make z and c parameters, I think that would work Edit: I was wrong in many ways about this oh well maybe making Re(z),Im(z), and Re(c) dimensions and so that it’s “complete”, Im(c) time would work?
I just want to bring attention to the fact that the music effects are synchronized with the visuals, and that makes this video so much better than anything else I've seen about fractals.
I'm guessing the pitch amplitude was factored to the brightness of pixel. Dark blue = low pitches, white = high pitches, black = quiet. If I was going to guess, those relative pitch volumes would be normalized to a reference point of the appearance of the standard Mandelbrot set, right?
@@Phriedah hehehe close enough :) just to be clear, every single automation to every single effect or synth parameter was drawn by hand because I hate myself with the fury of a thousand suns 🥰 but yes, I opened and closed a low pass filter, amongst the other things,according to how jagged was the main part of the fractal (i know it’s infinitely jagged anyways but you know what i mean). But there’s no precise, “scientific” mapping.. it’s always important to keep a human touch! (Although we are planning to automate such things a bit more for next videos, fingers crossed)
Yes, the music is genius, but let's draw attention to the incredibly timed bitcrush effects on the narration. Just an incredible move to make the narrator feel like they're fractalizing away.
Note that raising a number to a non-integer power doesn't behave as good. For instance, for the power of 1/2 you get the square root, which will have two regular branches, meaning you will have to decide arbitrarily which one to pick. And when you smoothly change the input the output doesnz't change smoothly at some seam (which also can be chosen somewhat arbitrarily), so technically you have to choose one of 2 "equally likely" variants for each next point For a power of 1/3 there are 3 options And for an irrational power... infinite options, in a sense So that's my best guess for why this fractal is less well-known and studied (and less well-defined)
Has amyone ever thought to square or cube both z and c together and see ifnthst gives any new insight? Is that a clever and insightful idea on my lart pr that has been done already? Or change one pf them toma fibonacci number or swuare both and THEN add a constant? Just spit balling...
@leif1075 you would end up with the following: z0 = c0 c1 = c0^2 z1 = z0^2+c1 = 2c0^2 so, it would behave like zn = 2^n c0^(2n) which does not seem interesting, because it's just (2sqrt(c0))^n however there's probably something to be done with cubing c or adding w = w^2 + z for recalculation and plotting w instead there are actually a lot of fractals on recursive formulas in polynomials and I suspect that chaning c or adding w might be expressed in a form of just one variable with polynomail recursive relationship, but who can say for sure
@@Neuroszima convergence radius of Taylor expansion can be finite, can it not? Particularly, if you're getting a Taylor expansion of a function it converges on some disk centered around the point where you're getting your expansion from, the Taylor expansion is regular and only equals to the function when it is regular in the disk as well. Square root is not regular at the origin, so the Taylor expansion would only converge on a disk that does not contain 0.
That exact mechanism that makes the plot look incomplete at some spots for example when he shows the 3.5 exponent c-parametrized fractal. It looks like if you broke glass and attempted to put it back together. The only way to resolve those seams is to add another dimension to showcase those branches. P.S. I imagine a method similar to Veritasiums "Logistic Map" video except the extra branches are show above and below the principal branch.
Goated video. Been playing around with mandela browser and fractals we can see are just a small window into a kaleidoscope of high dimensional complex math.
My god, as a misician i want to express how MUCH i love your sounds choise and how it changes with yhe visual, it is so impressive.. ive never seen anyone doing that and so good!!!! I am very impressed!
the sound design on this is amazing, really well thought out, it really makes the video really rich. the point tracking sound design bit at 4:20 really was super cool. I think you really pulled of some amazing work here. very well crafted.
