Durchblick

silviana amethyst

Equation

\[ x^3 y+x z^3+y^3 z+z^3+5 z \]

Properties:

Some story

I feel like this print of Durchblick looks nothing like the one on Herwig Hauser’s gallery. I used a sphere of radius 5, and a random projection to decompose it.

Bertini_real input files

input

CONFIG
tracktype: 1;
securitylevel:1
sharpendigits: 30;
condnumthreshold: 1e300;
odepredictor: 7;
finaltol: 1e-16;
numsamplepoints: 6;
endgamenum: 2;
maxstepsbeforenewton: 0;
maxnewtonits: 1;
END;
INPUT

variable_group x, y, z;
function f;
f = x^3*y+x*z^3+y^3*z+z^3+5*z;
END;