randomwalk.tex

% random walking according to own experimentations and based on TikZ manual, as
% shown here: http://tex.stackexchange.com/a/11682/828
\documentclass{article}
\usepackage{tikz}
\usepackage[outline]{contour}
\usepackage[active,tightpage]{preview}
	\PreviewEnvironment{tikzpicture}

\begin{document}

\pgfmathsetseed{1796}

\begin{tikzpicture} [thick, line cap=round]
	\foreach \i in {1,...,10} {
		\draw [nearly transparent] (0,0) circle (\i);
	};
 	% simplest way
	\draw [red, rounded corners] (0,0) 
		\foreach \i in {1,...,100} { 	-- ++(rand,rand)};
	% angle way, with defined step length
	\draw [rounded corners, green] (0,0)
		\foreach \i in {1,...,100} { -- ++(rand*360:1)};
	% color the path
	% along the way we have to save where we've been at
	% we cannot easily use 'rounded corners', look at the example linked above
	% (on line 2) if you'd like to do that, since it's more complicated\ldots
	\coordinate (current point) at (0,0);
	\foreach \i in {0,...,100} {
		\draw [blue!\i] (current point) -- ++(rand,rand) node (new point) {};
		\coordinate (current point) at (new point);
		}
	\fill (0,0) circle (0.125) node [below] {\contour{white}{Start}};	
\end{tikzpicture}

\end{document}