Coding Challenge 168: MandelBulb 3D Fractal
ฝัง
- เผยแพร่เมื่อ 2 มิ.ย. 2024
- It's the Mandelbulb! What happens when you take the original fractal (The Mandelbrot Set) and extend it into 3D space? And how do you visualize it in Processing (Java) as a point cloud? thecodingtrain.com/challenges...
🎥 Previous video: • Coding Challenge 167: ...
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Links discussed in this video:
🔗 The Unraveling of the Real 3D Mandelbulb 1: www.skytopia.com/project/frac...
🔗 The Unraveling of the Real 3D Mandelbulb 2: www.skytopia.com/project/frac...
🔗 Processing: processing.org
🔗 MandelBulb wikipedia: en.wikipedia.org/wiki/Mandelbulb
🔗 PeasyCam: mrfeinberg.com/peasycam/
🔗 Inigo Quilez website: iquilezles.org/
Other videos mentioned in this video:
🎥 Mandelbulb (raymarched SDF): • Mandelbulb (raymarched...
🎥 Mandelbrot Set with p5.js: • Coding Challenge #21: ...
🎥 Spherical Geometry: • Coding Challenge #25: ...
Timestamps:
0:00 Introducing Today’s Topic
1:31 The MandelBrot set explained
4:31 Triplex numbers
5:11 Voxels in Processing
6:36 Adding PeasyCam
7:19 Spherical coordinates
9:18 The power of triplex numbers
10:51 Implementing power formulas
15:26 Converting cartesian to Spherical
19:26 Setting up the MandelBulb
22:00 First MandelBulb
22:23 Optimising visualisation
24:47 Pointcloud MandelBulb
25:47 Variation ideas
27:04 The MandelBulb returns
27:31 See you next time!
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🔗 p5.js: p5js.org
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🔗 Processing: processing.org
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Really fun video, and a nice breakdown of the maths. Looking forward to more mandelbulb-related challenges in the future!
I agree! Both of your channels are super inspiring and I'm always excited when I see a new upload. Keep it up!
Thank you, that means a lot!!
It would be fun to see you both team up on this one, you are very talented with shaders and ray marching and that kinda stuff as far as I know
A colab between both of you seems natural for this challenge.
i mean, Collab?
I am only a mechanical engineer and not a programmer, but programming videos used to help me a lot.
When the professor explains PID controllers to you for 10 hours, you don't understand anything at first.
Then once you program one, you see that it's just a few lines of code and you understand it immediately.
At least when it comes to the basics.
Because programming is really about telling the computer exactly what to do and that helps a lot to understand all kinds of problems from different disciplines.
Through P5.js you can also apply that directly. That's why I've been watching the Schiffman videos ever since they came out.
At the moment also more often, because I have programmed some things together with my nice, which is great, because you do not need a compiler or extra software, but can start immediately in the browser.
THIS IS SICK! I've been obsessed with mandelbrot and buddhabrot fractals for YEARS because of your video on the mandelbrot set. I would LOVE to watch a video on ray marching and shaders!!
Yess a coding challenge for raymarching would be legendary
I agree. Please "Fractal god" guide Daniel to render it with shaders. LOL
That was amazing, Dan! "Annihilation" is also a film that shows the beautiful mandelbulb.
So crazy you came out with this. The last week I've been obsessed with the Mandelbrot set and coding it and was exploring the idea of 3d this is very cool.
I just found your channel last week, and have just been enjoying these challenges videos. I was having a bad day today but after watching you so enthusiastically solve and explain coding challenge just made me feel a little better. Thanks
This was awesome from start to finish! Really shows the thought process before jumping into coding and of course all the naunces of jumping back and forth! Good job!
I've been so hooked with the fractal videos from your channel. This is the greatest treat for me. Great work ❤️
I am always impressed about how you manage to create complex programs without ever defining proper functions, which you clearly dislike :-) Awesome job!
Dan, I love to see a new video from you. I am a senior software eng. working in the business for the past 20 years. I love the humanity you bring, along with the self deprecation and humour. I trust Mrs. Gloria Pickle is doing well:) Now to sit down with a cuppa and enjoy this. Thanks again - from Ireland.
Thank you for this lovely and kind comment!!
Oh and yes Gloria is quite happy and enjoying life these days! She says to say woof to you!
Awesome video, I have been into fractals for almost a decade and this was one of the most accessible explanations and implementations of the Mandelbulb I have seen.
Finally waited long for this one dan , thanks for the delivery you chered up a little neighborhood in Bosnia (south europe) much love as always the magic and long train of coding
Dude your energy is so infectious. You deserve a Nobel Prize or something. God bless.
this!
it's funny cuz the fractal looks like coronavirus lol
I've learnt more from this guy than I have in all my years of school and college, and the best part is how much fun it is. I would be an Einstein if I had a teacher like you.
You are a legend mate, I have never watched one of your videos without a smile on my face the whole way through!
