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Download the 3 sprites and 4 scripts of "Lorenz Attractor" and open it in Scratch Project Notes
Lorenz Attractor -- A chaotic 3-dimensional structure based on a set of three nonlinear differential equations associated with fluid dynamics. Plus it's cool to watch. This is a 2-D projection on the x-y plane where color changes with time, and brightness changes with the z value. The Scale variable can be used to zoom in or out during drawing.
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Very cool
I see this is related to the Lorenz Chaos Graph Algebra Model...Nice!
WOAH!HOW DO YOU DO THAT!
This is very nice! I was wondering if anybody had put together a model of the solar system with modeling for gravity and centripedal force? It's lots of fun to watch what happens to the orbits when, say another Jupiter suddenly whips through the system! Scratch may not be fast enough to do a 10 body simulation smoothly enough to be fun but I'd be curious to know if it has been attempted.
Nice!
In the end I cheated a little bit to get it to work with 3D rotation, but I managed to get it to work. The project is here: (link to project)">(link to project)
I tried exporting the matrix sprite that I had and importing into your Lorenz project, but the Scratch application didn't seem to import the variables correctly. I will try to take another stab at it at a later time.
Canthier: Cool idea re your 3D matrix code. I tried to put together a generalized transformation matrix project a while back, but it turned out to be extremely slow, so I gave up. I'm curious to see what you can do with it...
BATzerk: Thanks for the comments. I tried changing the pen size, which is a good idea, but it tended to obscure some of the fine details of the plot.
Oh, haha, this is ALREADY in 3D! That makes more sense. (It's 2:30 in the morning; give me a break!) Chalkmarrow, I like how you change the brightness to help with the illusion of "depth"; I think you could try changing the pen size as well the "closer" the line gets to you to add to the effect. (Again, take a quick look at my 3D gravity simulation thing and you'll know what I mean.) ...Well, looks as if I'm going to be downloading this and doing some research on what Lorenz Attractors are! (They sound fascinating! Looks cool, too!)
First of all, chalkmarrow, this is very, very impressive. I don't know enough about Lorenz Attractors to be able to understand this by looking at it, but it sure looks cool. (Yeah.) Second of all, Canthiar, I don't have a doubt you can apply your 3D matrix code to this. I've learned from experience that creating a z-axis is surprisingly easy (see my 3D gravity projects and what I do with those to create the effect). I don't know so much about 3D Lorenz attractors, but I've seen enough of your work, Mr. Canthiar, to know that you can do pretty much just about ANYTHING.
I might try to see if it's possible to apply my 3D matrix code to this.
I was wondering the same thing. It would be better if the program allowed the reynolds number, etc. to be varied, and if you could view it from different angles, but I'm not quite that ambitious at the moment lol...
I was wondering when somebody was going to do an attractor in Scratch.