This video about Fibonacci numbers was as good as the last two combined!

@knvids2812

Жыл бұрын

not going to like because likes are at a fibonacci number

@benloud8740

2 ай бұрын

Underrated comment

'B.' in Benoit B. Mandelbrot's name stands for Benoit B. Mandelbrot

@Paine137

6 жыл бұрын

raspi1983 Old joke.

@jony4real

6 жыл бұрын

Wait, so what does the second 'B.' stand for? :-)

@martinmartinmartin2996

6 жыл бұрын

the second "B" stands for Benoit B. Mandelbrot observerms

@Pacvalham

6 жыл бұрын

kzread.info/dash/bejne/npV8zo-adr27eqw.html The EDM in EDM Detection Mode stands for EDM Detection Mode.

@rcredidio

6 жыл бұрын

I saw what you did there :)

It is so interesting how literally everything in math is connected and intertwined. This is really cool because if you don’t quite understand a certain topic or problem you can look at some things you do understand and connect it to what you are having trouble with.

@waynedarronwalls6468

Жыл бұрын

That is the essence of what is known as the Langlands Program, named for Robert Langlands, who essentially created the whole schema...it relates to what are two entirely separate fields in mathematics, harmonic analysis and number theory, and the bridge that links them together.

@EquaTechnologies

5 ай бұрын

EXACTLY! I also find fascinating how this figure is encoded in math and anywhere you go in the universe, the figure is still the same!

Kudos to the animator. The scuttling mandelbug was a delight.

@trucid2

6 жыл бұрын

David Wiley The sound and the animation cracked me up.

@Lucaazade

6 жыл бұрын

No it was in fact the very opposite of a delight .

@qwertyasdf66

6 жыл бұрын

Yusss. I came down here to find the comments about it. That made me so happy. 4:24

@requemao

6 жыл бұрын

It's a Miyazaki Mandelbug!

@snbeast9545

6 жыл бұрын

It's a Scuttlebug jamboree.

Two of my favorite concepts in one video. Today is looking like a good day.

@busTedOaS

6 жыл бұрын

Women and Paper?

@jacobshirley3457

6 жыл бұрын

Audio and Visual Stimulation

@me_hanics

6 жыл бұрын

fibonacci and grills

@HiItsSalty

6 жыл бұрын

markers and brown paper?

@rmm2000

6 жыл бұрын

Fibonacci Numbers make it 3!

I love the little slot machine illustrating the iteration and the ping sound it makes. That's the way Mandelbrot sets should be computed.

She's so cool!

@fantasick8880

6 жыл бұрын

And cute!

@UnimatrixOne

5 жыл бұрын

@@fantasick8880 😍

@megamillionfreak

4 жыл бұрын

Angelic.

@linyenchin6773

4 жыл бұрын

and preeeeeety!!

Every time I’m feeling particularly sharp or intelligent, I click on one of these videos and it instantly puts me back in my place 😅 Still, for my limited understanding in advanced math, it was quite interesting.

Everything about this video was great! The visuals were tuned perfectly. The explanation was thorough but succinct. And the enthusiasm of the presenter really brings it all together. Great work!

Wow mind *BLOWN,* this is amazing Who else just wanted it to keep on zooming in until infinity? [8:41]

@sebastianelytron8450

6 жыл бұрын

You mean an infinitely long KZread video? No thanks.

@ZipplyZane

6 жыл бұрын

Yeah. I wish it would've just kept doing numbers and faded out, to create the impression it could go on forever. Stopping makes it look like it fails at that number.

@sebastianelytron8450

6 жыл бұрын

Nobody with half a brain thought it "failed" at that number

@SapphicRain

6 жыл бұрын

Here's one of the deepest zooms fellow Mandelbrot enthusiast kzread.info/dash/bejne/Yp57w8uoaJrbY6Q.html

@littleboylost1o1

6 жыл бұрын

+

7:20 Sometimes called the "naive sum" as well. It's also how you construct the Stern-Brocot tree, which enumerates all the positive rational numbers without repeating any.

