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-\title{Hilbert Curves}
-\author{}
-\date{}
-
-\documentclass{tufte-handout}
-
-\usepackage{tikz}
-
-\usepackage[active,tightpage]{preview}
-\PreviewEnvironment{tikzpicture}
-\usetikzlibrary{lindenmayersystems,positioning}
-
-\begin{document}
-
-\pgfdeclarelindenmayersystem{Hilbert curve}{
- \symbol{X}{\pgflsystemdrawforward}
- \symbol{+}{\pgflsystemturnright} % Explicitly define + and - symbols.
- \symbol{-}{\pgflsystemturnleft}
- \rule{A -> +BX-AXA-XB+}
- \rule{B -> -AX+BXB+XA-}
-}
-
-\def\scalefac{0.6}
-% Draw a hilbert curve of order n
-% Usage:
-% \hilbertvurve[scale]{order}
-\newcommand\hilbertcurve[2][1]{
-\tikz \draw[scale=\scalefac*#1,rotate=90,lindenmayer system={Hilbert curve, axiom=A, order=#2,angle=90}]
- lindenmayer system;
-}
-\maketitle
-
-\begin{figure}[h!]
-\begin{tikzpicture}[node distance=0cm,every path/.style={thin}]
- \node[label={above:$n=1$}] (n1) {\hilbertcurve[18]{1}};
- \node[label={above:$n=2$},right=of n1] (n2) {\hilbertcurve[6]{2}};
- \node[label={above:$n=3$},right=of n2] (n3) {\hilbertcurve[2.6]{3}};
- \node[label={above:$n=4$},right=of n3] (n4) {\hilbertcurve[1.2]{4}};
- \node[label={above:$n=5$},right=of n4] (n5) {\hilbertcurve[0.58]{5}};
-\end{tikzpicture}
-\end{figure}
-
-\end{document}