I have this code for a torus in tikz:
\documentclass[tikz,border=3.14mm]{standalone}
\begin{document}
\begin{tikzpicture}
\draw (0,0) ellipse (1.6 and .9);
\begin{scope}[scale=.8]
\path[rounded corners=24pt] (-.9,0)--(0,.6)--(.9,0) (-.9,0)--(0,-.56)--(.9,0);
\draw[rounded corners=28pt] (-1.1,.1)--(0,-.6)--(1.1,.1);
\draw[rounded corners=24pt] (-.9,0)--(0,.6)--(.9,0);
\end{scope}
\end{tikzpicture}
\end{document}
I would like a simple way to triangulate this picture to illustrate how we triangulate topological spaces. Thanks in advance for any help.