Part 2 is at: kzbin.info/www/bejne/sGK3eZR4qchoiKc Check out some Numberphile T-Shirts and other stuff: teespring.com/stores/numberphile
@jjason187956 жыл бұрын
Numberphile is this and old video? Matt has shaved his head on his channel
@SaborSalek6 жыл бұрын
At 7:23 you made a small mistake because the very next line is not an exact statement, but an approximation, which is only true for n going to infinity.
@JorijnLamberink6 жыл бұрын
@@SaborSalek watch the whole video before commenting please
@SaborSalek6 жыл бұрын
+PlopKonijn I did. He mentions it but he doesn't acknowledge that this video is kind of pointless because he wants to prove his point by using the same trick (approximating) he did last time - which he was criticized for by the Reddit user.
@wierdalien16 жыл бұрын
@@SaborSalek no he does acknowledge it. He talks about the rounding error.
@mookooy5 жыл бұрын
Matt has two expressions: pleased with himself, and displeased with someone else
@imagineaworld4 жыл бұрын
@Dr. M. H. hahaha xD *laughing from US
@ryanmunn41343 жыл бұрын
666 likes ooooooh spooky
@monasimp872 жыл бұрын
@@ryanmunn4134 0 likes spooky
@SquirrelASMR2 жыл бұрын
@@monasimp87 000000h spooky 👻
@YagerMaelStrom Жыл бұрын
@@ryanmunn4134 1200 likes ooooooh spooky
@DanDart4 жыл бұрын
"I should give him directions to the nearest... maths... department-what?" This is why I love Matt
@jamesthelemonademaker Жыл бұрын
I am actually dying of laughter right now and in tears typing because of this edit
@7GHunter76 жыл бұрын
The video is 11:23 long, what an ingenious "coincidence"!
@nero37006 жыл бұрын
You must be on mobile... It adds another second for no reason.. Sorry to tell the video is actually 11:22 long...
@maxhaibara88286 жыл бұрын
Or is it?
@fdnt7_6 жыл бұрын
Vsauce music plays
@austingulotta98176 жыл бұрын
@@fdnt7_ Vsauce, Michael here. Is time theft a thing?!
@DominicMcCool6 жыл бұрын
It rounds it up....
@thespanishinquisiton83066 жыл бұрын
The Lucas numbers should be classified as a Parker Sequence due to their almost correctness.
@gehrehmee11 ай бұрын
THIS is the real burn. Well played.
@PC_Simo4 ай бұрын
Exactly 🎯! 👍🏻
@Porglit6 жыл бұрын
"...Let's do what we do to celebrate things in mathematics, let's try to generalize them" WOOOOO PARTY!!!
@dragoncurveenthusiast6 жыл бұрын
When he said that I paused to check whether someone already commented about it :-D
@CarbonRollerCaco3 жыл бұрын
Celebrating a job well done by taking it into overtime. Proof that you love your work.
@aspiringcloudexpert51276 жыл бұрын
The Golden Trilogy: an epic saga on the war between the Lucasians and the Fibbonaccis.
@anononomous6 жыл бұрын
Having a war over a slightly different reading of what is effectively the same thing... Nah, would never happen...
@mattf69006 жыл бұрын
REEEEE
@IceMetalPunk6 жыл бұрын
+anononomous But hey, at least it would be a slightly different reading of maths as they exist in the real world, so that's a step up from *cough* some things *cough* .
@shruggzdastr8-facedclown6 жыл бұрын
anononomous: ...kinda like the conflict between the Palestinian Liberation Front and the Liberation Front Of Palestine and the Front For The Liberation Of Palestine?
@underslash8986 жыл бұрын
@@shruggzdastr8-facedclown you mean kinda like the conflict between the people's front of judea and the judean people's front?
@markoandreis22546 жыл бұрын
That Parker Square at 6:05
@martinzijnkanaal6 жыл бұрын
Sneaky bastards
@PhilBoswell6 жыл бұрын
I think that's the same one from a different angle…
@bgezal6 жыл бұрын
Soon after, the link to merch appeared.
