Rolling fractals

[Syntopia]

i made a shader with the rolling circles
the problem i have is to draw the line...
http://glsl.heroku.com/e#14650.0

I think yase.chnk.us is a better fit for drawing these kind of images using WebGL. This uses GPU calculated point coordinates, instead of using a fullscren shader.

I ported your example here: http://goo.gl/Ql6Aic

[cKleinhuis]

I think yase.chnk.us is a better fit for drawing these kind of images using WebGL. This uses GPU calculated point coordinates, instead of using a fullscren shader.

I ported your example here: http://goo.gl/Ql6Aic

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woot, great visualisation, too bad they not provide sliders now, what about extending it to spheres

[Syntopia]

Yo

woot, great visualisation, too bad they not provide sliders now, what about extending it to spheres

I think you can extend to 3D by making the rotation 3D, e.g: http://goo.gl/x5YuUj

[cKleinhuis]

Yo
I think you can extend to 3D by making the rotation 3D, e.g: http://goo.gl/x5YuUj

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sweee-heeet!

[tly]

awesome

[knighty]

Yes!
 

[youhn]

... 4D 



Or let it rotate in even bigger n-dimensional spaces and project back to 2D or 3D. Wish I had training some more math ...

[eiffie]

Love that 3d!

[Dinkydau]

That's awesome in 3d. Nice work

[kram1032]

That 3D rolling fractal looks amazing!
I'd love to see how it is created though. Like, an animation of how it grows with all the, presumably, spheres that roll around each other.
It very much looks like a leaf-fractal, though I wonder whether there is some logical way to "fill in" the middle parts to get some additional internal structures.

EDIT: Oh wait, the way you coded this, wouldn't that be, like, tori circling each other? E.g. two orthogonal circles?
Really pretty results for sure. I wonder what other interesting base geometries could be used though.

And doing something with projective geometry could give interesting roughly plane-filling patterns.

[tly]

i think circle inversions could be interesting too

[youhn]

I think yase.chnk.us is a better fit for drawing these kind of images using WebGL. This uses GPU calculated point coordinates, instead of using a fullscren shader.

I ported your example here: http://goo.gl/Ql6Aic

Played around with your code to create this: http://yase.chnk.us/#x44

[kram1032]

While I know that that's just noise, I really like how it seems to move like fire when it's especially rolled-up.

[youhn]

For those circle-in-circle things that pretty much fill up the whole space - or so it seems from a distance - could we not better wrap a sheet tightly around it and focus on that ... ?

[laser blaster]

I was playing around with "yet another shader editor",and I came up with an interesting kind of fractal that's similar to these rolling fractals, but different.

http://yase.chnk.us/#zjq

The fractal is made by adding a bunch of cosine waves together, with each successive wave having triple the frequency and 1/sqrt(3) the amplitude of the last. It looks very IFS-ish, but more varied. It's justa  parametric curve with the x and y positions being phase-shifted versions of teh same fractal wave. I also vary the phase over time. One thing I found striking was how the black, unfilled areas resemble distorted mandelbrot-like features, like the kind you get when you don't start iterating at the critical points, or in odd variants like Rudy Rucker's cubic mandelbrot.

http://yase.chnk.us/#prb
Here's a 3D one. For this one, instead of using cosine functions to make the fractal, I used cos(t+cos(3t)). It gives a little bit more interesting shapes.

http://yase.chnk.us/#5zz
This one's a 2D version of the last.