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  1. This is doing something.

    Trying separate the growth axis. The reaction diffusion pushes in the normal direction and I increase edge length in the transverse direction.

    I'm weighting the growth using the principle directions of curvature that I get from local quadric fitting. It works OK.

    #mathart #GenerativeArt #GenArt #algoart #algorithmicart #sculpture #algorithmicsculpture #SciArt

  2. I've always been curious about the growth model @nervous_jesse developed so I thought I'd explore it a bit. Here is the model but with expansion governed by grey-scott reaction diffusion.

    #mathart #GenerativeArt #GenArt #algoart #algorithmicart #sculpture #algorithmicsculpture #SciArt

  3. This is the animation using the Darboux Cyclide signed distance field as a force in the elastic solver. It looks different than just a straight quadric. better?

    #mathart #GenerativeArt #GenArt #algoart #algorithmicart #sculpture #algorithmicsculpture #SciArt

  4. I was unsatisfied with how handles were resolving, and I found a solution using quadrics... but then I happened upon another implicit form which is even better,The Darboux Cyclide. The Darboux Cyclide is like a super torus...

    I have quite a bit more to learn, but it turns out least squared fitting of the Cyclide worked very similarly to fitting a quadric!

    #mathart #GenerativeArt #GenArt #algoart #algorithmicart #sculpture #algorithmicsculpture #SciArt

  5. Getting curves to coil into helices is marginally difficult. Projecting the curve locally into a cylinder and tweaking the axis/radius a little gets some nice coiling/buckling. It all descends into scribbles anyway.

    Thanks David Ebberly!!!

    #mathart #GenerativeArt #GenArt #algoart #algorithmicart #sculpture #algorithmicsculpture #SciArt

  6. OK, here's the whole thing together. Going to stitch 6 of these together for a submission to little group show. Not sure how to display the sequence, probably just s monitor or something. I have notes, but I think it will look out pretty nice, looping the day away.

    #mathart #GenerativeArt #GenArt #algoart #algorithmicart #sculpture #algorithmicsculpture #SciArt

  7. This is a funny one, trying to tween between two geodesic walks... basically I'm just literally using the vector difference between the two walks, then smearing it across the mesh using moving least squares. It works rather well...

    Also adding some forces and simulating the curve as a cosserat rod to make it look more dynamic.

    now there is a bug somewhere causing a crash. Damn mosquitoes!

    #mathart #GenerativeArt #GenArt #algoart #algorithmicart #sculpture #algorithmicsculpture #SciArt

  8. Just messing around with a PCA of the tangent point energy gradients... If you modify the direction of the gradient you can get pretty funny results.

    #mathart #GenerativeArt #GenArt #algoart #algorithmicart #sculpture #algorithmicsculpture #SciArt

  9. I fixed an issue with my nbody code... sometimes a push front won't do and you need a min heap... Anyway, vortex sim looks better.

    #mathart #GenerativeArt #GenArt #algoart #algorithmicart #sculpture #algorithmicsculpture #SciArt

  10. Ok, messing around with vortex sheets, for a bit. This is what got me started in moving meshes and my programming chops are a bit better... I need to come up with a way to move the camera a bit better...

    reference paper here:
    dl.acm.org/doi/pdf/10.5555/242

    #mathart #GenerativeArt #GenArt #algoart #algorithmicart #sculpture #algorithmicsculpture #SciArt

  11. Another one... I just kind of fire stuff off in the background and do the day job, rather than systematically exploring the space...

    #mathart #GenerativeArt #GenArt #algoart #algorithmicart #sculpture #algorithmicsculpture #SciArt