This video is what brought Processing (and your channel) to my attention. Currently finishing your NOC series and planning to learn p5.js next. Thank you old and future Dan!
Edit: to clarify, I knew of your channel years ago, but I lacked the experience and motivation to watch your videos, and didn't know you had such amazing tutorials!
Welcome aboard!
This is my favourite channel on youtube. Your enthusiasm is contagious
You make me understand the math part so easily and accompanied all that with your happy attitude it is a work of art. Thank you, sir.
I have zero understanding of coding, and I am far from literate in math, but I managed to watch this and understand most of what you were talking about. I recently found MB3D and have been playing around trying to make trippy 3D fractal animations for a music project I am currently learning about. I found this video, especially your enthusiastic nature quite inspiring and very informative. I look forward to seeing more of your videos. Cheers
The best about the videos is neither the cool outcome nor the educational purpose, but rather seeing how much you love coding. It's so sad how often education fails, just because it seems like the one teaching is not even enjoying it themselves, but this enthusiasm is very infecting :D
This was great. Thanks for all your work, Daniel. Such a gift to the world!
I remember the video on the Mandelbrot from 6 years ago .. back then I was in high school .. it was around the time when I just discovered the channel and I really loved your content .. my whole family knows about you because I couldn't shut up or stop watching your live streams and videos
I remember also sending the video to my Math teacher and he was truly impressed even though english is not our native language
Man .. I just realised how much you taught me in coding
Thank you 🙏🙏❤️
Just stumbled across you channel and am thoroughly enjoying it! I am getting really strong Cliff Stoll vibes from you, and I could listen to him for dayyys.
I made a quaternion raytracer between school and uni (that was around 2002/3) just because fractals fascinated me enough to dig into all that math on my own, which really wasn't easy at that time with only the limited ressources on the web then. Complete with self-shadowing and reflection maps, and a marching-cubes based mesh export for funsies as well to feed it into a "real" raytracer. It even included a fully self-made quaternion formula parser (in assembler, wich I hadn't ever used before, and support for variables to avoid re-parsing every iteration) with all the trig functions and stuff so that I could feed it all kinds of iteration instructions by just writing out a formula in text. Later ported it to an "early GPGPU style" form, under DX9 before any of the actual GPGPU stuff like CUDA and such existed. So just bare pixel shaders.
I think I've never been this proud of any program I made ever since. Man, to have that kind of free time again, sigh!
I never really got deep into the Mandelbulb maths-wise since it "came out" when I was already caught up in studies and work, so I followed this video with great interest and finally, after all these years, understand how it's actually calculated! Thanks!
Edit: Heh, I've just noticed this video came out just one day before my 40th birthday. How fitting :)
It's great how you make code and maths look easy and pretty fun!
I'm following your first tutirials of Processing and NOC and thanks to them I did a lot of progress.
Thanks Daniel!
Easy, not so much but it is certainly fun
28:00 I was holding my breath, crossing my fingers, and rooting for you. We really really appreciate the hours and hours you spend...to put together these incredible videos. You're the best Dan!
You surely mean 21:26?
Thank you for the kind feedback!
I have no idea about even the littlest thing you've mentioned in this video, but I enjoy your enthusiasm.
Dude, you are a legend. You are such an inspiration for me and my classes. Congrats!
A really nice visualization is also how quickly the points spiral away. For that you ramp up the iterations and depending on how many iterations it takes to reach your boundary (should be r>2), you color the vertex differently. For example if your max iterations is 256, then if your tested point spirals away in 5 iterations, then you color it in some way, and if it takes 200 iterations before it grows bigger than 2, you color it another way. Anything that takes more than your limit should be considered part of the set
3D fractals, complex numbers, coordinate transformations, convergence series..... This video has everything! :D
I love how your future self interrupts/intercepts the video to point out issues with the code and/or explanations given. They way you do this in post production is just really great editing in my opinion. It just shows how much quality your videos have and how great of a teacher you are. Please keep up the great work. Thank you.
Forgot one thing: as a beard guy myself, I gotta say: nice beard. I am jealous. 😂
Love your content and the way you are teaching the subjects.
One hint to improve your code further (starting 22:50 ): when the edge is set to false you have to add the previous point to the mandelbulb array. What you did was adding then the next point in the line. Because it is a fractal there is a high chance you hit a whole and the next "edge start" will be added but you are missing almost half the points. "Almost" because on one pixel thin "edge switches" you just got it correct
I was looking for this comment. ty !
This is the most beautiful work of yours I’ve ever seen
Can't wait for the shader version! I am actually learning graphics like opengl these days and good stuff on shaders is hard to come by
The result looks fantastic! What an awesome coding challenge this was :)
This guy explains his process so well, great job
your ability to explain and make this kind of complex things funny are insanely awesome ^^
I love every video you do, I love the way you teach different projects about coding, love from Mexico :)
I have fascination for mandelbulb since it was first rendered. It's the first time I really understand the calculus. So I want to say thanks to you !