@NicklasUlvnas6 жыл бұрын
@2:40
@imaytag6 жыл бұрын
The op was referring to the one that flashed onto the picture on the wall at 6:05, not the one on the desk.
@NetAndyCz5 жыл бұрын
7:23 I am calling Matt out on this hidden and sneaky rounding.
@nametry33 жыл бұрын
YES I thought the same thing hahah
@goutamboppana9613 жыл бұрын
explain plz i am curious
@nametry33 жыл бұрын
@@goutamboppana961 The golden ratio doesn't equal exactly the next Fib. number divided by the current. The division between consecutive Fibonacci numbers is an approximation of the golden ratio, and if you assume it's exactly the same, you get the result Mr. Parker is showing. There's the sneaky rounding!
@WooperSlim2 жыл бұрын
Matt admits his hidden and sneaky rounding at 9:51
@GeneralTrom5 жыл бұрын
I've never laughed so hard at a Numberphile video. As soon as I realized Matt was circling back to his favored Lucas sequence I lost it. That delivery was perfect Matt!
@PC_Simo4 жыл бұрын
”5 is the only Fibonacci number that’s equal to its position.” 1: ”Am I a joke to you?”
@PC_Simo3 жыл бұрын
@Teun van Diedenhoven That is true, if you consider 0 to be Fibonacci number #1; rather, than Fibonacci number #0. Matt was considering the fibo numbers to start from 1, 1,…, in which case, both 1 and 5 would meet the criteria; although, either way, 1 occupies 2 positions (#0 & #1, or #1 & #2).
@CarbonRollerCaco3 жыл бұрын
1's the Schrödinger's Fibonacci number; literally in the right place and the wrong place at once.
@mauefw3 жыл бұрын
Not to mention 0, the 0th Fibonacci number.
@Jivvi3 жыл бұрын
@Teun van Diedenhoven they do start with 0, but they start with the 0th number in the sequence, not the 1st.
@diedoktor3 жыл бұрын
@Teun van Diedenhoven 0 and 1 do. You just listed 2 counter examples in your comment lol.
@marksmithwas126 жыл бұрын
What an exciting time to be alive
@iski43174 жыл бұрын
How are you verified?
@samisiddiqi54113 жыл бұрын
Why are you verified?
@Muzzycal2 ай бұрын
Where are you verified?
@LucasMONeill6 жыл бұрын
As a math student named Lucas, I cannot describe how amazing it feels to have the great Matt Parker describe why Lucas numbers are better than Fibonacci numbers...
@tomrivlin72786 жыл бұрын
"Proxy Pylon" is actually the name of an opening gambit you can perform in the StarCraft/StarCraft 2 games. It's considered to be a 'cheap' tactic, so I'm glad you weren't beaten by it :D
@AkiSan06 жыл бұрын
and "ze" probably means "the".. and we need additional pylons!
@tahmidt6 жыл бұрын
I am so glad someone caught that! My life for Aiur!
@maciejkszczepanski6 жыл бұрын
Actually "proxy something" refers to basically any production facility (or a pylon) placed strategically outside your base to either conceal your plans or shorten the time needed for your units to reach the desired position. It can be used in a cheesy way to one-base someone into oblivion but these are also common during the middle and sometimes even late game. Proxy pylons especially.
@tomrivlin72786 жыл бұрын
I was waiting with bated breath for someone who knew more SCII stuff to give me the deep dive on the strats like this. Thanks :P
@yuribr846 жыл бұрын
The meaning of his account was the only part of the video I could understand.
