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The blob in all its glory:

Twirl with your mouse

Bretzel surface. It would make a nice case if you filled in the central cavity with something interesting. http : // virtualmathmuseum.org/Surface/bretzel2/bretzel2.html Bretzel5,agenus5tubearoundtwointersectingellipses:f(x,y,z):=((x2+y2/4−1)·(x2/4+y2−1))2+z2/2.

$2 (x2 + \frac{y2}{4} - 1) \cdot (\frac{x2}{4} + y2 - 1) + \frac{z2}{2} ＝ 0$

Click on the snapshot to download the blob's stl file.

Octave Code:

1; # Prevent Octave from thinking that this is a function
   # though one is defined here
  #  This is a splat shaped blob, but symmetrical
   
  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.^2 + (y.^2)/4 - 1).*((x.^2)/4 + y.^2 - 1)).^2 + z.^2/2 - 0.0./(x.^4 + y.^4 + z.^4)-0.15  ;

   endfunction;

GNU Octave

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