I used to hate Mathematics. Long story short I developed Arithmophobia since an early age. Until tonight I watched a video about Fibonacci Sequence that introduces me a total new prospective of Math into my life. And for the first time in a long time 33 years more or less (I'm actually 37) I understood Mathematics 😱🤯😍 And after that I found this video is like a double 🤯🤯 sorry I had to is literally mindblowing. I think I can start saying I HAD Arithmophobia. Thank you!

@nodezsh

2 жыл бұрын

I would 'guess'? it usually happens because of how cumbersome it is to get used to it from such a young age and to basically drill math into your skull by brute force. Maybe, for whatever reason you had a knack for math but never developed the skill to use it because of some bad experience learning it growing up, at a very critical time. But this here, this makes no sense. It's like finding a glitch in the matrix. That's why it's so fun.

I lost her at 1+1 is 2.

@teovinokur9362

6 жыл бұрын

Nathan Thames That's kind of Numberphile's comment section in a nutshell

@JK-ff8xf

6 жыл бұрын

"PewDiePie's personal account" kek

@EvanRustMakes

6 жыл бұрын

Muhammad Mamoon 2+2 is 4, -1 is 3, quick maths

@deschain1910

6 жыл бұрын

Well, you have the basics down.

@KnakuanaRka

6 жыл бұрын

Who thinks that’s funny?!!

It's pretty cool, that these two things have such a connection

@Nukestarmaster

6 жыл бұрын

But not terribly surprising, Fibonacci numbers pop up just about anywhere.

@albertb8999

6 жыл бұрын

Nukestarmaster I do not think so_about these_numbers! Fibonacci_numbers_are definitely_not_anywhere,_you_idiot

@jpphoton

6 жыл бұрын

it leads me to speculate that *everything* is, in fact, encoded in the Mandelbrot Set.

@MarsLonsen

6 жыл бұрын

fukin druggos

@HeartAndMind34

5 жыл бұрын

@@albertb8999 I see what you did there, incorporating the sequence into your sentences. Well played, Albert B, well played.

The beauty of this math overwhelms me with emotion. Perhaps that seems strange, but the beauty of how all this works out makes me want to cry.

@justaphotographer

2 жыл бұрын

I thought I was the only one who feels this way! I completely agree! There is just so much order and beauty in all the world I don’t know how to take it all in emotionally.

Holly's laugh touches my cardioid :P

@zixuan1630

4 жыл бұрын

oof you better motice (this is not a typo)

@dxrpz1669

3 жыл бұрын

Simp

@waynewalls5033

3 жыл бұрын

@@dxrpz1669 incel

@anthonymarcelino8460

3 жыл бұрын

Incel

Test question: In the Fibonacci sequence 1, 1, 2, 3, 5, 8, 13, what would be the next number? Answer: So you take a point called c on the complex plane...

@philpayton8965

4 жыл бұрын

So is not a valid word with which to start a sentence except in very rare circumstances, for example explaining the purpose of doing something.

@nodezsh

2 жыл бұрын

@@philpayton8965 It is valid for a joke though. The joke was that he's explaining a very easy concept in the most complex way imaginable using the most casual language possible.

@philpayton8965

2 жыл бұрын

@@nodezsh sorry man it was a bit pedantic of me it just used to be a pet hate of mine, probably fuelled by the fact I had a horrible micro-managing supervisor who started every sentence with "So...". it was a me problem, not a you problem, just ignore me. was a long time ago now anyway.

Despite being quite familiar with both the Fibonacci sequence and the Mandelbrot set, my mind was indeed blown. It's even more amazing how "number games" like this can relate to the physical world (at least the one we can perceive).

This is one of the very best layouts of this fractal relationship with the Fibonacci sequence

Thanks for the incredibly fascinating video. The more I learn about the Mandelbrot set, the more I like it. Dr. Krieger is excellent as always.