The part where you compared the code and the white board was really helpful in understanding it.
Please do it more in other complex algorithms like this
Really great job, Dan. I love your enthusiasm!
2022 in March, and your still making videos, even C# developers are watching your videos. Amazing!
Your channel is so fking fun man, it's like I'm watching with the same excitement as the educational programmes of my younger years but with all the intensity of the knowledge I've acquired over the years
This guy always surpasses his limits ..next he will create a MandelBulb in 4D wait for it.
Wouldn’t be too hard, he would just have to show a cross section of it at a time. The rest will have to stay as calculations.
or a womandlebulb in 4DD
@@janet.snakehole😂😂
I really love this channel and everything you do for community. you are the best.
Damn this is insane man thank you for this im tripping hard right now i can't wait till i code that myself and look at all those insane fractals
haha, awesome, and fun! I love how the future you interrupts! thanks for sharing
Okay that does it. I have no reason in my field to learn these animations but after watching you have so much fun I'm going to learn JS and processing. I have to board the train. Wish me luck!
Welcome aboard!!
@@TheCodingTrain choo choo!
for these sorts of things I would recommend learning GLSL and using shadertoy. much more powerful and not too complicated.
Dan, it's me from 10 years in the future! The video you made looks totally awesome. Don't give up!
you appear in my feed randomly,,i seriously dont understand any stuff about coding and never tried to learn...but the way you teach its really interesting.....i might give a shot and try to learn coding it looks interesting....thank you
The Processing book I read was by Shiffman and half the examples on Processing and p5js site are Shiffman, what a fantastic teacher.
That was awesome.
I just wanna add a bit more to the Mandelbrot set. It's story is more closely related to the Julia sets, these are obtained by iterating complex polynomials (z^2+C) and taking all the points that behave chaotically, and the Mandelbrot set consists of all those points for which the corresponding Julia set is in one connected piece. Turns out that checking the condition that you're using guarantees connectedness of the Julia set and therefore allows you to know if that "C" is in the Mandelbrot set.
NO WAY. I've read a thing talking about this before! Also just encountered it in a game I just finished (manifold garden). Never found out how to do it... UNTIL NOW! YEEEEESSSS thank you very much :D
Been learning opengl recently and thought about doing a 3d mandelbrot and then found this. Amazing content my man!
Thank you! Please share what you make!
You are a very nice guy. I love the Mandelbrot idea. Thanks!
Very nice video. I've been trying to figure out how people actually render those super hi res 3D fractals and really not understanding. So thanks so much for mentioning the term "ray marching." That's just what I was missing!
Imo this visualization is even better than the shaded one! Thanks Dan, awesome video
These videos are so fun to watch fr
I LOVE YOU
this is my new favorite channel on yT.
This channel is so awesome!!! This one is a fantastic progression from the original 2d Mandelbrot set video you did!
Cheers! Many thanks
wonderfully done.
Really impressive tutorial!
you are awesome, please continue with this valuable job
Amazing how fun you are... I want to be like you. Thanks!!!
Love your videos!
Thanks! It has been so interesting! 🤟
Thank you! Very much enjoyed watching this :-)
That was wild, thank you!
I watched the whole live loved it✨
This channel is fantastic.
The pure enjoyment is refreshing.
The best coding channel ever!!
I am in love with this channel
I've experimented with similar math before, infact it's what I uploaded on yt some years ago...great stuff
That's to reallly cool of like this code!
You are best :D
Thanks for you movies !
you're awesome keep doing what you do
Man, I like your energy.
Thank you for your amazing videos! Could you do a video in the future about soft bodies?
love your work
Bro you are amazing by way delevring the concept
i got interested in generative art bc of you years ago and now i'm learning shaders in university
Simply awesome
Amazing video as always! Could you do a video in the future about the haversine function? I feel like there's a bunch of opportunities for interesting visualizations and animations.
oooh, great idea, will take a look!
Thank you for this video
I LOVE THIS GUY, ENERGY!!
Dan still one of the best content internet can offer
A little while ago I had used the same resource as was seen in the video to make a mandelbulb volume shader in blender. I got some insane renders out of it. Although tragic that floating numbers are the limit.
Wow!
Very cool.
Awesome!
Yeah I think my brain just left me. This was an amazing video and with good mathematical explanation. Now off I go to learn more about polar coordinates.
Not gonna lie I vaguely understand what he's talking about but I love his energy and excitement
This channel is so much fun lol
thats such a cool shape! I kind of want to 3d print one and just hold it...
Yo this seems sick!
I liked the point cloud more than the first 3D models you showed. Could you add a random offset to the points to make it look more fuzzy?
fabulous awesome!
hey, from the future here lol you can take that rendered mandelbulb and save it as an image, and use disco diffusion or stable diffusion to create an image using that image as a mask! this is so amazing, wondering how this could work in python!
very cool! keep it up 🐶
3D fractals! That's a whole new level.
I managed to do the ray marching bit and got it to work using shaders. It's pretty cool actually!
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