@timothyalexander53886 жыл бұрын
I feel like Lucas numbers versus Fibonacci numbers debate is kind of like pi versus tau...both of some advantages but they're closely related so it doesn't really matter which one
@harshsrivastava95706 жыл бұрын
*pi vs tau
@timothyalexander53886 жыл бұрын
@@harshsrivastava9570 oops typo thanks
@DeathBringer7696 жыл бұрын
Yup, reminded me of that debate as well, minus the little difference how Parker was on the popular side of the argument with Pi vs Tau (picking Pi's side) whereas here he's in the less popular side, fighting against the very common/very popular Fibonacci sequence and the Golden Ratio, lol. We've seen him tackle this topic before though too so the opinions he expressed here weren't too surprising given that us long time viewers already knew what to expect ;)
@jbobsully116 жыл бұрын
“so it doesn’t really matter which one” ...except pi is superior.
@jfb-6 жыл бұрын
I used to think π was better but then I did complex analysis and the amount of times you have to write 2π is annoying
@jlinkels6 жыл бұрын
I am quite happy that Matt did another Numberphile. He has a very nice presentation.
@made-of-amelium4 жыл бұрын
Matt: 5 is the only fibonacci number equal to its position First fibonacci number: they ask you how you are, and you just have to say you're fine when you're not really fine, but you ...
@PC_Simo Жыл бұрын
I guess that’s, what we call: a ”Parker Fun Fact” 😅.
@amxx6 жыл бұрын
6:50 "5 is the only Fibonacci number which is equal to its position"... what about 1?
@Xnoob5456 жыл бұрын
1,1 so 1's position is first AND second so it's position is 1.5 and it's approximately 2
@amxx6 жыл бұрын
"so it's position is 1.5 and it's approximately 2" Wow, hold your horses! I was here to do maths, not physics :P
@Xnoob5456 жыл бұрын
@@amxx if u watch favremysabre when u say horses the horse that talks is Lucas
@Xnoob5456 жыл бұрын
So its like a joke
@Theo_Caro6 жыл бұрын
That is a trivial case.
@TabbyCat330986 жыл бұрын
Did anybody else feel a little thrill of anticipation when Matt said “let’s generalize it and call it a day”? Like, oh boy, can’t wait to see how he burns the internet back :D
@PC_Simo Жыл бұрын
I did 😅.
@nymalous34286 жыл бұрын
Oh, Matt is admitting he is wrong... wait! He's turned it around! He is right again!! Hooray!!! (I'm a fan of Matt Parker, in case you didn't notice.)
@mementomori71606 жыл бұрын
That "plot twist" is so beautiful.
@2adamast6 жыл бұрын
Just a abusing an equal sign here or there
@lukesomers20316 жыл бұрын
Yeah, irrational number equals integer. Hrmmmm.
@moormonkey6 жыл бұрын
And then he was wrong again
@Icerecruit05 жыл бұрын
Parker square...
@ebrahimalfardan88236 жыл бұрын
No that was an unexpected turn of events. Always finding new ways to never admitting defeat. 👏😂 Matt, you are a true man's man! 👍
@dancrane38075 жыл бұрын
A true math's man.
@AnotherBrokenToaster6 жыл бұрын
Matts hair grew back!
@DeserdiVerimas6 жыл бұрын
The sequence of Matts head tending towards a sphere is not convergent, it turns out.
@kal90016 жыл бұрын
Only some of it :P
@wolframstahl12636 жыл бұрын
Some of it at least ;)
@fireflash60126 жыл бұрын
What happened to it in the first place? I seem yo be living under a rock
@kissassparty6 жыл бұрын
This is probably an earlier recording before he shaved it.
@Ludvigvanamadeus6 жыл бұрын
How dare you admit that you were wrong without comparing your oponent to Hitler , this is not how internet arguments are supposed to work!
@stormysamreen70626 жыл бұрын
I don't know which is better, Matt's epic comeback or the fact that this video is exactly 11:23 minutes long...
@Theo_Caro6 жыл бұрын
We he said F_n*phi= F_n+1, he was rounding. That's only true as n tends to infinity.
