# Wyckoff Positions

2D toy crystal with three occupied Wyckoff positions. The shaded areas illustrate the region of the unit cell the relevant atoms are constrained to lie in by specifying an anonymized Wyckoff position for that atom.
Reproduction of fig. 2 from “Wyckoff Set Regression for Materials Discovery” by Rhys Goodall, adapted from https://pyxtal.readthedocs.io/en/latest/Background.html#wyckoff-positions.

Edit and compile if you like:

% 2D toy crystal with three occupied Wyckoff positions. The shaded areas illustrate the region of the unit cell the relevant atoms are constrained to lie in by specifying an anonymized Wyckoff position for that atom.
% Reproduction of fig. 2 from "Wyckoff Set Regression for Materials Discovery" by Rhys Goodall, adapted from https://pyxtal.readthedocs.io/en/latest/Background.html#wyckoff-positions.

\documentclass[tikz]{standalone}

\begin{document}
\begin{tikzpicture}[thick]
\def\r{5}
\fill[teal!60] (\r,-\r) -- (0,0) -- (\r,0) -- cycle;
\fill[yellow!60] (\r,-\r) -- (0,0) -- (0,-0.\r) -- (4.\r,-\r) -- cycle;
\fill[red!60] (0,0) rectangle (\r,0.3\r);
\draw (-\r,-\r) rectangle (\r,\r);
\draw[dashed] (-\r,-\r) -- (\r,\r) (\r,-\r) -- (-\r,\r) (-\r,0) -- (\r,0) (0,-\r) -- (0,\r);

\foreach \a in {-0.8*\r,0.8*\r}
\foreach \b in {-0.8*\r,0.8*\r}
\draw[fill=yellow!60] (\a,\b) +(-0.3,-0.3) rectangle +(0.3,0.3);

\foreach \a in {-0.7*\r,0.7*\r} {
\draw[fill=red!60] (\a,0) circle (0.3);
\draw[fill=red!60] (0,\a) circle (0.3);
}

\foreach \i in {1,...,8}
\draw[rotate=45,fill=teal!60] (\i*360/8+22.5:2cm) +(-0.3,-0.3) rectangle +(0.3,0.3);
\end{tikzpicture}
\end{document}