4d-lattice.tex

% Copyright © 2016-2018 Martin Ueding <martin-ueding.de>
% Licensed under CC-BY 4.0

\documentclass{scrartcl}

\pagestyle{empty}

\usepackage{tikz}

\usetikzlibrary{arrows.meta}
\usetikzlibrary{calc}
\usetikzlibrary{positioning}
\usetikzlibrary{decorations}
\usetikzlibrary{decorations.markings}

\begin{document}

\newcommand\xMax{2}
\newcommand\yMax{2}
\newcommand\zMax{2}

\begin{tikzpicture}[
        scale=1.0,
        x={(0:10mm)},
        y={(90:10mm)},
        z={(31:7mm)},
    ]
    \foreach \x in {0,...,\xMax}
    \foreach \y in {0,...,\yMax}
    \foreach \z in {0,...,\zMax}
    {
        \fill (\x, \y, \z) circle (2pt);
        \draw[very thin] (\x, \y, \z) -- ++(110:3mm);
    }

    \foreach \x in {1,...,\xMax}
    \foreach \y in {0,...,\yMax}
    \foreach \z in {0,...,\zMax}
    \draw (\x, \y, \z) -- ++(-1, 0, 0);

    \foreach \x in {0,...,\xMax}
    \foreach \y in {1,...,\yMax}
    \foreach \z in {0,...,\zMax}
    \draw (\x, \y, \z) -- ++(0, -1, 0);

    \foreach \x in {0,...,\xMax}
    \foreach \y in {0,...,\yMax}
    \foreach \z in {1,...,\zMax}
    \draw (\x, \y, \z) -- ++(0, 0, -1);
\end{tikzpicture}

\end{document}