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very much tom
Germany
Приєднався 23 чер 2013
𓆝 𓆟
The 4D Julia Set
Sorry for the wait, this took a while.
As previously hinted at I wanted to make a video on the mathematics behind the 4D Julia fractal, well here we finally are. This turned out way more research intensive than I anticipated which is why it only took a breezy three and a half months to make. Anyways hope y'all enjoy.
This video is part of #SoMePi / #SoMeπ .
Get the images and code here: drive.google.com/drive/folders/1Rd7TCvQeBQf-oDSHyaP8Oeoyo4M4FhJ0?usp=sharing
(Whilst the images are of course free for personal use if I see you reselling them on redbubble I will steal your bones)
The sources used can be found at the end of the video.
Music:
Bensound - Sleepless
Dan Bodan - Fortress Europe
Godmode - Traversing
JAde Wii - Miniscule Planet
LEMMiNO - Aloft
LEMMiNO - Biosignature
LEMMiNO - Cipher
LEMMiNO - Cosmic Solitude
LEMMiNO - Encounters
LEMMiNO - Firecrackers
LEMMiNO - Melancholy
LEMMiNO - Nocturnal
LEMMiNO - Siberian
CC BY-SA 4.0 for all of LEMMiNOs music
Sleepless license:
Music: Bensound
License code: E4UJCNKLPHK95GMF
As previously hinted at I wanted to make a video on the mathematics behind the 4D Julia fractal, well here we finally are. This turned out way more research intensive than I anticipated which is why it only took a breezy three and a half months to make. Anyways hope y'all enjoy.
This video is part of #SoMePi / #SoMeπ .
Get the images and code here: drive.google.com/drive/folders/1Rd7TCvQeBQf-oDSHyaP8Oeoyo4M4FhJ0?usp=sharing
(Whilst the images are of course free for personal use if I see you reselling them on redbubble I will steal your bones)
The sources used can be found at the end of the video.
Music:
Bensound - Sleepless
Dan Bodan - Fortress Europe
Godmode - Traversing
JAde Wii - Miniscule Planet
LEMMiNO - Aloft
LEMMiNO - Biosignature
LEMMiNO - Cipher
LEMMiNO - Cosmic Solitude
LEMMiNO - Encounters
LEMMiNO - Firecrackers
LEMMiNO - Melancholy
LEMMiNO - Nocturnal
LEMMiNO - Siberian
CC BY-SA 4.0 for all of LEMMiNOs music
Sleepless license:
Music: Bensound
License code: E4UJCNKLPHK95GMF
Переглядів: 23 495
Відео
The Mandelbrot Fractals Weird Cousins
Переглядів 1,2 тис.8 місяців тому
I really wanted to talk a bit about the Mandelbrot fractal, but since there are already so many great videos on the topic I instead opted to talk about some of the lesser known, but still related, fractals :) Images can be downloaded here: drive.google.com/drive/folders/12HifiiRnZ0p6QYpO8BblNdb1r4AlLK0W?usp=sharing . . . . JJJreact approved :)
Finding Strange Attractors
Переглядів 11 тис.11 місяців тому
After playing with randomly created strange attractors for a bit in recent times, I thought making a short introduction video could be fun, so here it is :) This also is my entry for #some3
Polynomial Attractor No.6
Переглядів 26511 місяців тому
Alright final one, sorry for the spam :D But as this one isn't automatically flagged as a short I think this discription has the highest chance of being read, so I want to again thank Paul Bourke for writing the blog post(s) those are inspired by.
Blender Objekt Zerschneiden - Quicktipp
Переглядів 19 тис.8 років тому
Hier ein ganz kurzes Tutorial wie man ein Objekt in Blender zerschneidet. Funktioniert natürlich auch mit anderen Objekten. Wenn es euch gefallen hat wär ein Daumen hoch super -Tom
digger, watn video!
Brilliant video! This actually helps me so much with how to image n-dimensional vector spaces. Keep up the awesome work
golden video, seriously the quality is insane please have millions of views
a random video a decade and a half ago that I saw on a random website I had stumbled upon was that of a Quaternionic Julia set, it made me fall in love with mathematics, in about a weeks time I am defending my doctorates thesis at the French ENS ULM on Iwasawa theory, what a nostalgic video this was, thank you!
With infinite regression and symmetry based shapes, one can speculate that 4d and 5d are real
btw, dont worry about the naming of the Buddhabrot. Buddha get's it 😉 It's not like 'the others' 😆
He didn't even show the 4d Julia Set! jk 😆
Figure this shit out...if we all throw money at him itl work lol
Yes take my money lol
Holy shit! I've been curious about the Quaternion Julia for like 2 years now, but haven't actually tried to implement it. You explained the process well, and the results... Beautiful! In the future you could try experimenting with orbit traps as well. I remember some of Inigo Quilez' images being amazing.
