# Truncated Cube

Edit and compile if you like:

\documentclass{article}
\usepackage{tikz}
\usepackage{tikz-3dplot}
\usepackage[active,tightpage]{preview}
\PreviewEnvironment{tikzpicture}
\setlength\PreviewBorder{0.125pt}
%
% File name: truncated-cube.tex
% Description:
% A geometric representation of truncated cube is shown.
%
% Date of last modification: October, 9th, 2022.
% Author: Efraín Soto Apolinar.
% https://www.aprendematematicas.org.mx/author/efrain-soto-apolinar/instructing-courses/
% Source: page 84 of the
% Glosario Ilustrado de Matem\'aticas Escolares.
% https://tinyurl.com/5udm2ufy
%
% According to TikZ.net
%
\begin{document}
\tdplotsetmaincoords{80}{115}
%
\begin{tikzpicture}[tdplot_main_coords]
% Change the value of the number at {\escala}{##} to scale the figure up or down
\pgfmathsetmacro{\escala}{1.25}
\pgfmathsetmacro{\a}{\escala*(0.5+1.0/sqrt(2.0))}
\pgfmathsetmacro{\b}{\escala*1.0/(2.0-2.0*sqrt(2.0))}
% Coordinates of the vertices
\coordinate(1) at (-0.5*\escala,\a,\a);
\coordinate(2) at (-0.5*\escala,\a,\b);
\coordinate(3) at (-0.5*\escala,\b,\a);
\coordinate(4) at (-0.5*\escala,\b,\b);
\coordinate(5) at (0.5*\escala,\a,\a);
\coordinate(6) at (0.5*\escala,\a,\b);
\coordinate(7) at (0.5*\escala,\b,\a);
\coordinate(8) at (0.5*\escala,\b,\b);
\coordinate(9) at (\a,-0.5*\escala,\a);
\coordinate(10) at (\a,-0.5*\escala,\b);
\coordinate(11) at (\a,0.5*\escala,\a);
\coordinate(12) at (\a,0.5*\escala,\b);
\coordinate(13) at (\a,\a,-0.5*\escala);
\coordinate(14) at (\a,\a,0.5*\escala);
\coordinate(15) at (\a,\b,-0.5*\escala);
\coordinate(16) at (\a,\b,0.5*\escala);
\coordinate(17) at (\b,-0.5*\escala,\a);
\coordinate(18) at (\b,-0.5*\escala,\b);
\coordinate(19) at (\b,0.5*\escala,\a);
\coordinate(20) at (\b,0.5*\escala,\b);
\coordinate(21) at (\b,\a,-0.5*\escala);
\coordinate(22) at (\b,\a,0.5*\escala);
\coordinate(23) at (\b,\b,-0.5*\escala);
\coordinate(24) at (\b,\b,0.5*\escala);
% faces with 3 vertices
\draw[red,thick,fill=cyan!35,opacity=0.75] (3) -- (17) -- (24) -- (3);
\draw[red,thick,fill=cyan!35,opacity=0.75] (22) -- (19) -- (1) -- (22);
\draw[red,thick,fill=cyan!35,opacity=0.75] (23) -- (18) -- (4) -- (23);
\draw[red,thick,fill=cyan!35,opacity=0.75] (2) -- (20) -- (21) -- (2);
% faces with 8 vertices
\draw[red,thick,fill=cyan!35,opacity=0.75] (3) -- (24) -- (23) -- (4) -- (8)
-- (15) -- (16) -- (7) -- (3);
\draw[red,thick,fill=cyan!35,opacity=0.75] (19) -- (22) -- (21) -- (20)
-- (18) -- (23) -- (24) -- (17) -- (19);
\draw[red,thick,fill=cyan!35,opacity=0.75] (6) -- (12) -- (10) -- (8) -- (4) -- (18) -- (20) -- (2) -- (6);
\draw[red,thick,fill=cyan!35,opacity=0.75] (1) -- (19) -- (17) -- (3) -- (7)
-- (9) -- (11) -- (5) -- (1);
\draw[red,thick,fill=cyan!35,opacity=0.75] (5) -- (14) -- (13) -- (6) -- (2) -- (21)
-- (22) -- (1) -- (5);
\draw[red,thick,fill=cyan!35,opacity=0.75] (9) -- (16) -- (15) -- (10) -- (12) -- (13)
-- (14) -- (11) -- (9);
% faces with 3 vertices
\draw[red,thick,fill=cyan!35,opacity=0.75] (8) -- (10) -- (15) -- (8);

\draw[red,thick,fill=cyan!35,opacity=0.75] (13) -- (12) -- (6) -- (13);
\draw[red,thick,fill=cyan!35,opacity=0.75] (16) -- (9) -- (7) -- (16);
\draw[red,thick,fill=cyan!35,opacity=0.75] (5) -- (11) -- (14) -- (5);
%
\end{tikzpicture}
\end{document}