4:06 seems to illustrate _why_ these sets have repeating (but often progressively warped) copies appearing along their borders. When plotting the escape trajectories, the overall behaviour of a path will be the same whether you start at the beginning of that path _or start at any of the points the original path would have landed on._ Maybe in a different color, because starting further down the path means that the point escapes in, say, (n-3) steps instead of (n) steps... but the escape/converge result is the same. As well, smoothly varying the starting point smoothly varies each point along the escape/converge path (at least most of the time, AFAICT). Which means: Regions will copy (distorted) structure from regions hit by that region's escape paths.
I love the feeling of watching a video with amazing visuals that are supported perfectly by amazing sounds. I get that feeling when watching an exceptional music video, too.
one of the most underrated math channels on youtube, great explanations and visuals, and the sound design, especially the music being synced with the visuals, made it so much cooler. keep it up❤
This is just amazing work, and I'm just surprised at how underrated your channel is. the music goes great with it. I also like looking at other fractals you can get by iterating other functions (Burning ship, Tricorn, etc.)
the sound design in this video is amazing, and it's super interesting! Please keep doing what ur doing, it's super awesome and u totally deserve more views! props to 6884 also!
I'm guessing there's really just some sort of self-similar 6-dimensional structure that we can only see slices of. Very cool visualization. I like the rotation of the viewing plane.
As a youngster, I wrote a C program that displayed any 2d cross section of the "mandeljulia" 4d shape. If only I had even thought of fiddeling with the "non-variable" 2 as well! Interesting video, subscribed.
The immersive experience given by the visuals and music is just so stunning. The breakcore drums at 4:06 works so well; the seamless transition between topics and visuals; the efforts put into the voice filtering throughout the whole video… It’s just so wonderful to see such well made piece of art. I’ve long known the beauty of the Mandelbrot and the Julia set, but your work again reminds me of how beautiful math, and the world, is. A slight pity, though, is not mentioning about the relation between the “number of convergent points” and the “blob” the initial point falls into. The usual Mandelbrot set (z=0, c=2) has such phenomenon, but I’m not certain if other sets in the family have similar properties.
Fantastic video, beautiful visualisations, and as many others have already remarked, just a great use of audio to complement the visuals. I had never seen the version with an imaginary exponent; with all those seemingly overlapping patterns it looks so 3D just by itself, as if you could peel those layers apart and explore the space between them. Fascinating, loved everything about this video!
7:00 Absolutely. The relationship between these two really, is that Mandelbrot is a tourist map of c values of Julia. Picking somewhere close to the border will give you something interesting-looking. And, a small neighbourhood around the origin of one plot will look quite similar to the same neighbourhood of the other.
This was amazing. extremely informative on the basic math for generating madelbrot sets and julia sets, with amazing animation, music, and the voiceover was also very good 10/10 will reccomend to a friend.
Instant sub. Even though the explanations weren't always as clear to me, the sheer artistry of this video was just hypnotizing to watch. Especially the music/audio being 'reactive' to the video is something I rarely see done like this, let alone with such great execution.
This is such a cool explanation on the Mandelbrot set and Julia set, really easy to follow and beautiful animations plus the music, this video hits just the right spot
I'm not sure how you coded that so smoothly but I'm impressed. I wrote some code to do imaginary numbers to imaginary powers at one point and it was not easy to work out the real and imaginary components, you did a great job. I had fun throwing some bitwise operators into the code for the coloring scheme to make it chunkier. With the purely imaginary exponent it looks particularly gorgeous to me, I've never tried that with that bunch of variables paramatized before! As soon as I have some time I want to try that. :)
the visuals and audio for this are amazing and to think that there's some incomprehensible 6 dimensional fractal from such a simple iteration function is just so much to think about
to be honest ive thought of changing other values like how the julia set is made but after seeing how little there is with the julia sets i assumed it wouldnt do much. i was so wrong
The mixing of the music with the editing is a goddamn feat of absolute talent and hard work. Others have mentioned it but it just can't get enough recognition. And that's ON TOP of the already very sleek and weel made video and editing Edit: not to mention the soundtrack itself that warps in different ways as the visuals and focus do which is the whole point of my comment! Lmao
Great video. I didn't grasp the link between the Julia and Mandelbrot sets as different slices of the same 4D thing until you explained. Content and presentation fantastic.