Riemann: My zeta function hides primes Mandelbrot: My set hides Fibonacci Ramanujan: -1/12 __

@SparHD

6 жыл бұрын

PlayTheMind riemann is way above mandlebort and ramanujan

@AryanTheMentalist

6 жыл бұрын

Sharklops Haha.. nice one

@livedandletdie

6 жыл бұрын

What do you mean wrong, the limit of the nonconvergent sum of 1+2+3+4+5...+n where n=Alephnull-1 Does end up as -1*(1/12)

@DABATTLESUIT

6 жыл бұрын

jawad mansoor YOU CANT JUST MAKE THAT CLAIM AND LEAVE

@SparHD

6 жыл бұрын

+jawad mansoor Riemann has done much more besides his hypothesis eg: introduced the term manifolds, riemann integrals, was one of the pioneers of non euclidian geometry (with gauss and some other russian guy), also physics and probably tons of things that im not aware of, he was one of the best mathematicians to ever live

Amazing.... please do more videos about the Mandelbrot set. It is the most interesiting mathematical object I know of, in my opinion... Loving your videos!

*The reason I love mathematics*

@microbuilder

6 жыл бұрын

"Is the universe a fractal that can be calculated in equation? Is it Fibonaccis perfect golden spiral or is it just my imagination?"

@kennethwalker3939

5 жыл бұрын

From what I can tell, the world is defined by mathematics and patterns naturally. Math is the translation for the patterns that took the chaos or the earliest known parts of the universe up till as far as we can see. When Mathematics fails is the day I'm lost lol. @@microbuilder

@aarongoodwin4845

2 жыл бұрын

Beautiful Ladies teaching us?🤫

@realeyesrealisereallies97

2 жыл бұрын

Peng broads?

These inserted animations make all the difference - great thinking mr Haran!

@numberphile

6 жыл бұрын

Glad you liked them - they were done by Pete McPartlan

Next: how to cut a cake via prime numbers, Graham's number created by Conway's game of life, and the fractal dimensions inside Parker squares.

@erik-ic3tp

6 жыл бұрын

Do you want existential crisises? Anyway, cool subjects!

@matttondr9282

2 жыл бұрын

…while doing a dice trick represented by playing cards printed on the surface of a Klein bottle.

2:12 even non-mathematicians love this for different reasons xD

@Myrslokstok

6 жыл бұрын

Shubham Shinde Yes it is fun. They kind of look down on us as children.

@pizeblu

4 жыл бұрын

When you really uncover it, it is for the same reasons, it is a way to describe or show the nature of the universe and consciousness. Just mathematicians see it in numbers and other people see it more spiritual, but it dissolves into the same sensations one has.

@raffaelepiccini3405

3 жыл бұрын

@@pizeblu well.. except that the way mathematicians see it actually makes sense, the way you see it doesn't.. it really have nothing to do with consciousness, the nature of the universe... It's just math As a non matematician myself I love it because it shows how something so complex and weird can come up from such a simple rule.. also because fractals are just weird, counterintuitive and fascinating.. but nobody who understand this even a tiny bit would say that it's connected with things like consciousness or the nature of the universe.. get your feet on the ground mate

@ManlyBog6448

3 жыл бұрын

@@raffaelepiccini3405 I just don't understand how so many people who had never communicated before are able to "figure out" fractals and how they relate to consciousness on their own.

I wrote a program to generate the Mandelbrot set many years ago and the interesting part was outside the iconic shape - the colours are formed as visual representations of the number of iterations (like a contour map) with the iconic shape merely the set of values that kept on iterating. They were the boring bit! Thank you for showing me what I was missing. I'll have to revisit that code with these extra features to explore!

