Відео

What??? Please elaborate. Other people don't seem to have the problem that you have with this one.

I could derive the differential equations that match the code used here, and it wouldn't change how it looks. DEs are just one way of looking at a given phenomenon, though of course they are very useful in their own right. But for example, you can write Maxwell's equations in the integral form besides the DE form. (I have a master's degree in physics so I have a vague idea of these things.)

I agree :) You might like this too ua-cam.com/video/icQ1sjZfofw/v-deo.html

@@algoristo it looks really nice! i wish someday i would be able to create swirl transformations like that

In the earlier versions it was just colour on a smooth spherical surface. The vortex action would mix the existing colours into swirl patterns; new colour comes in from the source vortices, varying in time and/or space. Here it's just grayscale colours mapped into height, so there isn't any particular physical meaning. You can also look at the source vortices and see the source height change up and down.

no

Python and OpenGL

See the previous post, then add height mapping of colour value

​@algoristo i have no idea how you made your previous post either, would you please explain it?

@@willem7746 I can't teach you to code full OpenGL applications in a single comment, but you can start here: algoristo.com/tech/

No differential equations were involved, and it doesn't aim to be very realistic anyway. I've only set up a few Gaussian vortices - points are forced to move around the centres at a rate that varies like the bell curve. The total motion from all vortices is summed, and the vortex positions/strengths vary in a kind of random walk.

I think the common definition of a Hilbert curve means it's for integer dimensions only, as it's space-filling. As for non-integer dimensions, I'm only aware of real-valued ones in fractal contexts, I wouldn't know where to start with complex or quaternion values.

@@algoristoIt's just cool to think about. I myself think about these kinds of things very often.

algoristo.com/tech/rants.php#Free%20software

Interesting idea! I guess the tape length/speed could be adjusted to match the song length.

The classic soccer ball is a truncated icosahedron, which is a simpler example of Goldberg polyhedra. So it's quite possible, here's one example I've done earlier: ua-cam.com/users/shorts5bm1mcNsk30

This is not the original Game of Life, it's a variant that runs natively on the geodesic polyhedron. So there's no mapping onto the sphere.

@@algoristosee, you assumed that i thought it was the game of life, which i didn't, but it's also bold of you to assume i know what a geodesic is lmao

@@dottedboxguy OK, let's try again. When you said "i don't get how it maps onto a sphere so well", you were assuming there's something non-spherical being mapped onto a sphere. There isn't, the system is done directly in the final shape. I've seen a lot of comments about Game of Life here, so I probably confused some of them with yours -- sorry about that.

@@algoristoyea i worded it weirdly, i do know these kinda CAs are a thing, i just never saw it represented this way and it sure is pretty cool edit : or more like i previously encountered this kind of CA, but projected onto a plane, and didn't realize it goes onto the surface of a sphere

This would make a kickass screensaver. Ngl I'd use a screensaver for the first time in 15+ years if I could have this as one.