@romygomezjr6 жыл бұрын
Exactly!!!! It wasn't a good burn
@SaborSalek6 жыл бұрын
Yeah, good that other people also caught it. We should upvote all the comments that mention this so that Matt and Brady realize it.
@OmaMansou6 жыл бұрын
Theo_Caro YES ! Oh my god ! I was like WHAT IN THE WORLD IS HE DOING ??
@Killerkarpfm6 жыл бұрын
He said that in the end ^^
@1996Pinocchio6 жыл бұрын
He even said that himself. But at least, there's a comment for the system. gj
@non-inertialobserver9466 жыл бұрын
Why the Fibonacci numbers are better: if you stop the continued fraction of the golden ratio at finite points, you get ratios of Fibonacci numbers
@FutureNow6 жыл бұрын
There's a lot of reaching in both arguments methinks 😂
@unoriginalusernameno9996 жыл бұрын
FutureNow Hey when are you going to start making more videos?
@FutureNow6 жыл бұрын
notKARTHIK. Hey, so my upload schedule right now is roughly once per month so there will be a new video by this weekend.
@Reluxthelegend6 жыл бұрын
welcome to arguments in the internet
@hps3626 жыл бұрын
Well technically you reaching tending towards infinity and then it works perfectly yeah.
@AHBelt6 жыл бұрын
Maybe he just wants to be Golden ratio'd.
@MumboJ2 жыл бұрын
"It turns into a bit of a philosophical discussion about the square root of five" is a phrase you just KNOW involves Matt Parker somehow.
@Mythicalmage6 жыл бұрын
Looks like he was more of an Artosis Pylon.
@domlapinta6 жыл бұрын
6:05 love the "That's a classic Parker Square move" in the upper right!
@NoNTr1v1aL6 жыл бұрын
9:24 classic parker joke
@Ameto6 жыл бұрын
I remember this back when it was posted on his subreddit over an year ago, it took you guys a long time to get around to it.
@gobsvensen6 жыл бұрын
1. Matt thinks Lucas numbers are better than Fibonacci numbers 2. Lucas numbers are better because otherwise you need to split it into 2 sets of fibonacci numbers to accomplish the same thing 3. You need two sets of pi to get Tau 4. Tau must be better than Pi because otherwise you need to split it into 2pi to accomplish the same thing 5. Matt must think that Tau is better than Pi.
@JoelGaller6 жыл бұрын
The Parker Square merch card at 6:00 when he admitted he was wrong was hysterical.
@maxhaibara88286 жыл бұрын
Golden Age of Meme
@helderboymh5 жыл бұрын
I love that when Parker admits he is wrong @6:08 the card pops up saying: *want to buy some Parkersquare merchandise?* Love it!
@want-diversecontent38876 жыл бұрын
Backwards Fibonacci 5, 3, 2, 1, 1, 0, 1, -1, 2, -3, 5 Backwards Lucas 11, 7, 4, 3, 1, 2, -1, 3, -4, 7, -11 EDIT: Whoa, what's this? A second like bomb?
“A bit fuzzy and almosty” - so it was the Parker Square basically.
@beirirangu6 жыл бұрын
It's almost as if the Lucas Number are BASED on the Fibonacci Numbers!
@harshsrivastava95706 жыл бұрын
It's actually the other way around
@captapraelium15916 жыл бұрын
How so?
@rebeccamccreary85306 жыл бұрын
Harsh Srivastava Fibonacci published his number in Liber Abaci in 1202.
@HL-iw1du6 жыл бұрын
beirirangu CAPITALIZING words doesn’t make your ARGUMENT any better
@LechuvPL6 жыл бұрын
But if you do the same with Lucas numbers you get Fibbonacci numbers. Well, multiplied by 5, but still. So Fibbonacci numbers are based on Lucas numbers, wich are based on Fibbonacci numbers wich are ba... ~[1 infinity later]~ In fact, in similar way it's possbile to construct any Fibbonacci sequence from any other you (just need to multiply these numbers by some factors) for example to make the third sequence (3,1,4,5... (I forgot the name)) from Fibbonacci you need to take a Fibbonaci number, multiply by 5, then add the prevoius one multiplied by -2
@bkboggy6 жыл бұрын
Both approaches are awesome. Mind blown.
