latex-pictures

A collection of TikZ drawings and other images 🖌️
complex-lattice.tikz (1164B)

 1 % This picture represents a complex lattice with two linearly independent
 2 % periods
 3 % Copyright Pablo (C) 2021
 4 \begin{tikzpicture}[>=triangle 45, scale=0.7]
 5   % The axis
 6   \draw[line width=0.6pt] (0, -1) -- (0, 4);
 7   \draw[line width=0.6pt] (-1, 0) -- (6, 0);
 8 
 9   % The background grid
10   \foreach \x in {-1,,1,2,3,4,5,6}
11   \draw[dotted, line width=0.6pt] (\x, -1) -- (\x, 4);
12   \foreach \y in {-1,,1,2,3,4}
13   \draw[dotted, line width=0.6pt] (-1, \y) -- (6, \y);
14 
15   % The lattice
16   \begin{scope}
17     \clip(-1, -1) rectangle (6, 4);
18 
19     \foreach \i in {-1,0,1,2}
20     {
21       \begin{scope}[shift={({\i * (3 - 1/2)}, 0)}]
22         \draw[line width=0.6pt, color=cyan] (-.5, -1) -- (2, 4);
23       \end{scope}
24 
25       \begin{scope}[shift={(0, {\i * (2 - 1/3)})}]
26         \draw[line width=0.6pt, color=cyan] (-1, {-1/3}) -- (6, 2);
27       \end{scope}
28     }
29   \end{scope}
30 
31   % The generators of the lattice
32   \draw[->, >=stealth, line width=0.8pt, color=blue] (0, 0) -- (1, 2);
33   \draw[->, >=stealth, line width=0.8pt, color=blue] (0, 0) -- (3, 1);
34   \draw[line width=0.8pt, color=blue] (4, 3)-- (3, 1);
35   \draw[line width=0.8pt, color=blue] (4, 3)-- (1, 2);
36 \end{tikzpicture}