Implicitmesh
These examples illustrate how to use the implicitmesh module to
generate surfaces described as the zero set of a scalar function. The
sphere.morpho and torus.morpho examples are described more fully in
Chapter X, Section Y. The remaining threesurface.morpho creates a
triangulation of a surface with three handles,
$$r_{z}^{4}z^{2}-\left(1-\left(\frac{x}{r_{x}}\right)^{2}-\left(\frac{y}{r_{y}}\right)^{2}\right)\left((x-x_{1})^{2}+y^{2}-r_{1}^{2}\right)\left((x+x_{1})^{2}+y^{2}-r_{1}^{2}\right)\left(x^{2}+y^{2}-r_{1}^{2}\right)=0,$$
where \(r_{x}\), \(r_{y}\), \(r_{z}\), \(r_{1}\) and \(x_{1}\) are parameters. The
resulting surface is shown in Fig.
7.7.
implicitmesh
module.