Zeck
silviana amethyst

Equation ¶
\[ x^2+y^2-z^3(1-z) =0 \]Properties: ¶
- degree 4
- almost smooth, except for a point singularity at the origin
- bounded, contained in a (closed) sphere of radius 1


Some story ¶
Zeck computed very nicely for me. Using a random projection It folded down into merely two faces. The blocky version looks nothing like what the actual surfaces does.
Bertini_real input files ¶
input
CONFIG
tracktype: 1;
END;
INPUT
variable_group x, y, z;
function f;
f = x^2+y^2-z^3*(1-z);
END;