Great explanation, thanks. By this construction the numerators are also the Fibonacci sequence, two terms behind the denominators. Since the ratio of subsequent terms in the Fibonacci sequences approaches the Golden Ratio as n --> infinity, this means that the ratios that you are considering approach the Reciprocal of the Golden Ratio, Squared. [I think this is right - and surely pretty well known. I just realized it from your presentation.]

2:13 made me smile

Glad to see her again!

This channel never ceases to amaze me.

Very interesting and well explained Holly as always. Thank you!

I would tell a joke about Fibonacci. But it's as bad as the two previous jokes you heard combined.

@wierdalien1

6 жыл бұрын

Cyberspine #groan

@raphielohnef4678

6 жыл бұрын

You shouldn't start with two zeros... :D

@Grizzlywer

6 жыл бұрын

0 + 0 = 0

@bradleylomas7525

5 жыл бұрын

Cyberspine and where does your joke end? If you are going to be funny, at least have an educated punch line to go with it. Those are hilarious

@josuke6869

4 жыл бұрын

@@bradleylomas7525 HAHAHAHAHAHAHAHAHAHAHAHAHHAHAHAHAHAHAHAHAHAHAHAHAHAHAHAHAHAHHAHAHAHAHAHAHAHAHA AHBAHSBHABSH HAHAHAHAHAHAH

I can see that nail and gear flag in the background :)

@paulkingtiger

6 жыл бұрын

and a Reunion swamp hen!

You could draw a straight line from 1/4 to the waist. Since the map is 1/2-sqrt(1/4-z), the straight line from 1/4 is still straight in the circle. And an arc subtends half the angle from a point on the circumference that it does from the center. So the bearing of the point on the circle from 0 is the same as the bearing of the point on the cardioid from 1/4.

What I've learnt is no matter how many Mandelbrot videos I watch, I still have no idea how it's made. Only that it looks amazing on a projector!

The picture of the freshman sum they showed was wrong. Is it a Parker freshman sum? 🤔

@Morstius

5 жыл бұрын

I was searching for the comment pointing that out, wonder who misunderstood the freshman sum joke

@mikeo759

4 жыл бұрын

For some reason they showed the multiplicative

A new video of Dr. Holly, aka she who commands my heart, mind and soul. This is a great week indeed.

Could you do a follow-up video on why the bulbs at those median points always have that number of antennas equal to the denominator?

Numberphile really nails it by explaining math in an entertaining and lighthearted way.

Mandelbrot set is amazing. It's incredible how quite simple definition leads to infinitively complex structure.

4:30 theory of T H I C C N E S S

Wow, this was the best video from you for a while

I love how Brady has the Nail & Gear in the background.

oh yes, Holly Krieger

@dlee645

6 жыл бұрын

IBMicroapple There needs to be more Dr. Krieger videos.

@fantasick8880

6 жыл бұрын

I think I have a new crush.

@EVILVIKTOR

5 жыл бұрын

@TheronQRamacharaka I'm guessing it's a perfect match. But something tells me the carpet is gone.

@takotaw8453

4 жыл бұрын

IBMicroapple simp

@waynewalls5033

3 жыл бұрын

@@takotaw8453 still a virgin

Intelligence makes people more beautiful

@NwoDispatcher

4 жыл бұрын

Racial purity makes humanity beautiful

@NwoDispatcher

4 жыл бұрын

@AccuracyIsGone I agree... come go after the heretic of the g4y empire

@arthurmee

3 жыл бұрын

@@NwoDispatcher the exact opposite is true. Racial purity leads to an amplification of genetic defects over time. The largest gene pool is the healthiest.

@andrew7taylor

3 жыл бұрын

@@NwoDispatcher If you truly believe that, don't ever have a DNA testing. You'll find out that you're anything but. Most of your ancestors had more IQ than you and had this idea that screwing around is more fun than raging about a concept that doesn't exist.