@exbaddeathgod6 жыл бұрын
So doesn't that mean the Fibonacci numbers generate the Lucas numbers which makes them (the Fibonacci numbers) more fundamental?
@DeathBringer7696 жыл бұрын
Yes, but I don't think Parker likes highlighting that little aspect... ;)
@Tippel36 жыл бұрын
That depends on the point of view. You can also turn this statement around and say the opposite.
@insanitycrafter8553 Жыл бұрын
From my limited observations, adding the Lucas Numbers in the same way gives you the fibonacci sequence multiplied by 5.
@nikitanugent71656 жыл бұрын
The generalized sequence also works in reverse, to find Fibonacci numbers with indexes zero or lower. Before seeing this, I never thought to go in the other direction. Pretty neat!
@thomasgortemaker6 жыл бұрын
I am not convinced I am on zeproxypylon's side on this one that rounding step is just too ugly for me. p.s.: this new argument is almost like a parker square.
@macronencer6 жыл бұрын
I love it that the moment Matt said he always admits when he's wrong, a link popped up for Parker Square merchandise :D Well played.
@AdminAnish6 жыл бұрын
Today getting video from 3Blue1Brown and Numberphile😍😍😍
@blue91395 жыл бұрын
That is nice
@Cubinator732 жыл бұрын
1:05 "In fact, any sequence where you start with two numbers and then add them together next one and repeat, always approaches the golden ratio." 0, 0 -> 0, 0, 0, 0, 0, 0, ...
@mathmethman6 жыл бұрын
I have used a spreadsheet to work out which fractions m/n best approximate to the golden ratio as n increases. For n=1, the closest approximation is 2/1. For n=2 it is 3/2. For n=3 it is 5/3. For n=4 there is no approximation better than 5/3. For n=5 the closest approximation is 8/5. The next n which produces a closer approximation is n=8, for which 13/8 becomes the best approximation to the golden ratio. After that better approximations are achieved by is 21/13 and then 34/21. I didn't continue the spreadsheet any further. It is the Fibonacci numbers which are clearly providing the best approximations. 34/21 is accurate to within 0.0010 whereas (for example) 47/29 is out by 0.0026
@Moinsdeuxcat6 жыл бұрын
Yes, this fact is actually obvious because of the continued fraction of the golden ratio.
@imaytag6 жыл бұрын
I can't imagine Numberphile without the markers and brown paper, but by God the sound it makes is like nails on a chalkboard for me!!
@Seltyk6 жыл бұрын
I still think that hidden rounding effort counts as cheating. zeproxypylon gets my vote
@nonpopscience32916 жыл бұрын
100% agree
@estivalbloom6 жыл бұрын
Yep! He does exactly the same rounding by saying F_n*phi = F_(n+1). Zeproxypylon is correct
@karoshi26 жыл бұрын
Right. Even worse when one tries to hide it: I don't have to round. Oh, look, a squirrel! *trick*
@recouer6 жыл бұрын
i'd have to disagree on that because the earliest number aren't of much interest if you want a precise value of the golden number. We are talking about converging speed and we can see that in fact this series converge faster to the golden number than the fibonachi one. thus you'd need less calculus to approach the rounded value to the n-th decimal to get it hence its usefulness. edit: though a bit of mathematic rigor would be welcomed as his demonstrations reminds me of how i did maths in HS...
@karoshi26 жыл бұрын
recouer, actually it's about elegance I think. As how much less precise calculus than (1+sqrt(5))/2 (which is exactly phi) do you want?
