latex-pictures

A collection of TikZ drawings and other images 🖌️

coxerter-group-reflections.tikz (891B)

 1 % This picture represents the action of the action of the generators of the
 2 % Coxerter group of the complete graph of four vertices corresponding to the
 3 % nodes in a maximal free 3-gon
 4 % Copyright Pablo (C) 2021
 5 \begin{tikzpicture}[scale=.85]
 6     \draw (-1.17265, 0) -- (4, 0) node[above]{$a$};
 7 
 8     % The action of b in the plane (reflection by this line)
 9     \draw[shift={(-0.57735, -1)}] (0, 0) node[left]{$b$}         -- ( 60:3.5);
10 
11     % The action of bab^(-1) in the plane (reflection by this line)
12     \draw[shift={( 0.57735, -1)}] (0, 0) node[right]{$bab^{-1}$} -- (120:3.5);
13 
14     % The action of c in the plane (reflection by this line)
15     \draw[shift={( 2.42265, -1)}] (0, 0) node[right]{$c$}        -- (120:3.5);
16 
17     % The action of cbab^(-1) in the plane (translation in this direction)
18     \draw[thick, ->] (0, 0) -- (30:3) node[right]{$\tau = cbab^{-1}$};
19 \end{tikzpicture}
20