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how to create this kind of spline effect SOLVED

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hi, I want to recreate this beautiful splines effect which is in the showreel of X-particles. However I tried many ways, strange attractor, newton gravity, flow field, nothing works.

I don't know if the splines were created by particle trails or just cloner ways. I tried everything but couldn't find a way to make it.

hope someone can give me some tips,  thanks.



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@Mike Batchelor

thanks for help. I played strange attractors for a while and finally I got this.   I used lorenz attractorand there are a lot of video on youtube about this mathmatic butterfly pattern .




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