@willkettle606 жыл бұрын
You can get around the rounding another way. If you let PHI be (1+root5)/2 and phi be (1-root5)/2 ie. the two roots of x^2=x+1, then the nth Lucas number, Ln = PHI^n + phi^n.
@EnderLord996 жыл бұрын
They're good sequences, Brent.
@wanderingrandomer6 жыл бұрын
4:00 Well, surely 'not very precise' and 'rough and ready' are familiar terms for Matt 'Parker Square' Parker.
@McMxxCiV6 жыл бұрын
"five is the only Fibonacci number that is equal to its position" Correct me if I'm wrong, but doesn't it start with one?
@emilchandran5466 жыл бұрын
I was waiting for it, Matt did not disappoint.
@stertheblur6 жыл бұрын
Unless you can get the Lucas numbers out of Pascal's Triangle more simply than the Fibonacci sequence, Fibonacci wins hands down.
@NUGGet-35626 жыл бұрын
GOSH I LOVE THIS CHANNEL AND I LOVE MATH
@C00Cker6 жыл бұрын
L_n = phi^n + (1 - phi)^n the true "no rounding" version
@ahabkapitany6 жыл бұрын
Damn I love this channel. Fascinating content as always.
@DRD3636 жыл бұрын
If Lucas numbers are the Fn+1 and the Fn-1 together, then their origin is Fibbonnaci (himachandra). There is no debate.
@ffggddss5 жыл бұрын
Circular reasoning. You've assumed that the Fibbonnaci numbers have been pre-defined in order to define the Lucas numbers. You can just as easily do the reverse, and define the Fibbonnaci numbers in terms of the Lucas numbers. But in my view, what makes the Fibbonnaci numbers more basic, is that they use the recursion that both sequences use, but with the simplest non-trivial starter pair: (0, 1). Every sequence a(n) that uses the Fibbonnaci recursion, can be written as a linear function of F(n) and F(n-1). And in particular, every integer sequence a(n) that uses that recursion, can be written as an integer linear function of F(n). Fred
@mathmachine42663 жыл бұрын
You can represent the Fibonacci Numbers as F(x)=(φ^x-cos(πx)φ^-x)/√(5) And the Lucas Numbers as L(x)=φ^x+cos(πx)φ^-x And, in general, for any sequence with initial values S(1) and S(2), and with the same recurrence relation as Lucas and Fibonacci, we can write our sequence as S(x)=A*φ^(x-1)-Bcos(πx)*φ^(1-x) with A and B such that A=(S(1)(φ-1)+S(2))/√(5) B=(S(1)φ-S(2))/√(5) (Also, for some reason, the first two formulas for Lucas and Fibonacci share some sort of symmetry that reminds me of the relationship between cosines and sines, and I can see what he's saying about how they're sort of tied together)
@kalleguld6 жыл бұрын
7:30 Fn + φ = F(n+1)? That doesn't sound right.
@KipIngram7 ай бұрын
This is a fun little back and forth. And in the end... it just turns out to be one of those things not worth arguing about, because EVERYONE IS RIGHT. We all tend to have a preference for things we are most familiar with - we get to stay more in our "comfort zone." Doesn't make us "right" and someone else "wrong."
@diogosimoes90686 жыл бұрын
No, you can't assume that Fn*phi = Fn+1. That would be rounding since the ratio between Fn and Fn+1 only aproaches phi. You can only get the lucas numbers by doing some kind of rounding. Edit: Wait, you talked about it
@dirm126 жыл бұрын
"I should give him directions to, the nearest... maths department" I have not had such a strong or sustained laugh in quite a while sir. Bravo.
@gdibble6 жыл бұрын
_Fun and informative video; _*_thanks_*_ for doing this_ 👍
@_infinitedomain6 жыл бұрын
Aw man I love this channel
@NoNTr1v1aL6 жыл бұрын
10:34 classic parker phrase
@nowonmetube5 жыл бұрын
This is like a mathematical rap battle
@SCMabridged5 жыл бұрын
Kind of a null point since you can just generalise the Lucas numbers back into the Fibonacci numbers; personally, I'm with zeproxypylon on this since he was actually able to get Matt Parker to admit he was wrong (sort of).
