Sequences 7: Fractals 1

[1749229471]

3:52 never knew ferns could walk

[1749229471]

4:00 never knew ferns had legs

[xxxrrrxxxrrr]

I now get it where the triforce comes. WOW

[TheMasterSergeant1]

Very interesting .

[8Mima5]

I, who usually never enjoyed maths at school, find this intuitively compelling and fascinating.

[xXShadowRejectsXx]

good video!

[Jacper60]

triforce

[garrrrrrrrettttttttt]

newfags CAN triforce

[stereotomyalan]

thanks doc!, now ---BACK TO THE FUTURE---->

[goldfeatherable]

this is the serpinski triangle :)

[gangoffour1]

I am a mathamatical idiot and so this has been the best explanation yet. So, how many 3/4 sequences have to happen before you get back to 0? Perhaps I stilll don't understand.

Thank you

[jonoroxxx]

@gangoffour1 An infinite number of them. The area never really is zero, it just gets closer and closer to zero as the number of stages gets bigger.

[neogeo328]

@gangoffour1 The area tends to zero, but never does reach zero. He only says we have zero area as the stages go to infinity, but we really don't. The area gets infinitely small, and the only way we will actually have a zero area from a non zero area is to multiply that by 0; which is not the case since we're always multiplying by 3/4.

[kingkeato]

That was very helpful thankyou!

[CreamofFetus]

TRIFORCE!!111!11!

[crowman131]

The universe is integrating. Maths is everything. We should all do maths. It's really awesome shit

[weezyFshady]

3:00... DNA

[brthdysuit]

this actually blows the big bang theory all to blazes, we are not expanding from an explosion but infinitly growing in all directions,more like a plant than an explosion, even universes are fractuals and fractals put a different spin on evalution we dont come from apes we came after apes in a new fractal always growing in similar growth

[moffboffjoe]

@brthdysuit are you high?

[Louisdagod3]

@moffboffjoe lol

[Benimation]

triforce #LOL

[crazycagada]

when i did shrooms i saw many fractal figures

[sk8tboarder18]

Thank you, sir.



[100CommonCents]

lol @ 0:45 i was reminded of zelda, and played that instead

[trombilly]

I love this kind of thing........ pleasing to the soul, like learning the code to the answer to everything, we just have to incorporate some of the principles of this understanding into our man made systems and stop letting our polititians ego's and greed get the better of us.

[Agalynet]

3:53

I've never seen a fern walk around before.

[anthonyc3po]

how can dividing by  0.75 at each stage, ever get a result of 0? it cant !

[multicolor0]

@anthonyc3po if you divide any fraction once by 0.75 it cant equal 0, but if you CONTINUOUSLY divide any fraction by 0.75 it can never equal a number so therefore it must be 0

[Yodovannn]

@anthonyc3po first it's multiplication by 3/4. Second, we have infinitely many multiplications by 3/4 which is 3^n/4^n n->infinity, the fraction ->0. If u don't believe in math take a calculator, type 3^20 / 4^20 and see it for yourself.

[LaBellaa1984]

Maybe White is dominant in energy, philosopically, the light overshines the black! what happens if you switch colors in the triangle? WHITE WINS!! CRAZY!

[LaBellaa1984]

funny it all turns white at the end starting with 3/4 black, or isn't he saying that? Plz explain!

[LaBellaa1984]

he means it all turns white?

[Yodovannn]

@LaBellaa1984 no. he meant in the end (technically there is never gonna b an end to this) all you get is a white triangle with infinitely many lines in it.

[gregryf]

This is interesting but so what? On a practical level, what good does it do to know this?

[KatrinaKingsOfLeon]

Is what you ended up drawing also an apollonian gasket?

[falconhairdo]

triforce!

[PosterboyforPinatas]

HOLY (Bleep) this was posted on my birthday, I must learn this. 4-29-86

[furyberserk]

My best friend divided by zero and simultaneously imploded. But I divided infinity by 0 and now I'm a god, at least long enough to bring my friend back... before god kicked me out. Now I'm sad D:

[jalalikitchi1]

thanks

[jpat911]

"infinite perimeter enclosing zero area"... awesome!

[Acadian1657]

0:43 is totally the triforce and we should remember that video games are this generations way of passing on information.

[123feyd]

triforce

[Acadian1657]

@123feyd 1:30 is the tri-triforce

[PoirierMike]

I never seen this level of quality of teaching in public school. The masses would greatly benefit to have teachers like you. Able to explain concepts as clearly and simply, while making it interesting to follow?! Thank you, for freely sharing. Mike

[butterfliwashere]

Congratulations, sir. You just used mathematics to triforce.

[MuXBoX]

The formula can never hit zero. It will achieve infinitely small but never zero.

[fl260]

@MuXBoX Yeah, that's what I thought... I guess he meant "theorically", but still!

[MuXBoX]

The formula can never hit zero. It will achieve infinitely small but never zero.

[master23401]

@MuXBoX Indeed, but what he says is that the area goes toward infinity while you keep repeating the process, and if you could repeat it infinity times, which is impossible since infinite ain't really a number, you would achieve a figure with area equals to 0.

