golden video, seriously the quality is insane please have millions of views
@meursault13710 сағат бұрын
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!
@Mysteries-revealed2 күн бұрын
With infinite regression and symmetry based shapes, one can speculate that 4d and 5d are real
@harriehausenman86232 күн бұрын
btw, dont worry about the naming of the Buddhabrot. Buddha get's it 😉 It's not like 'the others' 😆
@harriehausenman86232 күн бұрын
He didn't even show the 4d Julia Set! jk 😆
@scooterspencer90773 күн бұрын
Figure this shit out...if we all throw money at him itl work lol
@scooterspencer90773 күн бұрын
Yes take my money lol
@onnio79984 күн бұрын
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.
@StevenSiew26 күн бұрын
Is the Julia set written in Julia language???
@boi_howdy5 күн бұрын
I wrote my little program in Julia, yes :)
@DelandaBaudLacanian12 күн бұрын
"What is i times j"? *the beat drops*
@lucamorgese747512 күн бұрын
Beautiful video, it must’ve taken ages to do all this work, you should be proud of yourself
@lukaswagner898813 күн бұрын
Tolles Albumcover! Hab franc7s zwar nicht direkt gefunden, aber ab sofort +1 monatliche Hörer 😌
@qwkutiub16 күн бұрын
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 :-)
@stankycheese677717 күн бұрын
Fantastic Video. Dont get so see such beautiful math animations like these very often. Very cool watch and excellent explanation
@4sk3wrecital18 күн бұрын
loved this, your style is very similar to the youtuber named MAKiT
@HaiderAli-wm6mq18 күн бұрын
This is fuking insane. definitely one of the top 10 KZread 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.
@priestessofchaos43019 күн бұрын
Anyone else think a lot of the images look biological? Branching and rejoining curves, bundles of fibers, etc.
@boi_howdy18 күн бұрын
my roommate thinks that as well, she doesn’t like the ones colored red because they, in her opinion, look like muscle fibers :D
@mrhassell19 күн бұрын
Everything lives in 4 dimensions! The 4th dimension is time. You spanner.
@boi_howdy19 күн бұрын
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.
@mrhassell19 күн бұрын
@@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?
@mategido19 күн бұрын
That was fascinating
@Finnnicus19 күн бұрын
subscribed!
@TestAccountUndetailed-dd7vp20 күн бұрын
ah yes i too also go into pure math when playing with calculators then proceed to explain fractals
@bennyloodts549720 күн бұрын
Magic stuff! Interesting and beautiful.
@incription20 күн бұрын
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
@govindagarwal331020 күн бұрын
why does he only have only 2k subs
@PravdaSeed20 күн бұрын
🧞 Stop making Another masterpiece.
@HomeMadeBoards20 күн бұрын
Not expecting your look, good solid maths from SonReal, if you don't know him, look up "Can I get a Witness"
@ernestolombardo581121 күн бұрын
"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.
@rockman194221 күн бұрын
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
@boi_howdy19 күн бұрын
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.
@rockman194219 күн бұрын
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.
@GenericInternetter21 күн бұрын
this is legit beautiful i'm curious to know what it is and how you made it
@boi_howdy21 күн бұрын
Thank you! I have a video explaining the topic called “Finding strange attractors” give that a watch for more info :)
@nsgcommando286121 күн бұрын
Just discovered your channel and I can say I will certainly enjoy watching all your videos. Subscribed
@srb2001200121 күн бұрын
I wonder if something like a 4th dimension could explain Quantum Entanglement.
@ulyssesk732522 күн бұрын
no i cant then i get matz adicred agian
@ulyssesk732522 күн бұрын
fratals are to much tien i cant stop it anymore
@ulyssesk732522 күн бұрын
but i realy want to
@ulyssesk732522 күн бұрын
un dont understand if you pay mie for it i make 1 side matz each day
@ulyssesk732522 күн бұрын
if oyu pay me i cant top it evne if it kilsl me
@ulyssesk732522 күн бұрын
okey what do you weant to know ?
@ulyssesk732522 күн бұрын
if feels like cheaing i started probablities age 7
@ulyssesk732522 күн бұрын
but usign pen and paper feels like cheaing
@ulyssesk732522 күн бұрын
but for enought money cheat
@ulyssesk732522 күн бұрын
no if you want ti imagien 5 dimensions you jsut imagine 2 cubs with diffrent fuctions
@ulyssesk732522 күн бұрын
how can a liumes diverge by 8% from its approiximation ?
@ulyssesk732522 күн бұрын
okey but if it swing between 2 values as the same imput the calculater assumes 2 diffrent spaces
@ulyssesk732522 күн бұрын
4 example a pure thermical spcale and z<yz space
@bobbilly882122 күн бұрын
love this
@DadicekCz22 күн бұрын
Wow, this is such a quality content!
@6Azamorn922 күн бұрын
This was insanely fucking cool!
@WengineerKimProductions22 күн бұрын
spectacular!
@MachinaInfinitum23 күн бұрын
Insane good job here ! Come have a look at what we do with other 4D Fractals :)
@lightspeedbeast23 күн бұрын
Charli XCX be like:
@duytdl23 күн бұрын
Amazing. Subbed
@jmiller606624 күн бұрын
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.
@Pingu_astrocat2124 күн бұрын
Your channel is so awesome!! Learning about all this :) Thank you
@borisadimov24 күн бұрын
❤
@robert_trirop24 күн бұрын
Some anti-aliasing would be nice. Maybe you can try to do some random super-sampling (kind of like Blender Cycles) to get rid of some artifacts and get nicer looking details :)
Пікірлер
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 KZread 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
❤
Some anti-aliasing would be nice. Maybe you can try to do some random super-sampling (kind of like Blender Cycles) to get rid of some artifacts and get nicer looking details :)