Mandelbrot Evolution

Mandelbrot Evolution - demonstrating connectedness

[@platypuschallenger]

"it never quite touches itself" im sorry but like

[@aussieandrew]

The thing is that its one line that never meets. Mind blowing

[@Caterblock]

@@aussieandrew i dont think they quite meant that..

[@jhonsillosanchez8494]

@@Caterblock it did

[@glitchy9613]

Lefr unknown

[@salvatorepitea5862]

When it thinks of you it touches itself ,,😂

[@AKAIMAX1]

Really cool with awesome visualizations of the set being drawn/folded in

[@anniepah2893]

me

[@pattig3507]

The Mandelbrot gets fatter.

[@blobthekat]

:0 i already knew this but its just mindblowing to think about and the visualisation is just so good

[@scares009]

Absolutely beautiful.

[@mrmanguydude]

Scares what are you doing here??!?!

[@scares009]

@@mrmanguydude I'm appreciating mathematical art, that's what I'm doing :)

[@mrmanguydude]

@@scares009 I see also i didn't think you'd reply

[@masterofthenewbrat.4275]

Uuuuu😭

[@bogdanostaficiuc6385]

@@masterofthenewbrat.4275 You k?

[@swankitydankity297]

Very well done!

[@salvatorepitea5862]

This explains it ,,wow ,, mind bending ,,mind blowing

[@mari0n333]

So, do you guys think it can all be outlined with one line? Jokes aside, this is one of the cooler Mandelbrot visualizations I’ve seen on KZbin. Loved it!

[@denelson83]

The Mandelbrot set is connected because it is a mapping of the closed unit disk. The equipotential curves around the Mandelbrot set are one-to-one mappings of the unit circle.

[@denissmith7671]

One line? I didn't get, can you repeat?

[@CommonCommiestudios]

This is how I describe my way of thinking to other people even though they would never understand anything

[@miners_haven]

Actually, in fractional powers in the Mandelbrot set have islands and hole

[@igorjosue8957]

yes but, the islands and holes would appear as if it had been cut like if there was an error there, and then full powers like 1,2,3,4... just connect 2 cut parts into 1 and the holes and islands become again a whole thing

[@glitchy9613]

Looks nice

[@gradf8678]

I like the animations and also the explaination was awesome

[@minigunth]

Someone: Squeezes the computer monitor

[@ioium299]

Look, Benoit Mandelbrot is growing!

[@Caterblock]

Yes we get it, it can all be outlined with 1 line!

[@busy_beaver]

FANTASTIC

[@zoz4864]

Hey *Hey* Hey, listen up There's something I want to tell you Something important Something you want to hear Something you need to know Can you guess what it is? Go ahead, guess. Really Go on, think about it I bet you've never been told this before . . . . . . . *ONE LINE OUTLINES IT ALL*

[@Ленад-е1ш]

Thank you my sun

[@igorjosue8957]

Ok, gonna also try to outline the burning ship with one line I think I found a problem...

[@CharlesJrPike]

I had a crazy idea some time ago. If the boundary of a fractal is a single (and as your animations show, differentiable) line, could it be possible to define fractals in terms of a wave equation? Let's define the boundary as every point (F(cos(f(x)),F(sin(f(x))), where F is the integral of cos(f(x)) or sin(f(x)) with respect to the fraction of the perimeter 'p' of the point's location on the boundary, f(x) is a function giving the angle in radians of the line at any point on the boundary (x), and F(cos(f(p))-F(cos(f(0)) = F(sin(f(p))-F(sin(f(0)) = 0. If you could define the equation f(x) which gives the the tangent at any point along the boundary, you could theoretically render the Mandelbrot set, or perhaps Julia sets as well, with a pass through a single equation.

[@mandelbrotevolution]

The question is beyond me, but I'm happy to guess! One issue may be the difficulty of defining the (theoretically infinite) perimeter in the first place. However, if you place a limit the number of iterations, your theory seems plausible. Perhaps starting with a very small number of iterations you might be able to test your ideas.

[@Helloimdumb]

@@mandelbrotevolution PLEASE SHOW US HOW TO MAKE THIS

[@pattig3507]

Yaremor712

[@pattig3507]

can't wait

[@СветаМаркарян]

Cool

[@elizabethojinal4228]

Mandelbrot is unique

[@SparkDragon42]

how many line do i need ?

[@cosmnik472]

Atleast 69

[@I-have_phonophobia]

Its 1

[@metafis2490]

Is it correct to say an infinite number of iterations would, theoretically, produce just yellow?...right into the centre?.

[@mandelbrotevolution]

No. While the set continues to "melt away", there are regions that will always remain and never melt. They look like smaller versions of the set itself. Every "mini Mandelbrot Set" will continue to be inside the set. More amazingly, all of the mini-brots will be connected by "filaments" of points inside the set. Or so it seems. Everything stays connected.All of the "bulbs" are permanent, but the edges melt and melt and melt (often producing more tiny bulbs).Spirals also seem to be infinite - they never finish melting.

[@KevinKurzsartdisplay]

That’s the magic of math, guys.

[@szktl1654]

Cool.

[@fourscoreand9884]

Is it still a "line" if it is infinite, though?

[@Not_what_it_used_to_be]

It is hypothetically infinite, but it is not possible to visualize it that way because you obviously can’t perform an infinite number of iterations. The line as visualized will always be finite.

[@fourscoreand9884]

Good answer. Thanks.

[@GabrielsEpicLifeofGoals]

@@fourscoreand9884 Yeah, they are like, infinitely thin lines...

[@fourscoreand9884]

@@GabrielsEpicLifeofGoals Are they?

[@aussieandrew]

@@fourscoreand9884 Is it possible that it is one line that never meets, wow hows that??

[@basilesaul860]

Hey look at the minibrot in the intro

[@igorekudashev]

cool but low quality :(

[@kapzduke]

2:30 Guess i'll stop watching this video because i've seen too many snail shells.

[@mendelovitch]

Uzumaki…?

[@kapzduke]

@@mendelovitch who's uzumaki also i don't remember making this comment

[@mendelovitch]

@@kapzduke The title of a Japanese horror story. Uzumaki is literally "spiral".

[@mendelovitch]

@@kapzduke The main premise is that seeing spirals makes you possessed with spirals.

[@tesscruzat5277]

2:30

[@creusianemoraes6422]

Time To Sleep

[@mikejones-vd3fg]

cool

[@creusianemoraes6422]

"Yaun"

[@kgratia4748]

Name of this vid = Channel name!!

[@firefoxlogo5140]

S U P E R I T E R A T I O N

[@creusianemoraes6422]

"Yawn"

[@paulkhoury5843]

Song name please?

[@mandelbrotevolution]

"With My Squiggle Out" walterbarry.bandcamp.com/track/with-my-squiggle-out

[@yellowjackets8011]

Only a single one line

[@aboandedaccount]

Or More

[@at4dayslaterafterkalteam994]

Number of powers not interations

[@elmobernardino7959]

But iteration

[@creusianemoraes6422]

Bý 3 Įţęřąįţįøņş

[@NamVu-im2xm]

Nah, I still hate math.

[@h-Films]

Nam Vũ 👿

[@EHMM]

@@h-Films que?

[@paullavelle8892]

...69th like btw...