# How to draw Temperley-Lieb diagrams in LaTeX?

Could someone please provide some sort of template for drawing some basic Temperley-Lieb diagrams in LateX?

I have tried using the tikz package, but am still unable to make any progress.

Here is one example of what such diagrams look like:

• My suspicion is that not everyone who uses *TeX knows what Temperley-Lieb diagrams are. Perhaps you could be both a little more helpful in what you are looking for and add some code that helps us understand what 'I have tried using the tikz package' means. – jon Mar 29 '17 at 3:11
• @jon Maybe the OP is waiting for Temperley-Lieb to show up? Presumably s/he/it knows? – cfr Mar 29 '17 at 3:27
• @cfr -- ha, indeed. Something/one must..! – jon Mar 29 '17 at 3:34

Here is some starting example :

\documentclass[tikz,border=7mm]{standalone}
% define some useful styles to draw the strings
\tikzset{
pt/.style={insert path={node[scale=2]{.}}},
dnup/.style={insert path={ [pt] .. controls +(0,1) and +(0,-1) .. +(#1,2) [pt]}},
dndn/.style={insert path={ [pt] .. controls +(0,1) and +(0,1) .. +(#1,0) [pt]}},
upup/.style={insert path={ [pt] .. controls +(0,-1) and +(0,-1) .. +(#1,0) [pt]}},
}

\begin{document}
\begin{tikzpicture}
\draw (0,0) rectangle (7,2);
\draw (1,0) [dnup=2];
\draw (1,2) [upup=1];
\draw (2,0) [dnup=2];
\draw (3,0) [dndn=1];
\draw (5,0) [dnup=0];
\draw (6,0) [dnup=0];
\end{tikzpicture}
\end{document}