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Boolean Hyperplane Arrangement in TikZ
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| % Built based on https://tikz.net/3d-plane-and-normal-vector/ | |
| \documentclass[crop,tikz]{standalone} | |
| \usepackage{tikz} | |
| \usepackage{tikz-3dplot} | |
| \usetikzlibrary{matrix,math,tikzmark,intersections,through,backgrounds,shadows,scopes,fit,calc,patterns,quotes,arrows.meta,positioning, shapes.geometric} | |
| \definecolor{clr1}{RGB}{228,26,28} | |
| \definecolor{clr2}{RGB}{55,126,184} | |
| \definecolor{clr3}{RGB}{77,175,74} | |
| \definecolor{clr4}{RGB}{152,78,163} | |
| \begin{document} | |
| \begin{tikzpicture}[x={(1cm,.2cm)}, y={(.5cm, -.5cm)}, z={(0cm,1.1cm)}, scale=1] | |
| \begin{scope} | |
| %Axis | |
| \node[yshift=-.2em] (O) at (0,0,0) {}; | |
| \def\s{1.7} | |
| \def\p{1.1} | |
| \draw[-latex] (-\s,0,0) -- (\s,0,0) node[pos = 1.05] {$x$}; | |
| \draw[-latex] (0,-\s,0) -- (0,\s,0) node[pos = 1.08] {$y$}; | |
| \draw[-latex] (0,0,0) -- (0,0,\s) node[pos = 1.08] {$z$}; | |
| \coordinate (e1) at (1, 0, 0); | |
| \coordinate (e2) at (0, 1, 0); | |
| \coordinate (e3) at (0, 0, 1); | |
| \coordinate (x1) at (0, \p, \p); | |
| \coordinate (x2) at (0, \p, -\p); | |
| \coordinate (x3) at (0, -\p, -\p); | |
| \coordinate (x4) at (0, -\p, \p); | |
| \path[draw=black, fill=clr3, thick, opacity=.25] (x1) -- (x2) -- (x3) -- (x4) -- (x1); | |
| \coordinate (y1) at ( \p, 0, \p); | |
| \coordinate (y2) at ( \p, 0, -\p); | |
| \coordinate (y3) at (-\p, 0, -\p); | |
| \coordinate (y4) at (-\p, 0, \p); | |
| \path[draw=black, fill=clr2, thick, opacity=.25] (y1) -- (y2) -- (y3) -- (y4) -- (y1); | |
| \coordinate (z1) at ( \p, \p, 0); | |
| \coordinate (z2) at ( \p, -\p, 0); | |
| \coordinate (z3) at (-\p, -\p, 0); | |
| \coordinate (z4) at (-\p, \p, 0); | |
| \path[draw=black, fill=clr1, thick, opacity=.25] (z1) -- (z2) -- (z3) -- (z4) -- (z1); | |
| \draw[-{Latex[length=2mm]}, thick, font=\scriptsize, clr3] (0, 0, 0) to node[at end, left, yshift=.4em]{$\mathbf{e}_1$} (e1); | |
| \draw[-{Latex[length=2mm]}, thick, font=\scriptsize, clr2] (0, 0, 0) to node[at end, left, xshift=-.1em]{$\mathbf{e}_2$} (e2); | |
| \draw[-{Latex[length=2mm]}, thick, font=\scriptsize, clr1] (0, 0, 0) to node[at end, left, xshift=.1em]{$\mathbf{e}_3$} (e3); | |
| \end{scope} | |
| \end{tikzpicture} | |
| \end{document} |
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