Tobel

silviana amethyst

Equation

\[ x^3z+x^2+yz^3+z^4 = 3xyz \]

Properties:

Some story

I really like Tobel. It’s smooth flowing curves and voids attract my eye and hand. In my mind, it evokes a feeling akin to that of Eistute

To print Tobel gave me trouble, but neither for mathematical nor computational reasons. I battled for four months a persistent failure problem on one of my printers, and this was the test piece. Why did I choose Tobel? It was next in the sequence to print (thanks Foong Min Wong!) and especially beautiful to me. The persistent failure was eventually solved by running a grounding wire to the extruder motor.

Bertini_real input files

input

CONFIG
randomseed: 1;
endgamebdry: 0.01;
tracktype: 1;
securitylevel:0;
sharpendigits: 50;
condnumthreshold: 1e300;
odepredictor: 5;
%finaltol: 1e-16;
numsamplepoints: 4;
endgamenum: 2;
maxstepsbeforenewton: 1;
maxnewtonits: 2;
END;
INPUT

variable_group x, y, z;
function f;
f = x^3*z + x^2 + y*z^3 + z^4 - 3*x*y*z;
END;