about the mathematics of yodeling
Cauchy looks like Vladmir Putin
@igesio
9 жыл бұрын
My exact thought
@BugSunder
9 жыл бұрын
YESS i thought this
@FreeScience
9 жыл бұрын
TheHomeless87 Was about to say, but I had to search the page for "putin" first :P
@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
6 жыл бұрын
TheHomeless87 more like stalin
when you got to 13:14. My eyes got wide. That's awesome!
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.
'I thought that we could talk about frrractions.' Great way to start a video. c:
That French accent
My best numberphile so far !
This was truly amazing, more of this great guy!
More videos with Francis Bonahon, please
This Ford Circle Packing... it's a fractal, isn't it?
@Yoreni
5 жыл бұрын
it looks like one
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.
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
Fractions is very niiice, high-5!
J'adore son accent !
One of my favorite video's so far! Very interesting!
This man is amazing. We need more videos of this man.
cool. the circle thing is like the dirichlet function
@Deathranger999
9 жыл бұрын
A serious comment from Ben? What is this?
@JonhamYT
9 жыл бұрын
ey ben
@ben1996123
9 жыл бұрын
Kieran Kaempen this is maff ***** ello
@goingquentin
9 жыл бұрын
ben1996123 hi ben the slidy man
@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.
Sincèrement, on dirait une parodie de notre accent haha
You had me at "FRACTIONS"! What a marvellous character!
It's just so satisfying when mathematics fit in together SO. WELL.
Still waiting for Toyota Circles
@GeorgeRPope
4 жыл бұрын
Well we could be sure that they'd be more reliable.
@1DInciner
4 жыл бұрын
Audi one
Dat moustache doe
That was amazing and a great example of the wonder of mathematics. I'm fascinated to explore the proof.
Well, this is amazing. Such connections in math always makes me think how beautiful our universe is
Who needs an ark??? I Noah guy!
@user-cn5pm7zg1u
5 жыл бұрын
bad
Ah yes, *myootiplication*
Wow what a fabulous video, both the host and the math involved! Some of the patterns in nature and mathematics are incredible.
This blew my mind, I love stuff like this
This guy's accent is dope as f. Where's he from?
@rhysappa
9 жыл бұрын
France.
@Slithy
9 жыл бұрын
rhysappa Thanks.
n-th comment
Fun stuff! I could listen to this kind of thing all day.
This guy has the most amazing accent ever and this is the most amazing thing about fractions I have even seen.
I really want to know which programs were used to do these graphs and calculations.
@RamsesTheFourth
9 жыл бұрын
Icaro Vasconcelos I think he made them himself... its easiest way, I would use probably Python :)
@Blistio11
9 жыл бұрын
Icaro Vasconcelos probably something specificaly made for this. a pretty easy application to make, at that.
@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_
9 жыл бұрын
thank you all
@JanM351531351
9 жыл бұрын
Icaro Vasconcelos Possibly mathematica.
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
9 жыл бұрын
number ------------- number
@AnCoSt1
9 жыл бұрын
He not German...
@CubeBag
9 жыл бұрын
p/q
@LawffleCopter
9 жыл бұрын
CubeBag now puttiply number/number by p/q
@bitchslapper12
9 жыл бұрын
AnCoSt1 Sorry, I now believe he's French after further investigation of his accent.
"Pages and pages and pages and pages." This guy is awesome haha!
Warm... fuzzy... feelings!! This must be a rare sighting of the time traveling Favorite Grandpa/Great Uncle Francis
Eyy, Luigi funny fractions eyh?
This was so cool! Enjoyed that professor, hope you have more from him coming :)
I think everyone has a new favourite mathematician on KZread!
videos like these make life seem so beautiful..........also, love the guy's accent!!
Amazing ! Mathematics is so beautiful. Pure !
I thought I discovered these once. It was fun uncovering all of the fun properties.
What a fantastic video and provement! It really makes things different
great video! keep 'em coming! just wanted to say, i could listen to this guy talk all day haha
That was absolutely amazing!
This might be the most mind-blowing Numberphile video I have ever watched
I love how Francis writes 2. So beautiful.
More on Farey additions and Ford Circles please :) This is fantastic! Thank you!