@FirstnameLastName-gx6wk4 жыл бұрын
You can take any of the sequences and add the surrounding digits to forma new one. For example, the Lucas numbers, using the same formula, generate 5,5,10,15,25,40 and so on, which then can generate 15,20,35,55,90
@FirstnameLastName-gx6wk4 жыл бұрын
Also, if you work out the simple formula, you get: a,a+b,2a+b,3a+2b,5a+3b,8a+5b, and so on, giving you two more sets of Fibonacci numbers
@fulmin47166 жыл бұрын
Reflecting on ones own mistakes is a most beautiful thing.
@joe98326 жыл бұрын
7:23 - Parker Generalisation. I don't believe that F(n) * Phi = F(n+1), because as already explained in the video, the golden ratio is what the Fibonacci numbers tend to as a ratio between them, so does not yield perfect results prior to infinity, which is quite a lot of numbers, to say the least, so will not be a correct generalisation due to inaccuracy. Let's take the 5th number. The 5th Fibonacci number is 5. Phi ^ 5 = 11.0901699.... Using the Parker Generalisation: F(n+1) + F(n-1), we get 3 + 8 = 11. Of course, 11 ≠ 11.0901699... So we have proven this to be wrong. Edit: nevermind... Didn't watch till 10:00.
@MarkTuchinsky6 жыл бұрын
6:05 I assume the Easter egg is in reference to an earlier video, may I please ask which one?
@Supermelo294 жыл бұрын
It's an easter egg for the parker square video they made! :D it's a hint to the Parker Meme hahahaha
@MarkTuchinsky4 жыл бұрын
@@Supermelo29 Thank you.
@truthgategames61486 жыл бұрын
So the biggest take away from this is closing your eyes and rounding in prayer will give you any set of numbers you like to fit any argument! See I can maths two!
@pierrecurie5 жыл бұрын
1:06 Not true. Any sequence that starts with a, -a/phi will converge to 0. However, due to numerical underflow/instability, it's hard to see this in practice.
@sebastianelytron84506 жыл бұрын
Watched the whole video and I have one question... Where's the beef?
@Rohit-ty6hn6 жыл бұрын
Sebastian Elytron 😂😂
@BattousaiHBr6 жыл бұрын
on the parker grill.
@IzzyIkigai6 жыл бұрын
Someone just rounded it down
@chrisg30306 жыл бұрын
Sebastian Elytron That has to come with a sequence known as Narayana's Cows (OEIS A000930) with a recurrence Cn = Cn-1 + Cn-3. The ratio between successive terms is approx. 1.4656. We could call that the Beefy ratio designated by the Greek character Moo. Moo^2 - Moo = 1/Moo
@Jivvi4 жыл бұрын
Watch part 2.
@ajb1296 жыл бұрын
My favorite part of this video is how "Parker Square merchandise" pops up in the corner right after Matt admits he was wrong
@vivanvasudeva38886 жыл бұрын
6:15, “Let’s do what we do to celebrate in mathematics, we try to generalise them”. You know Matt’s got something up his sleeve when he says this 😂😂
@additionaddict55246 жыл бұрын
Why is there a frame with squares of numbers crossed out at 6:05??? You have to use comma and period to go frame by frame to see it
@grivar6 жыл бұрын
Fibonacci numbers are just Parker Lucas numbers
@markblacket89006 жыл бұрын
those parker square popups are so much on point in all your videos
@JamesSmith-dn8lb6 жыл бұрын
Johnny joestar knows the golden ratio
@Luffy-yz9gj6 жыл бұрын
Sir Lagsalot Is this a fibonacci reference?
