Plop

silviana amethyst

Equation

\[ x^2 + (z+y^2)^3 \]

Properties:

Some story

I wish I understood why this surface makes a sound. I personally haven’t dropped it in water or mud, but I bet it’s not an especially pronounced plop.

Decomposed using a random projection, and a bounding sphere of radius 5.

Bertini_real input files

input

% surface 'plop'
% http://homepage.univie.ac.at/herwig.hauser/bildergalerie/gallery.html
% http://homepage.univie.ac.at/herwig.hauser/bildergalerie/gallery/plop.jpg
% a degree six surface in three variables.
CONFIG
tracktype: 1;
securitylevel:0;
sharpendigits: 60;
condnumthreshold: 1e300;
odepredictor: 2;
finaltol: 1e-13;
numsamplepoints: 8;
endgamenum: 2;
maxstepsbeforenewton: 1;
maxnewtonits: 2;
END;
INPUT

variable_group x, y, z;
function f;
f = x^2 + (z+y^2)^3;
END;