Playing with fractional exponents gets a little dicey, doesn't it? You have to settle on a specific branch of a Riemannian manifold (if I have my terms correct). This is why the fractional exponent examples have all those hard edges.
OMG! 😲 absolutely fantastic. I have never heard or thought of cross-parameter-self-similarity, but now that you showed it, it seems actually so obvious 🤯 And really neat graphics. 🤗
The VIBES of this video are immaculate! I'd love to know how you produce the music in conjunction with the fractals. Amazing work, I have to try some of this stuff myself.
Finally! more content about my favorite set! this video is amazing, i love the visuals and music that goes along with it! this video was fascinating to watch, keep it up!
this feels like something you would watch in a, Museum/Educational Park or some stuff. but infact i've been watching this video like no other math explanation video
After watching this video over and over again because of the EPIC, blissful soundtrack… I came to the realization that there are other interesting perpendicular planes that reveals crazy shapes. For instance, if you slice through the Mandelbrot real, and Julia real axis you get a “funny looking triangle shape” as described by another person who did a detailed explanation of the full structure of the set. Offsetting in yet another, third axis produces some interesting visual effects I find really fascinating. (Maybe there could be similar shapes in higher powers and even the x-sets) It would be cool to see a part two or something demonstrating this!
Awesome work. I've never been able to understand the mandlebrot set before and always thought it was some obscure mathematics I was too dumb to understand. thankyou!
Okay like everyone else I want to give a massive applause to 6884 syncing the music with the visuals, and to 2swap for the amazing visuals in the first place! I want to look at this amazing many-dimensional thing more...
The deepest dream to be able to visualize this as a three dimensional object.
Sounds like you've never installed MB3D or Mandelbulber
Or visions of chaos
make z and c parameters, I think that would work
Edit: I was wrong in many ways about this
oh well
maybe making Re(z),Im(z), and Re(c) dimensions and so that it’s “complete”, Im(c) time would work?
wait, you can just split the 1 6D shape into 3 2D shapes
Why to dream of three when you can dream of four, why to dream of the possible when you can dream of the impossible?
I just want to bring attention to the fact that the music effects are synchronized with the visuals, and that makes this video so much better than anything else I've seen about fractals.
I'm guessing the pitch amplitude was factored to the brightness of pixel. Dark blue = low pitches, white = high pitches, black = quiet. If I was going to guess, those relative pitch volumes would be normalized to a reference point of the appearance of the standard Mandelbrot set, right?
@@Phriedah hehehe close enough :) just to be clear, every single automation to every single effect or synth parameter was drawn by hand because I hate myself with the fury of a thousand suns 🥰 but yes, I opened and closed a low pass filter, amongst the other things,according to how jagged was the main part of the fractal (i know it’s infinitely jagged anyways but you know what i mean). But there’s no precise, “scientific” mapping.. it’s always important to keep a human touch! (Although we are planning to automate such things a bit more for next videos, fingers crossed)
@@6884thank mr 6884 the music was wonderful
I noticed that too but at some point I was really immersed and it was just very interesting.
truly
6884 did some genius music work here
Generic beep boop so good on my Adderall brain hurr durr.
@@Youcantrespond YESSS my first hater!!! 🙌
50% inspiration, 50% perspiration, 100% reason to remember the name - or however that one went 🤔
@@6884 Congrats! 🎉 I'm sure there will be many more! 🥰
@@6884as a synth head i found it really tasteful gg
Yes, the music is genius, but let's draw attention to the incredibly timed bitcrush effects on the narration. Just an incredible move to make the narrator feel like they're fractalizing away.
