Solitude

silviana amethyst

Equation ¶

\[ x^2yz+xy^2+y^3+y^3z = x^2z^2 \]

Properties: ¶

degree 4
unbounded
two singular curves of degree 1, which intersect at the origin
two holes. the small hole in the print is not a mistake

Some story ¶

This was one of the first surfaces I had printed, and continues to be a challenge to print well. Because of the ways the surface folds, it requires a lot of support to print well.

The one shown here was printed at the NCSU library’s UPrint, from ABS supported by HIPS. I merely provided the model.

Bertini_real input files ¶

input

CONFIG
randomseed: 1;
tracktolbeforeeg: 1e-8;
tracktype:1;
securitymaxnorm: 1e16;
condnumthreshold: 1e160;
SINGVALZEROTOL: 1e-140;
sharpendigits: 24;
END;
INPUT

variable_group x, y, z;
function f;
f = x^2*y*z +x*y^2+y^3+y^3*z-x^2*z^2;
END;