Dragon Fractal

[Zap525]

A form of art using math!

[SchnackDaBabs]

"..imagine you fold the paper infinite times, and in the end.." Question: what exactly is THE END?

[chriswilliamstool]

phantom effect in fractions, cool, i draw these but starting from the center going outwards and the outsides fit the coped effect over and over, eventually it creates a circle with diamond clarity, its awsome, must be a gift to craft gems and stones, gonna stick with drawing, never get that job 0_o

[lukiclovur]

I am going to master this, i have to.

[philsnk]

Linegod's. Linegod of Star Ocean, Sir.

[fractaldragon]

I really enjoyed this, another way of looking at a fractal and seeing how the construction works. Thank you!

[jeffreyventuragdgs]

Son of a bitch, recover from your cold faster!

[folltron]

Good stuff! What is the name of the music you used? I cant remember it for the life of me!!!!

[McT0nny]

what is this whole thing for ? O_O

[barrychristianson]

Not so weird.I mean fractals that is.Some people keep pets.You obviously love fractals, the friends of all mankind.Snowflakes,heart shapes,leaves,tree shapes and on and on.Been a few years since I looked them up and read up on them but fractals are fascinating.

[jarapunco]

i hate u

[LaBellaa1984]

nothing ever ends nothing is ever finished you calculator is dumb!

[IVIrIVIajic11]

OMG THATS WHERE THE TRIFORCE COMES FROM

[Iskander299]

you do know that 1.618 is the scale of beauty?

[andersv20]

Hmm.. Fractal art. If there were an exhibition, who would be the artist?

[makersmark90]

@andersv20 clearly it would be god.....rotflmfao............

[andersv20]

@makersmark90 Well, but that pushes the question. The fractals arise out of logical necessity; does that mean God is elevated above logic? 

[LaBellaa1984]

@andersv20 yes it's amazing, who designed that shit, i guess some existance before the humans and earth.

[PlayItAgainTubeSam]

Thanks for posting! The paper folding analogy 1:00 explained it all... finaly! ^^

Isn't this the same fractal used in the SF novel Jurassic Park by M. Crichton? o°P

The star nebula version of the Mandelbrott at the end is really beautiful!

[FOX74647]

7:52 - THE TRIFORCE OF TRIFORCES!!!

[snoopyluvr111]

o.O so glad I watched this ^^

You're one cool nerd

[elie9611]

very interesting and nice presentation, at least i have learned something new

[Halosean]

Bill Nye The Science Guy!

[LordEmilous]

thanks man! Always wanted to draw fractals but I never quite understand how I should draw them xD

[POEEPOPE]

Thank you, I've been trying to remember the triangle method. Very helpful!

[MightyBass101]

how do you make the video @ 1:22

[Enochian13]

Captcaveman: actually, Britney Gallivan wrote and proofed an equation proving you can fold a piece of paper Nth amount of times, so long as it's the correct length. She won an award for it, as well, i believe. Just another urban myth.

[amethyst8teen]

This thing does take a long time to draw by hand... I drew one in my notebook and it took my almost 4 hours...

[pynepyne]

jurrasic park

[sifterbox]

you can only fold paper or anything 7 times never 8 ry it my teacher taught me this in art class MR BRADDOCK GIRARD PA 5th grade

[danielatha4]

mythbusters disproved that

[KernsNoel]

Hey Daniel, What did the mythbusters Disprove?

Since your responce Doesn't appear to be a reply to someone (youtube is being wierd with replys)

[danielatha4]

i think someone said the common myth that u cant fold a piece of paper a certain amount of times or whatever.

[Yodovannn]

@KernsNoel they disproved Daniel had a brain

[LaBellaa1984]

@danielatha4 what did they disaproved, that you can draw fractals?

[iBlindGame]

@danielatha4 Cute, except MythBusters really sucks for causing people to believe wrong things. Not scientific! watch?v=5d5iIoCiI8g

[Yodovannn]

@danielatha4 have mythbusters disproved lim (1+1/n)^n=e yet?

