Dan-Piker

//Moebius transformations in 3d, by reverse stereographic projection to the 3-sphere,
//rotation in 4d space, and projection back.
//by Daniel Piker 09/08/20
//Feel free to use, adapt and reshare. I'd appreciate a mention if you post something using this.
//You can also now find this transformation as a component in Grasshopper/Rhino
//I first wrote about these transformations here:
//https://spacesymmetrystructure.wordpress.com/2008/12/11/4-dimensional-rotations/

//If you want to transform about a given circle. Points on the circle and its axis stay on those curves.
//You can skip these 2 lines if you want to always use the origin centred unit circle.

Dan-Piker

  public class circfill : GoalObject
  {
    double diam;
    double change;
    double prevMin;
    double ratio;
    Curve Crv;

    public circfill(Point3d[] P, Curve C, double k)

Dan-Piker

    KPlanktonMesh ma = mesh.ToKPlanktonMesh();
    double[] weightsA = new double[3]{4 / 7f,2 / 7f,1 / 7f};
    double[] weightsB = new double[3]{4 / 7f,1 / 7f,2 / 7f};
    for(int k = 0;k < level;k++)
    {
      KPlanktonMesh mb = new KPlanktonMesh();
      var hes = ma.Halfedges;
      for(int i = 0;i < hes.Count;i++)
      {
        var next = hes[hes[i].NextHalfedge];

Dan-Piker

    Mesh m = new Mesh();
    int uc = pa.Count;
    int vc = pb.Count;
    for(int u = 0;u < uc;u++)
    {
      for(int v = 0;v < vc;v++)
      {
        Point3d p0 = pa[u] * v / (vc - 1) + pc[uc - 1 - u] * (vc - 1 - v) / (vc - 1);
        Point3d p1 = pd[v] * (uc - 1 - u) / (uc - 1) + pb[vc - 1 - v] * u / (uc - 1);
        Point3d p2 =