Polsterzipf

polsterzipf_tan_black

Equation

\[ (x^3-1)^2+(y^3-1)^2+(z^2-1)^3 \]

Properties:

  • degree 6
  • four singular points, smooth otherwise
  • bounded,
polsterzipf_tan_black2
polsterzipf_tan_pair

Some story

I just love the way this surface looks. From the raytrace on Herwig Hauser's gallery, it's clear the surface has at least four singularities. And that's just how many it has. They occur at (1,0,0), (0,1,0), (1,1,1), and (1,1,-1).

polsterzipf_matlab_points

input