A Galton board (or bean machine, or quincunx) to illustrate a random walk.
Edit and compile if you like:
% Author: Izaak Neutelings (March 2019) \documentclass[border=3pt,tikz]{standalone} \tikzset{>=latex} % for LaTeX arrow head \tikzstyle{block}=[inner xsep=8,inner ysep=9,fill=red!60!black] \tikzstyle{bin}=[inner xsep=8,inner ysep=3,fill=white,above=1] \tikzstyle{arrow}=[->,thick,thick,blue!50!black,shorten <=1,shorten >=4] \begin{document} % RANDOM WALK \begin{tikzpicture} \def\w{1} \def\h{.8} \def\bin{++ (\w/2,.3*\h) |-++ (-\w,-.4*\h) --++ (0,.4*\h)} \node[block] (S1-1) at (0,0) {}; \node[block] (S2-1) at (-\w,-\h) {}; \node[block] (S2-2) at (\w,-\h) {}; \node[block] (S3-1) at (-2*\w,-2*\h) {}; \node[block] (S3-2) at (0,-2*\h) {}; \node[block] (S3-3) at (2*\w,-2*\h) {}; \node[bin] (S4-1) at (-3*\w,-3*\h) {0}; \node[bin] (S4-2) at (-\w,-3*\h) {1}; \node[bin] (S4-3) at (\w,-3*\h) {2}; \node[bin] (S4-4) at (3*\w,-3*\h) {3}; %\coordinate (S4-1) at (-3*\w,-2.5*\h); %\coordinate (S4-2) at (-\w,-2.5*\h); %\coordinate (S4-3) at (\w,-2.5*\h); %\coordinate (S4-4) at (3*\w,-2.5*\h); \fill[blue!40!black] (90:0.6*\h) circle (2pt); % ROW 1 \draw[arrow] (S1-1.110) to[out=110,in= 80,looseness=1.5] (S2-1.85) node[midway,above left=15,blue!40!black] {L}; \draw[arrow] (S1-1. 70) to[out= 70,in=100,looseness=1.5] (S2-2.95) node[midway,above right=15,blue!40!black] {R}; % ROW 2 \draw[arrow] (S2-1.110) to[out=110,in= 80,looseness=1.2] (S3-1.85); \draw[arrow] (S2-1. 70) to[out= 70,in=100,looseness=1.2] (S3-2.95); \draw[arrow] (S2-2.110) to[out=110,in= 80,looseness=1.2] (S3-2.85); \draw[arrow] (S2-2. 70) to[out= 70,in=100,looseness=1.2] (S3-3.95); % ROW 3 \draw[arrow] (S3-1.110) to[out=110,in= 70,looseness=1.2] (S4-1.85); \draw[arrow] (S3-1. 70) to[out= 70,in=110,looseness=1.2] (S4-2.95); \draw[arrow] (S3-2.110) to[out=110,in= 70,looseness=1.2] (S4-2.85); \draw[arrow] (S3-2. 70) to[out= 70,in=110,looseness=1.2] (S4-3.95); \draw[arrow] (S3-3.110) to[out=110,in= 70,looseness=1.2] (S4-3.85); \draw[arrow] (S3-3. 70) to[out= 70,in=110,looseness=1.2] (S4-4.95); % BIN \draw[line width=2] (S4-1.south) \bin; \draw[line width=2] (S4-2.south) \bin; \draw[line width=2] (S4-3.south) \bin; \draw[line width=2] (S4-4.south) \bin; \end{tikzpicture} \end{document}
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