@FrankACai

3 жыл бұрын

@@NwoDispatcher come on, evolution needs tension. How about you leave it be when it's so minor

This is amazing. I'm sure that somebody can show that this connection is absolutely natural. But it definitely is not obvious and that makes it so beautiful and funny. Thumbs up!

i was obsessed with the fibonacci sequence when i was little and i'm obsessed with the mandelbrot set now, seems like a perfect video for me lol

So I guess it's time to fall in love again...

@takotaw8453

4 жыл бұрын

Mobin92 simp

@dxrpz1669

3 жыл бұрын

Simp

@cyberhexreal

3 жыл бұрын

Simp

@masonhunter2748

3 жыл бұрын

Hi

@wrexshunt

3 жыл бұрын

Ha ha ha - he may be a math geek and be on about that !

The Mandelbrot Set will never be as beautiful as Dr. Holly.

@Darker7

6 жыл бұрын

I disagree :Ü™

seriously- you guys and this channel have had an actual, noticeable effect on my life. i am filled with awe more often than i was before folowing you. i have begub studying math in my spare time and i f*ing love it! i cannot thank everyone associated with this enough.

What happens if you apply the digital root of the numbers in the fibonacci sequence instead? (which happens to be a set of 24 repeating numbers? the first 12 being a 'reflection' of the second set of 12, where 1st and 13th (and therfore 25th and 38th), 2 and 14, 3 and 15 etc always add up to 9) 1-1-2-3-5-8-4-3-7-1-8-9- (1st to 12th Fibonacci numbers) 8-8-7-6-4-1-5-6-2-8-1-9 (13th to 24th) Would you find that there is indeed a repeating cycle in the mandlebrot too?

Love you Dr Holly!

Math is amazing. Who even discovers this stuff?!

@Cellkist

6 жыл бұрын

Soumil Sahu mathematicians

@SoumilSahu

6 жыл бұрын

+Cellkist obviously, but who goes out of their way to say, "today im gonna pull out the Fibonacci sequence out of a weird shape"

@axemenace6637

6 жыл бұрын

Soumil Sahu They don't. They explore a weird shape and say "Wow! Fibonacci sequence relates to it!" How do they find the weird shape to being with? Well, mathematicians make random problems up and hope they lead to something interesting. The Mandelbrot set was a lucky discovery!

@Pete-Logos

6 жыл бұрын

Soumil Sahu sometimes it's a Mathematician, sometimes a "non- Mathematician" notices a pattern and wants to know: "does this 'thing' ever stop or does it go on forever?" They may get bored of it, or keep studying it, or even become obsessed with it (especially if their pattern appears to present itself everywhere; it's a constant reminder.)

@JM-us3fr

6 жыл бұрын

People who think it's amazing

I just saw this live at the Cambridge maths open day. So cool!

Could you use this to calculate the mandelbrot set much more quickly? Are all the antenna roughly the same? This could have potential in fractal rendering programs.

Because we keep going between two fractions, does the fraction approach something?

@Zephei

6 жыл бұрын

trekky0623 I believe it approaches 1 - 1/φ, where φ is the golden ratio (1 + sqrt(5))/2.

@Myrslokstok

6 жыл бұрын

So when do we get a zoom in at the golden ratio?

@nasser101

6 жыл бұрын

Approaches 1

@alekisighl7599

5 жыл бұрын

zoom in infinitely and you will get the golden ratio.

*Brady always asks some great questions.* Correct me if im wrong but his qualifications are in engineering and not math(s)? He obviously has some math skills or at the very least a good math instinct, but how good are his actual math skills? Has he done any papers and if he has has he been cited much?

@bengineer8

6 жыл бұрын

he is a journalist

@NicosMind

6 жыл бұрын

Bengineer8 He is but im pretty sure ive heard before that he has a qualification in engineering. And most journalists dont know anything about maths. It got me wonderin

Not only is the maths in this really cool, but I also loved the cheeky Nail and Gear hiding in the background :)

How do the number of antenae match the denominator? It's also amazing how all the different fractions are arranged on the main cardioid, with decreasing size relative to the denominator.

