Polsterzipf

silviana amethyst

Equation ¶

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

Properties: ¶

degree 6
four singular points, smooth otherwise
bounded,

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).

Bertini_real input files ¶

input

CONFIG
tracktype: 1;
sharpendigits: 50;
END;
INPUT

variable_group x,y,z;
function f;
f = (x^3-1)^2 + (y^3-1)^2+ (z^2-1)^3;
END;