Rhombic Dodecahedron and Escher Solid

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\documentclass{article}
\usepackage{tikz}
\usetikzlibrary{patterns}
%\usetikzlibrary{math}
\usepackage{tikz-3dplot}
\usepackage[active,tightpage]{preview}
\PreviewEnvironment{tikzpicture}
\setlength\PreviewBorder{0.125pt}
%
% File name: rhombic-dodecahedron-and-escher-solid.tex
% Description: 
% A geometric representation of the construction of an 
% escher-solid as the stellation of a rhombic dodecahedron is shown.
% 
% Date of creation: June, 26th, 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 175 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{80}{115}
%
\begin{tikzpicture}[tdplot_main_coords]
    % Change the value of the number at {\arista}{##} to scale the figure up or down
    \pgfmathsetmacro{\arista}{2.25}
    \pgfmathsetmacro{\unidad}{1.0}
    % Coordinates of the vertices
    \coordinate (1) at (\arista,-\arista,0);
    \coordinate (2) at (\arista,\arista,0);
    \coordinate (3) at (-\arista,\arista,0);
    \coordinate (4) at (-\arista,-\arista,0);
    \coordinate (5) at (\arista,0,\arista);
    \coordinate (6) at (\arista,0,-\arista);
 
 
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