Kolibri

silviana amethyst

Equation ¶

\[ x^3+x^2z^2 - y^2 \]

Properties: ¶

degree 4
one singular line, and a singular point at the origin

Some story ¶

I feel like this one looks really different from the raytrace rendering in Herwig Hauser’s gallery. It printed super nicely, as did the blocky versions, in two colors. Unbounded, cut with a sphere of radius 10, and decomposed using a random projection.

Bertini_real input files ¶

input

%surface 'kolibri' from herwig hauser's algebraic surface gallery
CONFIG
tracktype: 1;
securitylevel:1
sharpendigits: 30;
condnumthreshold: 1e300;
odepredictor: 7;
finaltol: 1e-13;
numsamplepoints: 6;
endgamenum: 2;
maxstepsbeforenewton: 0;
maxnewtonits: 1;
END;
INPUT

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