The Mandelbrot Set is one of the most famous shapes in mathematics, and, like all fractals, it contains patterns at every zoom level. Learn more in our interactive course at mathigon.org/course/fractals
@@smaurtmon Maybe it's mathematics that follows nature, and not the other way around. Maybe mathematics is a man-made system and not an inherent part of the universe.
Fun fact if the highest mandelbrot set calculated existed with each pixel equalling one atom, the observable universe would not be large enough to fit the whole set
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.
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.
@@thederpling209 I am currently working on my own fractal zoom engine using perturbation theory and due to my research I can assure you, that that is indeed how such software works.
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! =)
well on my laptop (with rtx 3050) it takes a few ms to render a single 2k image multiply that by 6300 frames is about 20 seconds factor in that better gpus exist yourself
the thing with zooming is floating point precision, so you have to use some kind of special numbers that can do extremely high precision for it to be able to zoom attempted this on compute shader in unity, after zooming for a while it reached float' maximum precision
@@hexagon8899 6300 seconds is only what? 5.5 minutes just off the top of my head. Most of these videos are a lot longer. Though I can't recall how long this one specifically was. Of course, that number can always be scaled up, assuming it scales linearly. Thanks for the sort of benchmark to go on. No pun intended.
@@molor0824 I'm vaguely familiar with CS, so I understand what a floating precision number is, but I know it's remiss to assume prior knowledge when explaining things like this. I'm not too intimately familiar with computer programming concepts though so this information was useful. You provided me some terms I can look up in more detail, like how unity handle shaders. I know the words, but not how they work. Thanks for the response!
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.
Meraviglioso , la matematica sacra si esprime in progressione nella forma e nei colori più armoniosi manifestando amore e intelligenza in un tunnel di vita e verità 💖✝️🕎💟💖
Understandable question, but I don't see any chaos in this system at all. To my mind, this could be considered an illustration of "perfect" order. (and I agree with other comments here that "perfection" may well be impossible to define... as well as the word "flawed") As I see and understand the Mandlebrot Set, there is nothing random about it. It is thoroughly replicable, down to the last (sic) detail. and is defined specifically by a particular mathematical formula that regenerates the exact same results every time. So, no chaos here, although there is certainly plenty of amazement and beauty... :-)
You stopped it too soon. If you carry the numbers on far enough you see gods final message to his people... . . . . It's Rick Astley performing Never Gonna Give You Up