[Desrathedemon]

Tell that to Britney Gallivan

[brapp3470]

MANDELBROT sUcKs

[velvetcat]

Of course I have a paper that I can fold in half infinitely many times. :)

[captcaveman4201]

its a fact that no matter the size of the paper you cannot fold more then 8 times

[Razputin53]

@captcaveman4201 The mythbusters proved that wrong by folding it 11 times. Its not impossible its just f*ckin hard.

[captcaveman4201]

@Razputin53 fuck mythbusters.. they are assclowns!

[Razputin53]

@captcaveman4201 They recorded themselves doing it.... 11 folds.

[captcaveman4201]

@Razputin53 yea 11 is the number.. im calling them assclowns from when they said hydrogen can't be used to run a car.

[SpyroxCynder]

my favorite is the Julia set

[jelleoelle]

That's not a right angle. So the video is stretched.

[slipcurve]

I've never seen fractals drawn by hand before. I'm not surpriced you didn't finish it (well technically finishing it would be impossible).

Recursion for teh win!

[Broadsmile1987]

He got bored! LOL! I saw it coming ! : D

But it looked quite nice drawn manually!

[turxxx]

The flu and cold are two different conditions.

[jesusnthedaisychain]

Isn't that the fractal that's in Jurassic Park?

[VestriDeusEstMortuus]

Do this on graph paper, it's much faster. you will find that the starting point of a 90º will be 1 units from the iterations end at 180º bearing, 1 diagonal units at 125, 2 at 270, 2 at 315, 4 at 0/360, 4 at 45, 8 at90, 8 at 135, etc. This way, you can chart out the points, then, slowly draw them.

[VestriDeusEstMortuus]

Great vid. I figured out the dragon curve 90º by looking at several samples though, it took me a heck of a lot of time. I wish i found this vid earlier.

[grasshopa]

What software do you use?

[Yesitis808]

wow....a bit time consuming for me...its mathematically awesome but theres got to be an easier way.

[adededelina]

Awesome. Thanks.

[gasaron]

Great vid. really helped with math homework!

[raquibbi]

i know right

[Mystria]

That is beautiful.

Thank you :D

[sandieblack]

dragon factalicious!

[tom8008135]

Thanks! Are the spirals golden?

[TheMathGuy]

Nope! I could see how they might look so however, since they are close to being golden: A golden spiral's radius is multiplied by a factor of φ (≈1.618) for every 90° of rotation. These spirals' radii are multiplied by a factor of 2 for every 90° of rotation.

[JonathanWKnight]

i looked at this problem, for a short while. I have what i believe is the solution.

But no way of testing it.

Excellent video.

[teokkpp]

Hey, Electric Sheep, real neat thingy for fractals.

[djliokiok]

hey hey u shut up u SHUT UP haha smart ass ur name should be the smartass guy haha i like ur vids "SUBSCRIBE"

[obborot]

wooooooooooooooooooooooooooooo­ooooooooooooow, you made me think of something, if i had one wish i would wish for a paper that hade been folded infinitly...

this is awesome, it is like art.

[Quarkinator2]

very interesting

[Practizzle]

SWEET!!

[tlg847]

That was very cool! And nicely presented. Very pleased that you subscribed to my videos. Thanks.

[deadlaughter2]

Group theory! - I had to look it up, forgot the name. Maybe something on that.

[deadlaughter2]

Now we're talkin! I love shit like this. More cool vids like this please on cool math concepts. I'd personally like to hear your perspective on concepts like solving elemnetary differential equations. linear algebra, the mathematical principles behind Maxwell's, Einstein's & Schrodinger's equation(s), etc. Also maybe you can share & discuss some of the problesm you work on as a grad student.

[bottledlife]

That's really cool. I'll probably come back to this and try to draw it myself.

[bottledlife]

That's really cool! I'll probably come back to this and try drawing one myself.

[CleverDjembe]

Mathematics as art. Really interesting!

[tippingpts]

i'm actually reading a financial book by Benoit Mandelbrot.