H e h e h e 😊 it’s so nice when your efforts get noticed 🥹
idk i kinda thought it was just distracting to me
it's like ur brains on ket
I think more TH-cam videos should be like this. The immersion of the music pairing with the visuals makes this an experience like no other!
This video sure was the real official canon to everything about the mandelbrot set
woah its voxeldoesart i sure hope nothing happens to the *thing* in this video
here, the *thing* is the mandelbrot set
os c
There are 100s of 1000s of these videos in this site. What are you talking about dude.
this guy went from connect 4 strategy to the most beautiful math video ever created.
literally
holy shit it's this guy?
Note that raising a number to a non-integer power doesn't behave as good.
For instance, for the power of 1/2 you get the square root, which will have two regular branches, meaning you will have to decide arbitrarily which one to pick. And when you smoothly change the input the output doesnz't change smoothly at some seam (which also can be chosen somewhat arbitrarily), so technically you have to choose one of 2 "equally likely" variants for each next point
For a power of 1/3 there are 3 options
And for an irrational power... infinite options, in a sense
So that's my best guess for why this fractal is less well-known and studied (and less well-defined)
Has amyone ever thought to square or cube both z and c together and see ifnthst gives any new insight? Is that a clever and insightful idea on my lart pr that has been done already? Or change one pf them toma fibonacci number or swuare both and THEN add a constant? Just spit balling...
@leif1075 you would end up with the following:
z0 = c0
c1 = c0^2
z1 = z0^2+c1 = 2c0^2
so, it would behave like zn = 2^n c0^(2n)
which does not seem interesting, because it's just (2sqrt(c0))^n
however there's probably something to be done with cubing c
or adding w = w^2 + z for recalculation and plotting w instead
there are actually a lot of fractals on recursive formulas in polynomials and I suspect that chaning c or adding w might be expressed in a form of just one variable with polynomail recursive relationship, but who can say for sure
Uhhhhhh Taylor expansion would have a word with you...
@@Neuroszima convergence radius of Taylor expansion can be finite, can it not?
Particularly, if you're getting a Taylor expansion of a function it converges on some disk centered around the point where you're getting your expansion from, the Taylor expansion is regular and only equals to the function when it is regular in the disk as well. Square root is not regular at the origin, so the Taylor expansion would only converge on a disk that does not contain 0.
That exact mechanism that makes the plot look incomplete at some spots for example when he shows the 3.5 exponent c-parametrized fractal. It looks like if you broke glass and attempted to put it back together. The only way to resolve those seams is to add another dimension to showcase those branches.
P.S. I imagine a method similar to Veritasiums "Logistic Map" video except the extra branches are show above and below the principal branch.
This is the first time I've ever had an intuitive understanding of the Mandelbrot set. Excellent video
Bro watch any Numberphile or 3blue1brown video on it. There are several.
Yeah the explanation of how to visualise the set was amazingly concise!
0:29 youtube compression at it's max 💀
Also TH-cam: this video is 4k ultra resolution , one of the best on TH-cam
Shoutout to 6884 for making the video 50x better
Eyyyy cmon cmon i just uncovered its beauty in… hehe, in another dimension 😉😊
you mean 50x+2i, surely 😄
? what y mean 6884
Exquisite sound design, narration and use of math. Perfect fractal video.
Absolutely wonderful job. It's been a long time since I have been somehow this glued to the screen, forgetting everything around me for a few minutes.
Goated video. Been playing around with mandela browser and fractals we can see are just a small window into a kaleidoscope of high dimensional complex math.
the music reminds me of the way the music changed when rotating in 4-space in 4D golf
Absolutely! Also considering that this video is too sort of about making cuts of a multidimensional space
What 4d golf? :0
@@JuiceboxSnail It's a PC game made by CodeParade, really recommend checking its devlogs and (if you like golf of couse) the game itself too
@@JuiceboxSnail It's a PC game, really recommend checking its devlogs and (if you like golf of couse) the game itself too
Nice work with soundtrack, 6884!!! 🌌 Relay my thanks.
my thanks back!