Is the Julia set written in Julia language???
I wrote my little program in Julia, yes :)
"What is i times j"? *the beat drops*
Beautiful video, it must’ve taken ages to do all this work, you should be proud of yourself
Tolles Albumcover! Hab franc7s zwar nicht direkt gefunden, aber ab sofort +1 monatliche Hörer 😌
Loved the subject, mood, aesthetics… A pleasure to watch, and inspirational. Hated to type the references on google though 😝 Please, put them in the description :-)
Fantastic Video. Dont get so see such beautiful math animations like these very often. Very cool watch and excellent explanation
loved this, your style is very similar to the youtuber named MAKiT
This is fuking insane. definitely one of the top 10 UA-cam videos imo. You break down complex topics and make them easily understandable and you dont assume that we know anything. Thank you for giving us this beautiful video.
Anyone else think a lot of the images look biological? Branching and rejoining curves, bundles of fibers, etc.
my roommate thinks that as well, she doesn’t like the ones colored red because they, in her opinion, look like muscle fibers :D
Everything lives in 4 dimensions! The 4th dimension is time. You spanner.
There’s a difference between the 3+1 physical dimensions as described by general relativity and the dimensionality of some vector space. You have a bachelors in computer science, you should know this.
@@boi_howdy while spatial space corresponds to intuitive three dimensions, vector spaces can have different dimensions depending on the number of independent basis vectors required. Dimensionality extends beyond physical experience and plays a role in various mathematical and scientific contexts including the julia set, which exists in 3+1 space already. Happy?
That was fascinating
subscribed!
ah yes i too also go into pure math when playing with calculators then proceed to explain fractals
Magic stuff! Interesting and beautiful.
very nice to see someone go through the same journey I went through after stumbling across inigo quilez' articles. It took me a while to understand the distance field derivations but after you realise how it works your mind is finally opened up to a lot of 3d fractal ideas
why does he only have only 2k subs
🧞 Stop making Another masterpiece.
Not expecting your look, good solid maths from SonReal, if you don't know him, look up "Can I get a Witness"
"Jesus Christ what am I doing with my [effing] life?" I'll tell you what you're doing: 1) Something that you love. 2) Wading in the beach of a mathematical sea, towards future insights into areas of knowledge that we cannot yet even begin to glimpse, the way imaginary numbers were conceived a century and a half before it was realized they perfectly described subatomic particle spin. These mathematically rigorous visualizations are unique, their reliance on computational power and programming skills to be created make them something new in the human experience, which give them an almost mystical quality.
Does it means 3d Julia set can only be made by “slice” from 4d Julia set? Is it possible we create a “n number system” to solve the infinite dimension of Julia set
Correct, the type of behaviour we want from a number system to create julia sets can’t be achieved in 3D, that’s why we have to use four. You can also further increase the number of dimensions but the needed number system, so called hypercomplex numbers, can only be formulated in 2^n dimensions so 2,4,8,16… dimensions. The higher the number of dimensions the more properties you loose: for quaterions (4D) you loose commutativity, for octonions (8D) you loose associativity, but theoretically you could keep going.
Somehow, I feel sad about the fact that we are all behind higher dimensions, and we are just experiencing the projection from higher dimensions. For a long time, we have been trapped in Euclidean geometry mathematics based on what we have experienced, but in fact, Non-Euclidean geometry is a more accurate way to describe our universe, thanks to Albert Einstein.
this is legit beautiful i'm curious to know what it is and how you made it
Thank you! I have a video explaining the topic called “Finding strange attractors” give that a watch for more info :)
Just discovered your channel and I can say I will certainly enjoy watching all your videos. Subscribed
I wonder if something like a 4th dimension could explain Quantum Entanglement.
no i cant then i get matz adicred agian
fratals are to much tien i cant stop it anymore
but i realy want to
un dont understand if you pay mie for it i make 1 side matz each day
if oyu pay me i cant top it evne if it kilsl me
okey what do you weant to know ?
if feels like cheaing i started probablities age 7
but usign pen and paper feels like cheaing
but for enought money cheat
no if you want ti imagien 5 dimensions you jsut imagine 2 cubs with diffrent fuctions
how can a liumes diverge by 8% from its approiximation ?
okey but if it swing between 2 values as the same imput the calculater assumes 2 diffrent spaces
4 example a pure thermical spcale and z<yz space
love this
Wow, this is such a quality content!
This was insanely fucking cool!
spectacular!
Insane good job here ! Come have a look at what we do with other 4D Fractals :)
Charli XCX be like:
Amazing. Subbed
This is one of my favorite fractals! As you probably know, it's very slow to render normally due to how many samples are needed, but I was able to run them on a GPU with CUDA which is much faster albeit tricky to setup and program.
Your channel is so awesome!! Learning about all this :) Thank you