Mandelbrot Zoom Sequence

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thanks for not putting some annoying music behind this. just pure, beautiful math visualizations.

mrRicearoni
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Still blows me away when i see this thing. It looks so crazily natural, with all the curves and patterns, yet is completely mathematical.

shipweck
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props to the camera man for going to a molecular level to film this for us.

prakhyatkethamukkala
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Fractal zooms are the most beautiful zooms that anyone could create.

CesareVesdani
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I've always loved how you can find mini mandelbrot sets all around it 0:36

Aladato
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this gave me an optical illusion and now my monitor is shrinking help

specialk
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This is how I think of the universe. Infinite zoom both in and out….

scupking
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I have a 165HZ monitor. And I knew this from Passmark's benchmark. When it runs the Mandlebrot the effects are LSD levels of stunning

DemonLordGamingAC
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There’s a part when I first saw this in math class where I saw the Buddha. It was like an outline of his meditation 🧘 pose. I tripped so hard out loud in class when I recognised it. Also it made sense it would have a connection into the realm of math and nature at the same time. I was so excited I couldn’t stop drawing it in art class and drawing Buddha next to the fractal, a side by side, I showed my math teacher and philosophy teacher both were impressed by the similarities.

jls
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Salve a tutti.

Sono pensionato da poco e mi sto divertendo a generare le immagini del mandelbrot classico.
Ho notato 3 cose in questo video:

1- la profondità dello zoom mi pare vada oltre la risoluzione delle 15..16 cifre
del double-floating point, è una mia sensazione.
Per quel che ho sperimentato fin ora,
ho visto che piu si scende in profondità,
più cifre e più iterazioni sono necessarie,
e di conseguenza piu tempo di calcolo.
Questo mi fà pensare che il video così fluido (e bellissimo!)
sia stato fatto con una sequenza di immagini,
che va benissimo, intendiamoci.


2- la sfumatura delle zone limitrofe.
Utilizzando semplicemente solo il valore di escape-point per definire un colore,
si ottengono delle zone delimitate,
per sfumarle ho trovato un video che fa vedere come fare
tenendo conto del logaritmo della distanza in eccesso al raggio limite.

3- quello che non ho ancora trovato come fare
(che vedo qui al minuto 0:50, e che ho visto in qualche rara immagine):
sono i ghirigori nella zona intermedia.

Chissà se lo scoprirò prima di tornare a casa nel modo dei più :)

Ok.
In ogni caso un grazie di cuore.
Ciao :)
Arturo.

arturotramontini
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I think I just hallucinated and Im completely sober

hetfieldprophet
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Are you slightly shifting the center interactively? Is there a mathematical way to choose a point that will always have activity?

bartontenants
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I'm just wondering out of curiosity, how long did this take to generate the fractal and then render this video? And computer specs would be appreciate for context since a higher end computer could do it much faster. I'm just curious as to the amount of processing power required to generate a video like this. And also what program you used to generate these fractals, since different different programs will probably generate them with varying degrees of efficiency. And finally, thanks for taking the time to make and share this. Cheers, and all the best! =)

VoidHalo
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So this is what infinity looks like...

Atajew
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i noticed at the end of the video, for me, it looks like it starts to zoom back out a little. but that actually just a neat optical illusion.

Sage_the_Turt
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It's truly astounding for one to watch this and still deny the existence of an all-powerful God.

CelticGamer
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"Domain expansion, mandelbrot set"

mufidaltsaqib
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okay after staring at the video for its full length, when I scrolled down to the comments the comments seemed to be zooming out

bbsonjohn
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Deus é realmente o maior, eu repito, O MAIOR Gênio que já existiu. Veja essas formas infinitamente se transformando e com padrões diferentes. É maravilhoso.

jonhprime
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this is one of the ways they write the software which helps to make things fly through space now, and most notably, in the future....

brianuphoff