@@6884 can you upload the music?
I absolutely love how the music and sound effects change with the fractal
This is INSANELY cool. I've never considered making the exponent an imaginary number, and the music really ties it all together. Nice!
When I first became aware of the existence of the Mandelbrot Set and fractal geometry, it blew my mind and has fascinated me ever since.
The sound design is phenomenal
thanks :)))
you did a good job 6884
5:15 Best part
And *THATS* how you fold reality! 👏
🤣
My god, as a misician i want to express how MUCH i love your sounds choise and how it changes with yhe visual, it is so impressive.. ive never seen anyone doing that and so good!!!! I am very impressed!
hi :3
@@6884 can you tell me the name of the music?
such an insane video, absolutely love the sound design, visual design and how everything works together to make just a phenomenal video
It takes a witch to recognize some magic 😉
the sound design on this is amazing, really well thought out, it really makes the video really rich. the point tracking sound design bit at 4:20 really was super cool. I think you really pulled of some amazing work here. very well crafted.
@ beautiful work.
I have never seen such a beautifully put together video of such a fascinating topic! Amazing work right here
4:06 seems to illustrate _why_ these sets have repeating (but often progressively warped) copies appearing along their borders. When plotting the escape trajectories, the overall behaviour of a path will be the same whether you start at the beginning of that path _or start at any of the points the original path would have landed on._ Maybe in a different color, because starting further down the path means that the point escapes in, say, (n-3) steps instead of (n) steps... but the escape/converge result is the same. As well, smoothly varying the starting point smoothly varies each point along the escape/converge path (at least most of the time, AFAICT). Which means: Regions will copy (distorted) structure from regions hit by that region's escape paths.
Mooom help, this guy is warping space and time
Mom said it is my turn to ponder the imponderable!!!
I fucking love the sound design here, also FRACTAAAAALS!!!
I love the feeling of watching a video with amazing visuals that are supported perfectly by amazing sounds. I get that feeling when watching an exceptional music video, too.
one of the most underrated math channels on youtube, great explanations and visuals, and the sound design, especially the music being synced with the visuals, made it so much cooler. keep it up❤
This is just amazing work, and I'm just surprised at how underrated your channel is. the music goes great with it. I also like looking at other fractals you can get by iterating other functions (Burning ship, Tricorn, etc.)
the sound design in this video is amazing, and it's super interesting! Please keep doing what ur doing, it's super awesome and u totally deserve more views! props to 6884 also!
I'm guessing there's really just some sort of self-similar 6-dimensional structure that we can only see slices of. Very cool visualization. I like the rotation of the viewing plane.
althoug some humans are working on getting us closer 😉 look for 4D Miner and 4D Golf. Crazy stuff and some kids already play it like it's nothing.
This was truly a psychedelic experience, and I was completely sober
I was very happy to be connected to my speakers when i heard this music. Hats off to 6884, very immersive
thanks for uploading in resolutions > 1080p, that really helps with the compression!
As a youngster, I wrote a C program that displayed any 2d cross section of the "mandeljulia" 4d shape. If only I had even thought of fiddeling with the "non-variable" 2 as well!
Interesting video, subscribed.
I hope you keep making videos of this style quality (and with 6884's music too!)
It's very good
So far he has been patient enough with my epic slowness, fingers crossed he doesn’t change his mind anytime soon… 👀
This is awesome 👏
The music, the visuals, the changing the voice to a lower resolution, its all so perfect 💯
the main star of the show is the math, but the sound design also deserves some praise. well done man
The immersive experience given by the visuals and music is just so stunning.
The breakcore drums at 4:06 works so well; the seamless transition between topics and visuals; the efforts put into the voice filtering throughout the whole video… It’s just so wonderful to see such well made piece of art.
