Coding Challenge #12: The Lorenz Attractor in Processing

References:

Videos:

Related Coding Challenges:

Timestamps:
0:00 Introducing today's topic
0:55 Differential Equations
2:30 Lorenz systems
3:36 Non-linear, chaotic systems
4:30 Start Coding!
6:07 Every cycle through draw is 1 unit of time
6:30 Add formulas to code
8:19 Change of time per frame
10:10 Modify the inputs
12:48 Plot the system
14:08 Scale the scene
14:42 Add an array list to store the data
16:00 Write an enhanced loop
17:00 Add beginShape() and endShape() to connect the points
17:52 Change to HSB mode and add color
19:07 Add an offset
20:06 Conclusion and design possibilities

Editing by Mathieu Blanchette
Animations by Jason Heglund
Music from Epidemic Sound

#math #lorenzattractor #processing #java

[purify_with_liberties_flame]

If math teachers taught like you and did coding, the words "when would i ever use this in the real world" would be a bit meaningless. I love your videos.

[robertobreve]

I've been coding for more than 15 years, I got burned out, with these tutorials, I'm falling in love again with coding again, just like the old days. Thank you so much!

[thecosmicwhale]

You make learning programming so entertaining Dan, you ROCK!!!

[Shenanigans]

This looks absolutely amazing using Unity's Line Renderer.

I've had many teachers, none of them come close to you. You're an absolute gem.

[taylorbaratka]

add "rotateY((hue/255)/360);" at line 44 or 45 right after "hue +=1;" and the curve will auto-rotate.

[JohnDoe-kifm]

That's pretty awesome. It is a testament to the success of the Processing environment, but also a triumph in terms of a tutorial for the Lorenz attractor and being able to explain what it is and get an interesting visualization of it on the screen without a lot of pain. Great job, Daniel!

[mikeandrewfernandez]

I love the way of him teaching so passionately. Full of energy!

[jotheinv]

Thank you so much for this. Love your enthusiasm, energy, and of course the clarity with which you explained all of this.

I am having to study attractors in general and this one in particular for a dynamical systems class I am taking, and so far I was just seeing boring static pictures and graphs along with the theory. Creating and watching a live animation literally just made the subject come alive for me, haha... again thanks, this was great.

[astropgn]

I learn so much with you! God damn.

At first I thought this was kind of a kid channel. Because his theme is unicorns and rainbows. But I was wrong. It does have a more friendly theme, which only adds to the channel, but the content is very solid. I like it very much!

[adrianojordao]

I made this exercise with 16 at 1994, it was an huge success in class. Used clipper and same graphical new clipper library that I got don’t know were, I think it had some mouse capability too. But then Delphi appears... This blog really captures the joy of programming that many times comes from this small projects. Continue the good work. The number of videos is impressive and already a very good library and an amazing starting point. Potencial value is huge.

[blomblorpf]

I know absolutely nothing about coding. To be honest, I don't know the first rule of it. It has always been my dream, coding games for entertainment and programs to simplify things. I have I.T. as a subject next year, hoping it could give me some insight on coding, even if it's a minimum. I have a book full of ideas for games I want create, sadly, I can't just jump into it without any knowledge. I watch your videos, because I like the feeling of knowing that I will be able to do this one day if I work hard enough, and I love how code looks and feels. It amazes me. Thank you Daniel.

[madhavsirohi]

One of the best/most lovely Teacher/elder brother on the internet!

[druidofpies]

I had to take a differential equations math course in college. A whole semester, and I was never really told what a differential equation was or when it was used. In 1.5 minutes you told me what my professor couldn't in 5 months. Truly amazing sir

[digitalArtform]

"Send me your coding challenges!" I would like to learn more about reaction-diffusion or navier-stokes in a Processing context. Since you're asking. :D Great series. As usual.

[Timisenman]

I'm reading James Gleick's Chaos right now, and I became a bit spellbound by the Strange Attractor, and I've recently started learning about Processing and playing with it, so I googled "Lorenz Strange Attractor Processing" and the miracle of this video came up. Thank you so much for making it. A true dream come true.

[BobIrving]

Crazy cool! I learned so much that I never got to in math in high school: Lorenz attractors, differential equations, etc. Some people don't like Dan's approach and his quirkiness, but it all works great for me!

[meridel]

That is great. Learning how to implement mathematics in code, and learning more advanced programming techniques in one video. Thanks Daniel, it's fantastic as always :).

[ashmitabhattacharyya]

Beautiful tutorial! I'm a High School Student with a keen interest in coding and computer science and this tutorial has been tremendously useful in teaching me how to generate the Lorenz Attractor by myself for a project :) Thank you!!

[satyman]

This gives me a crazy new perception of the universe. Maybe were just in a 3D simulation, and the Big Bang was just God finishing his processing sketch and clicking run. 🤯

[statstacks]

You are flipping dope! Like the Bob Ross of codified art.