Blob Farm

blob29

The blob in all its glory:

Twirl with your mouse

Rectangular case, inverted on a sphere, definitely a starting point for a case.

Click on the snapshot to download the blob's stl file. ../snapshots/blob29.png
Octave Code:
  # name of the blob
  project = "blob29";  
   
  function w = f(x2,y2,z2,c,r,e) 
   x  = (x2-c(1))/r(1);
   y  = (y2-c(2))/r(2);
   z  = (z2-c(3))/r(3);
   # function at origin must be <0, and >0 far enough away.  w=0 defines the surface

   w=x.^6+y.^6+z.^6 - 1.0;

   endfunction;

  # this is for distorting the grid before applying the function
  # note that the undistorted grid will be used to make the stl file
  # just set it to x3=x; y3=y; z3=z; if no warping is needed.
  function [x3,y3,z3]= prewarp(x,y,z)
    R =150;  # center of sphere is at (R+X0,0,0) with radius R (passing through (X0,0,0) ) 
    X0 = 0; # this means that parts of the blob near [X0,0,0] will stay near that point.
    # calculate the inverted coordinate of each point in the 3D grid (x3,y3,z3)
    x2 = x-R-X0;  y2=y;   z2 = z; # intermediate values
    r2 = R*R./(x2.^2+y2.^2+z2.^2);
    x3 = x2.*r2+R+X0;  y3 = y2.*r2;  z3 = z2.*r2; 
  endfunction;

  c_outer = [-40,0,0];
  r_outer = [50,100,50]; 

   
  step = 4;  # grid pitch in mm  start with 4mm to see the shape quickly.  Once you have it just right, change to 2mm for printing

  source("../octave/func2stl_v01.m");  # do all the calculations

GNU Octave