I’ve long known the beauty of the Mandelbrot and the Julia set, but your work again reminds me of how beautiful math, and the world, is.
A slight pity, though, is not mentioning about the relation between the “number of convergent points” and the “blob” the initial point falls into. The usual Mandelbrot set (z=0, c=2) has such phenomenon, but I’m not certain if other sets in the family have similar properties.
maybe ill talk to this sone day :)
Fantastic video, beautiful visualisations, and as many others have already remarked, just a great use of audio to complement the visuals. I had never seen the version with an imaginary exponent; with all those seemingly overlapping patterns it looks so 3D just by itself, as if you could peel those layers apart and explore the space between them. Fascinating, loved everything about this video!
nicely put 👍couldn't agree more
I can't believe this has only 1500 views. Incredible work. I hope you find great success on TH-cam soon.
7:00 Absolutely. The relationship between these two really, is that Mandelbrot is a tourist map of c values of Julia. Picking somewhere close to the border will give you something interesting-looking. And, a small neighbourhood around the origin of one plot will look quite similar to the same neighbourhood of the other.
This music paired with these amazing visuals are insane dude, absolutely fantastic vid
The synchronized music and effects with the fractal actually gave me goosebumps. I want more of this blissful style!
holy cow amazing video its the best fractal video ive ever seen and it finally made me understand how drawing the mandelbrot works
This was amazing. extremely informative on the basic math for generating madelbrot sets and julia sets, with amazing animation, music, and the voiceover was also very good 10/10 will reccomend to a friend.
Wow fractals are incredible, i never expected you could turn the mandelbrot set into a shattered glass pattern
Instant sub. Even though the explanations weren't always as clear to me, the sheer artistry of this video was just hypnotizing to watch. Especially the music/audio being 'reactive' to the video is something I rarely see done like this, let alone with such great execution.
Haven't seen a video this fresh and creative in a while, absolutely stunning.
This video is so clean, it’s insane how high quality TH-cam videos have become
I had not a single idea what you were talking about, but the visuals and the sound design was trippy! Love it!
We all know we didn't understand all that but it's still fun to watch and leaves you feeling like Einstein.
I understood....
This is such a cool explanation on the Mandelbrot set and Julia set, really easy to follow and beautiful animations plus the music, this video hits just the right spot
dude the sound design and visualizations in this video are SO well done. Beautiful video
4:47 It looks like a tartigrade.
5:24 You probably gotta rotate or make the view plane imaginary. Or maybe make it not flat. Or change its topology.
Just subscribed after watching this video. You did a great job producing it. Absolutely loved how the audio seemed to go with the visuals.
the sound design is amazing. this is so much greater than we deserve for our educational videos but so appreciated
I'm not sure how you coded that so smoothly but I'm impressed.
I wrote some code to do imaginary numbers to imaginary powers at one point and it was not easy to work out the real and imaginary components, you did a great job.
I had fun throwing some bitwise operators into the code for the coloring scheme to make it chunkier.
With the purely imaginary exponent it looks particularly gorgeous to me, I've never tried that with that bunch of variables paramatized before! As soon as I have some time I want to try that. :)
The sound design is insanely well made! 😍
This video is insanely well made! I might binge this entire channel!
Somebody's computer is being used to heat their house. No furnace necessary.
I had genuinely thought I'd seen all the projections of the Julia set. Thanks for sharing this cool work.
best video ever, best content creator ever, love the raw appreciation for fractals
my favourite ost ever btw
imagine a video game where you play on a fractal
the visuals and audio for this are amazing and to think that there's some incomprehensible 6 dimensional fractal from such a simple iteration function is just so much to think about
to be honest ive thought of changing other values like how the julia set is made but after seeing how little there is with the julia sets i assumed it wouldnt do much. i was so wrong
I can’t take my focus away from that crispy sound design
hella rad video, would love to see your take on abs fractals if you ever do :D
5:08 Corrupted Minecraft world generation be like:
The mixing of the music with the editing is a goddamn feat of absolute talent and hard work. Others have mentioned it but it just can't get enough recognition.