[enkhuizenddg]

It's the triforce! Nintendo is doing maths too ;)

[URZeroGravity]

This is totally awesome! ▲

▲ ▲

[chuckinator0]

the geometric series sum[n,o,infinity](3/4)^n converges to 1/(1-3/4). That's equal to 4. That means that if you were to add up all the areas of all infinity of those triangle patters, you'd get a total area of 4. Pretty cool.

[chuckinator0]

Triforce!

[vk92007]

Good job Professor. You explained it very well, specially to the layman like me and others

[AnHeroDesu]

O SHI-

HE JUST TRIFORCED!

[Vyraji]

newfags CAN triforce

[AnHeroDesu]

he looks rather seasoned to me

[daringdarius]

one more thing can you post a vid on how to calculate the perimeter of the triangles.

[daringdarius]

oh my god you save my fucking ass! thank you sooo much :) keep on making math videos. i understood very clearly

[glgamecoder]

Iv never seen a fern walking around.

[OrangeTang666]

@glgamecoder I have.

[nuchamber]

unfortunate error in analysis with that "assuming" concept that "zero" will be reached the further you fragment...

[imkb010]

What's the error? The limit as n approaches infinity of (3/4)^n = 0

[mortinus00]

How is it possible to be that accurate with a dry marker eraser?? Must have lased an edge on it or something :-p

[chipdouglas42]

Great thanks

[nickharvey7]

Very good video!

In my video The Paradox of Schrodingers Cat an artist view. Time has symmetry and geometry that can explain the paradoxes of Quantum Physics. Could an understanding of the time continuum also give us a greater understanding of fractals?

[ebola111]

He can triforce.

[Odim2010]

ما شاء الله

اود لو ان النترنت يمتلا بعلم جميل مثل هذا

oh god

i hope that the internet is full with a sience like this

thank you prof

[PunkyBurger]

@Odim2010 awesome.

[pirenne]

u rock!

[eyeojo]

Excellent eraser control Prof!

[Nanumir]

yes suhr! he's good isn't he

[Nanumir]

zero area but infinite perimeter wow!

[AllFractUp]

Sounds like the Barak Obama Health deform plan or our national budget :P

[elementoxygen]

Great work. Bet that was a lot of shading in and erasing to do, but helped a lot :D

[hadddzzz]

Thanks,

Very informative...

[XBLMastrodicasa]

I just did something like this in my calc BC class.

Finding the S subunit n as n approaches infinity.

[GATOCUY]

esta como cañon, algo que voy a enseñar en mi colegio nacional lo mejor del peru

[LuminousWorld]

TRIFORCE!!!

[SanchezAfricano]

I saw a fern walking around....along with his walking tree buddies.............

[JuniorX]

i love how u can get so many good information on youtube, thank you!! =)

[jackspicer9590]

it's the triforce! i mean fractals

[Mources]

Just what I thought hehe. Woo!

[Jonnymont]

bravo best videos on youtube mate

[Jonnymont]

yaya zelda!

[GRX13]

I would love to see the Dragon Curve!

[TamesisNamesis]

The function of the Fractal approaches zero, but never reaches zero.

[GRX13]

like f(x)=1/x^n, n>0

[TamesisNamesis]

well N can be zero since anything raised to 0th power is 1. However given f(x)= 1/x The function approaches zero from negative infinity and positive infinity, but never is zero.

[GRX13]

But if n=1, f(x) never approaches zero.

[Killersuv123]

Your the best!! keep it up!.

[smergibblegibberish]

I doubt that the triangle's area would ever reach zero without rounding down.

[TamesisNamesis]

You are correct.

[abbesieyes]

Fair enough...thanks for the speedy reply. ;~)

[abbesieyes]

And perhaps I should have said 'the difference between parabolic algorithm and self similarity' to be clearer. What is the demarkation line between the two?

[MathTV]

I wish I knew the answer to your question. What I know about fractals is on the video. Maybe there is some information on the Internet that will help.

[abbesieyes]

A question for you sir. How would one reverse engineer a fractal for the curve it implies? As Sierpinski's algorithm began as a curve, does that make his trema's topology representative of said? I'll admit to getting a bit confused with the difference between exponentialism and self similarity.

[tanpham7411]

excellent explaining skillls sir, thank you.

[jeanotho]

GOD is a genius !!! thanks to him ;)

[Michel290389]

That was another interesting video. Thanks!

[kentorwow]

zelda

[assimptotico]

I just finished Mandelbrot's "Fractal Objects",

the video came in the right time. Thanks

[maylien]

Love, love, LOVE it!

[AdamMACHI]

make a triforce, lol. Good job though. I always enjoy his videos.

[Peacerich15]

Very intresting.

[blackberryjuice1]

I love how math teachers constantly apologize for their drawing skills.

[GRX13]

Most smart people can't draw, and have you tried to read a doctor's writing? lol

[system0slaven]

you can find a great documentary about fractals on google video

If you want to know more about fractals

[gocaca]

very very good

[scientistwriter]

COOL!!!

I didn't know this!

[ylenolsreppeptgs]

please do mandelbrot

Thanks

[Synopsism]

so many triangles 0_0

[Zendukai]

yep, enjoyed it, keep em coming sir.