Toroidal Polyhedron

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\documentclass{article}
\usepackage{tikz}
\usepackage{tikz-3dplot}
\usetikzlibrary{patterns}
\usetikzlibrary{math}
\usepackage[active,tightpage]{preview}
\PreviewEnvironment{tikzpicture}
\setlength\PreviewBorder{0.125pt}
%
% File name: toroidal-polyhedron.tex
% Description: 
% A geometric representation of toroidal-polyhedron is shown.
% 
% Date of creation: July, 06th, 2021.
% Date of last modification: October, 9th, 2022.
% Author: Efraín Soto Apolinar.
% https://www.aprendematematicas.org.mx/author/efrain-soto-apolinar/instructing-courses/
% Source: page 351 of the 
% Glosario Ilustrado de Matem\'aticas Escolares.
% https://tinyurl.com/5udm2ufy
%
% Terms of use:
% According to TikZ.net
% https://creativecommons.org/licenses/by-nc-sa/4.0/
% Your commitment to the terms of use is greatly appreciated.
%
\begin{document}
    %
    \tdplotsetmaincoords{35}{115}
    %
    \begin{tikzpicture}[tdplot_main_coords,scale=0.85]
    \pgfmathsetmacro{\rInt}{2.5}    % inner radius
    \pgfmathsetmacro{\rExt}{4.0}    % outer radius
    \pgfmathsetmacro{\r}{0.5*(\rInt+\rExt)}
    \pgfmathsetmacro{\h}{0.5*(\rExt-\rInt)}
    \pgfmathsetmacro{\n}{5} % number of pseudovertices of the toroidal polyhedron
    \pgfmathsetmacro{\anguloi}{30}
    \pgfmathsetmacro{\angulo}{360.0/\n}
    \pgfmathsetmacro{\criterio}{int(0.5*\n)}
    \pgfmathsetmacro{\pxn}{\r*cos(0.5*\anguloi)}
    \pgfmathsetmacro{\pyn}{\r*sin(0.5*\anguloi)}        
 
 
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