使用 tikz 在复平面上绘制矩形

Question

如何使用 tikz 实现以下图形？

我到目前为止的尝试是

\documentclass{amsart}
\usepackage{tikz}
\usetikzlibrary{patterns}

\begin{document}
    \begin{tikzpicture}
        \draw (0,-3)--(0,3);
        \draw (4,-3)--(4,3);
        \draw (-.5,0)--(4.5,0);
        \draw [pattern = north east lines, pattern color = black] (0,-2) rectangle (4,2);
    \end{tikzpicture}   
\end{document}

产生

如何增加填充矩形的对角线之间的间距？

Answer 1

TikZ 定义north east lines使用

\pgfdeclarepatternformonly{north east lines}{\pgfqpoint{-1pt}{-1pt}}{\pgfqpoint{4pt}{4pt}}{\pgfqpoint{3pt}{3pt}}%
{
  \pgfsetlinewidth{0.4pt}
  \pgfpathmoveto{\pgfqpoint{0pt}{0pt}}
  \pgfpathlineto{\pgfqpoint{3.1pt}{3.1pt}}
  \pgfusepath{stroke}
}

其中它似乎定义了一个从第一个点到第二个点的矩形，并从第三个点开始重复。

\documentclass{amsart}
\usepackage{tikz}
\usetikzlibrary{patterns}

\pgfdeclarepatternformonly{my lines}{\pgfqpoint{-1pt}{-1pt}}{\pgfqpoint{10pt}{10pt}}{\pgfqpoint{9pt}{9pt}}%
{
  \pgfsetlinewidth{0.4pt}
  \pgfpathmoveto{\pgfqpoint{0pt}{0pt}}
  \pgfpathlineto{\pgfqpoint{9.1pt}{9.1pt}}
  \pgfusepath{stroke}
}

\begin{document}

    \begin{tikzpicture}
        \draw (0,-3)--(0,3);
        \draw (4,-3)--(4,3);
        \draw (-.5,0)--(4.5,0);
        \draw [pattern = my lines, pattern color = black] (0,-2) rectangle (4,2);
    \end{tikzpicture}
\end{document}