Hey, thanks as always

Person: "what the heck happened to your mind?!" Me: "oh dont worry it was just blown"

Elegant, beautiful illustration of how math describes our universe. And, how most everything is connected. Thanks for the deep sense of awe I'm feeling right no.

OK, I see the Fibonacci series in the hyperbolic components along your circular transformation, but I still don't understand what it has to do with the number of antenna branches. Did I miss that, or did you forget to explain it?

You had me at Fibona..wow those eyes...

But why should the Mandelbrot set have tendrils that coincide with their Fibonacci position?! I feel like I was told I’d get an answer and all I got was an amazing new mystery

@angelmendez-rivera351

4 жыл бұрын

Rick Weber Isn't that all what answers are?

@Scurvebeard

4 жыл бұрын

That explanation just made me more confused. The explanation seems like an even crazier way for numbers to function.

Mind blown. Again. These videos are so amazing.

Fractal sets and the Fibonacci sequence seem to be a base geography of our world. In this video you seem to show that the Fibonacci sequence auto-magically flows out of the Mandelbrot set. Extremely fascinating, thanks.

She has one of the cutest laughs

@StopItGarrison

4 жыл бұрын

Your a creepy dude

@dmytronadtochyi9116

4 жыл бұрын

Michael Eaves what? Why?

@anthonymarcelino8460

3 жыл бұрын

@@dmytronadtochyi9116 haha incel

she is BACK

We also have the start of the Fibonacci numbers 0,1,1... in the complex plane. The zero in the centre can represent t=0 the moment of now in an individual reference frame. We also have negative 1 and positive 1 with a rotation 2π that is a constant represented by ħ=h/2π. Therefore we even have the start of the Fibonacci numbers 0,1,1,2,3,5,8,13,21... forming spiral on all levels of creation!

Gorgeous illuminating presentation :) thanks

Gotta love that 9:59

SHE BLINDED ME WITH SCIENCE!!

@GDQuaza

5 жыл бұрын

This is math, you’re even blinded by vocabulary.

@67PhilR

4 жыл бұрын

Thomas Dolby......luv science

If you found yourself in one of the branches or antennae (insert proper term) a few dozen iterations down like one of those zoom vids, could you calculate your way back out just by observing the area?

Please do more on the Mandelbrot set! You didn't mention the number in each little bulblet also happens to be the literal number of, er, numbers that repeats ad infinitum when calculating the recursion from a point within that bulb. I think. citation needed...

Dr. Haran really makes great questions

@WiseGuy508

6 жыл бұрын

He is not a doctor.

@alejandronq645

6 жыл бұрын

Wise Guy he is indeed

ik i dont understand what they are saying on numberphile but i still like to watch the videos

my mind is blown off right now. I am amazed and mesmerised almost ecstatic to find out the relation between Julia, Mendelbrot and Fibonacci Thanks a lot

I was wondering if Farey sums would come up! I loved that other video on them, too. :)

when shits stormy outside but a new numberphile video is up

I'm watching this on high, sounds awesome

Did I miss something? I understood the part about adding the numerators and denominators to locate the next „bump“ between bumps but I saw no explanation as to why these bumps would have the number of antennas they had corresponding to the Fibonacci series. Is that so?

I'd also like to see if the visible curvature of this Mandelbrot thing matches any part of a Fibonacci spiral. Like if you traced a Fibonacci spiral on to transparent film could you have a sizeable segment of arc that matches a section of the Mandelbrot set?

Ah, Dr. Krieger! Must be my lucky day!

@tomholt1080

4 жыл бұрын

@TheronQRamacharaka jeez chill haha

@fredflintstone9657

4 жыл бұрын

We should all be so lucky.

Math never ceases to amaze me.