@Grozdor6 жыл бұрын
What a slow dancer
@IceMetalPunk6 жыл бұрын
Responding to an exact argument by hiding your rounding errors? What a Parker rebuttal! :P
@Tuviguitar6 жыл бұрын
Wait....... Why does matt has a full set of hair... Hmm suspucious (?)
@maxchatterji58666 жыл бұрын
Tuvi Its not the real Matt Parker. He’s more of a Parker Matt Parker.
@Arycke6 жыл бұрын
Pre recorded and released now o.o I thought about this Tuvi
@grexursorum60066 жыл бұрын
Omg Matt. I think you summoned the evil know :-) Very nice Video. I love that "Burned with your own arguments"-discussions :-) Thanks
@johnchessant30126 жыл бұрын
The Lucas numbers do NOT satisfy L_n = round(phi^n) for all n, since L_1 = 1 does not equal round(phi^1) = 2.
@viktordominguez2 жыл бұрын
Whoever subliminally put in that Parker Square at 6:03...well played 😏
@blue_link_34616 жыл бұрын
You made a mistake! phi^n is not equal to F(n+1)+F(n-1), it's only approaching at +inf. So Fibonacci is still better.
@fulvius726 жыл бұрын
But that is also true about Fibonacci: 1, 1, 2 . . . 3rd term divided by the second is 2/1 = 2, not phi. They approach the actual golden ratio in the limit as the number of terms approaches infinity, because only then will the ratio between two (extremely large) integers begin to approach an irrational number.
@totaltotalmonkey6 жыл бұрын
The original Fibonacci approximation allows you to find the value for any position in the sequence without multiple calculations.
@DeathBringer7696 жыл бұрын
Definitely a strength that should be noted ;)
@rishabhdhiman94226 жыл бұрын
But [phi^n/sqrt(5)] gives us the n-th fibonacci number. Also, I'm not either camp, recurrence is the lord of them all.
@Sylocat6 жыл бұрын
You know, in the earlier Lucas Numbers video, the rounding seemed a bit weird to me too, but when you point out here that it's equivalent to pretending that the much-vaunted Golden Ratio of the Fibonacci numbers is actually the exact ratio and not just the limit that it tends to, that makes that earlier video feel much more intuitive.
@GeodesicBruh6 жыл бұрын
Matt stop You’re making just a Parker square of yourself
@SpongeJ9 ай бұрын
'Im going to replace an approximation (the rounding) by another approximation". Isn't that an auto-burn?
@diptoneelde8366 жыл бұрын
Where is zeproxy??? Are you here???
@lukaskrause60225 жыл бұрын
At 6:01, thought I’d point out you get 3 fibonnaci sequences - if you add the coefficients together their sum is another
@GabrielHawkPot6 жыл бұрын
It still involves rounding, so is complete rubbish. You haven't thrown a gauntlet, you've just waved gauntleted hands.
@WhattheHectogon6 жыл бұрын
Love the video! Two quick corrections: 1:08 Not any two starting values will generate a "fibonacci sequence," for you could start with 0 and 0. 6:52 5 is not the only Fibonacci Number which is the same as its position. The other is of course 1!
@numberphile6 жыл бұрын
BUUURRRRNNN!
@-Omega6 жыл бұрын
We did it reddit!
@sethv5273 Жыл бұрын
If sounds to me like the fibonacci sequence is just Lucas numbers with extra steps
@e4r2816 жыл бұрын
Why did 10 die? He was in the middle of 9/11.
@wierdalien16 жыл бұрын
Out
@xenonram6 жыл бұрын
That's a weird joke to say. And by weird I mean creepy and sick.
@sneakrrr6 жыл бұрын
controversial and irrelevant joke
@SaborSalek6 жыл бұрын
+Sneakr Nothing controversial at all, only people in the US find this unfunny.
@wierdalien16 жыл бұрын
@@SaborSalek no its pretty unfunny.
@PC_Simo2 жыл бұрын
9:03 I noticed that rounding 😈. *EDIT:* 9:57 Exactly 👌🏻🎯!