And that's ON TOP of the already very sleek and weel made video and editing
Edit: not to mention the soundtrack itself that warps in different ways as the visuals and focus do which is the whole point of my comment! Lmao
It seems that you either love it or hate it but those who love it REALLY love it and I am v v happy 🥹🥹🥹
@@6884 I am definitely in the LOVE it category, I would describe the music as "wet" or almost "sticky" and in the best way possible 👌👌
Because of sounds and visuals I thought that you have at least 300 000 subscribers. Nice work
Great video. I didn't grasp the link between the Julia and Mandelbrot sets as different slices of the same 4D thing until you explained. Content and presentation fantastic.
Watching this video added new folds to my brain. Well done!
The quality of your videos is top notch!
this is some damn good narration and music! this might be one of the best math explanation videos i've ever seen
Dawg this level of editing is absolutely insane. Fantastic video, 100/100
The universe has been suspicious quiet ever since you dropped these infinite geometry Mandelbrot' video..
A tip of the hat goes to the audio engineer. I love all of those fun audio distortions done in time with the animation. Bravo!
2:32 y the voice change?
bc the img got all grainy grungy and so i thought hah let's do it to the voice as well!
Really nice work here mate
Because it represents high contrast :)
I love this yt channel bro, your visuals and audio are such a treat
This is great! I can only imagine how much work went into this. It’s awesome!
Playing with fractional exponents gets a little dicey, doesn't it? You have to settle on a specific branch of a Riemannian manifold (if I have my terms correct). This is why the fractional exponent examples have all those hard edges.
That's why it's an *evil* twin
yep
Oooooh right!!!! 😮
OMG! 😲 absolutely fantastic. I have never heard or thought of cross-parameter-self-similarity, but now that you showed it, it seems actually so obvious 🤯 And really neat graphics. 🤗
The VIBES of this video are immaculate! I'd love to know how you produce the music in conjunction with the fractals. Amazing work, I have to try some of this stuff myself.
Finally! more content about my favorite set! this video is amazing, i love the visuals and music that goes along with it! this video was fascinating to watch, keep it up!
Thank you so much, i never thaught of the idea to modify the exponent, this is genius!
That was absolutely sick, and the audio effects on the background music synced with the visuals added a lot
The music in this video was incredible! Truly a work of art all around 👏
Excellent presentation, from the explanation to the visuals and sound production
this feels like something you would watch in a, Museum/Educational Park or some stuff. but infact i've been watching this video like no other math explanation video
Instant follower gained.. Thank you TH-cam for giving 2swap a platform to showcase their work. :)
After watching this video over and over again because of the EPIC, blissful soundtrack… I came to the realization that there are other interesting perpendicular planes that reveals crazy shapes.
For instance, if you slice through the Mandelbrot real, and Julia real axis you get a “funny looking triangle shape” as described by another person who did a detailed explanation of the full structure of the set.
Offsetting in yet another, third axis produces some interesting visual effects I find really fascinating.
(Maybe there could be similar shapes in higher powers and even the x-sets)
It would be cool to see a part two or something demonstrating this!
visuals and audio are top notch, 6884 is goated
my wife says sometimes i smell like a goat too
🐐
Bruh stop you'll break the universe
one of my friends showed me this video and it made me instantly subscribe, good work, hope to see more from you in the future
Well, as much as I failed to understand it all, I did find it visually interesting, which was pretty cool!
Awesome work. I've never been able to understand the mandlebrot set before and always thought it was some obscure mathematics I was too dumb to understand. thankyou!
Okay like everyone else I want to give a massive applause to 6884 syncing the music with the visuals, and to 2swap for the amazing visuals in the first place! I want to look at this amazing many-dimensional thing more...
21k views? Such an underrated video.