So, when I was doing the mental math to see where 2/5 landed in relation to 1/3 and 1/2-"is that gonna fall between the two?-it helped to just divide the numerator and denominator by 2 so I have 1 divided by a number-is 2.5 between 2 and 3? Well, yeah. To get to my question, how "offensive" (or is it?) would it be to mathematicians to use decimals and fractions? (E.g. 1/2.5) Is that like nails on a chalkboard to mathematicians?

Question: This Fibonacci shows up on the left-hand side of the graph of the set, as all the odd numbers are represented there. But at the same time, exactly the same happens on the right-hand side with the even real numbers, right? As in: 2+4 gives 6. 6+4 gives 10. 10+6 .....and so on. Same thing!

This was very interesting and well presented 👍🏻

0:45 What's up with the up-arrow-paper appearing in all the videos lately? Oh, and 7:32 should be 1/2 + 1/2 = 2/4.

@zinnakatt8312

6 жыл бұрын

MasterHigure, That's funny, do more arithmetic.

@numberphile

6 жыл бұрын

Freshman Sum Freshman Sum!

@LastRellik

6 жыл бұрын

Baaahahahahahahahahajahahahahahahajajaja

@MasterHigure

6 жыл бұрын

I mean, you messed up a Freshman sum. That's basically a Parker freshman sum right there.

@Patrick_Bard

6 жыл бұрын

Yeah, you said that Freshman Sum was in a certain way and showed it differently.

8:51 Soooo, which blob should we be looking at for the 377 between the 144 and the 233?

Just noticed that at 6:07, the hyperbolic component labeled as 1/5 is actually the 1/4 component and the next largest one the right is actually the 1/5 component.

Nail and Gear!

But does 0 count as a fibonacci number?

@BradMcHelm

6 жыл бұрын

By definition, the first two Fibonacci numbers are 0 and 1, and each remaining number is the sum of the previous two. Some sources omit the initial 0, instead beginning the sequence with two 1s

@datojokhadze7860

6 жыл бұрын

there are 2 definitions,one says that F1=1 F2=1,the other says that F0=0 F1=1 F2=1.But i don't think that F0 makes any impact,so it's usually omitted

@jony4real

6 жыл бұрын

In fact, there is an often-forgotten version of the Fibonacci sequence made up entirely of 0's. You start with 0 + 0 = 0, then you add the last two numbers together to get 0 + 0 = 0, then again, 0 + 0 = 0, and so on. You end up with a series (0, 0, 0, 0, 0, 0, 0, 0, 0...) that looks boring but is actually found all the time in nature. For example, once somebody ate all my cookies, so I had 0 cookies, but the weird thing is, the next day I still had 0 cookies, and then the next day 0, and then 0... cool, right? Who says maths has no application to real life?

@gyro5d

6 жыл бұрын

Madder Sky; F0 = the inertial plane, before perturbation.

Starting with 2/5 and moving against 1/2 I will find /7, /9, /11 and so on. Going clockwise moving against 1/3 I get /8, /11, /14 and so on. It seems any fraction can be found, not only fibonacci fractions. It all depends on the direction pattern. The fib pattern is left, right, left,... The pattern I found is just left all the time. Or right.

What do you find at the 1/4 and 1/7 rays? What's the largest component between 1/2 and 2/5?

gurl, you made me accutally understand it

Please don't misunderstand me, I am always enthralled by the content of these videos. However, between Dr Holly Krieger, and the absolutely lovely Dr Hannah Fry, I could even watch with the sound off!

08:47 The "144" label is misplaced. The Mandelbrot zoom should focus on the space between the 55 and the 89 bud. But apart from that little slip-up, great video! I'm still undecided if that region of the M set should be called the Broccoral area or the Coralflower area (the structures between the buds get thinner and thinner, resembling corals), or maybe the Fiboccoli aisle. ;)

I love mathematics because there’s so much hidden beauty and unexpected patters recur in seemingly unrelated systems. One can keep digging deeper and deeper and still find unexpected patterns that’ll keep you busy for a lifetime... if you let it! :)