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1. 设法将曲线定位在每个要点的中心：

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1. 设法将曲线定位在每个要点的中心：

我想使用 Lindenmayer 系统在 LaTeX 中绘制 Z 曲线TikZ。但我没能将曲线置于每个要点的中心。此外，我找不到任何优雅的方法使所有曲线具有相同的大小。

以下是我得到的结果：

在此处输入图片描述

这是我的代码：

\documentclass[a4paper,11pt]{article}

\usepackage{graphicx}          
\usepackage{caption}
\usepackage{subcaption} 
\usepackage{tikz}


\begin{document}
\usetikzlibrary{lindenmayersystems}
\pgfdeclarelindenmayersystem{z-curve}{
\symbol{I}{\pgftransformscale{+0.25\pgflsystemstep}}
\symbol{p}{%
  \pgfpathmoveto{\pgfqpoint{1pt}{3pt}}\pgfpathlineto{\pgfqpoint{3pt}{3pt}}%
  \pgfpathlineto{\pgfqpoint{1pt}{1pt}}\pgfpathlineto{\pgfqpoint{3pt}{1pt}}%
}
\symbol{q}{%
  \pgfpathlineto{\pgfqpoint{1pt}{3pt}}\pgfpathlineto{\pgfqpoint{3pt}{3pt}}%
  \pgfpathlineto{\pgfqpoint{1pt}{1pt}}\pgfpathlineto{\pgfqpoint{3pt}{1pt}}%
}
\symbol{S}{\pgftransformscale{+0.5pt}}
\symbol{A}{\pgftransformshift{\pgfqpoint{0pt}{4pt}}}
\symbol{B}{\pgftransformshift{\pgfqpoint{4pt}{4pt}}}
\symbol{C}{\pgftransformshift{\pgfqpoint{4pt}{0pt}}}
\symbol{[}{\bgroup}
\symbol{]}{\egroup}
\rule{Z -> Ip}
\rule{p -> S[Ap][Bq][q][Cq]}
\rule{q -> S[Aq][Bq][q][Cq]}
}

\begin{figure}[ht]
\centering
\subcaptionbox{}
{\begin{tikzpicture}[scale=2]
\draw [l-system={z-curve, step=1cm, axiom=Z, order=1}] l-system;
\end{tikzpicture}}
\hspace{1cm}
\subcaptionbox{}
{\begin{tikzpicture}[scale=2]
\draw [l-system={z-curve, step=1cm, axiom=Z, order=2}] l-system;
\end{tikzpicture}}
\hspace{1cm}
\subcaptionbox{}
{\begin{tikzpicture}[scale=2]
\draw [l-system={z-curve, step=1cm, axiom=Z, order=3}] l-system;
\end{tikzpicture}}
\hspace{1cm}
\subcaptionbox{}
{\begin{tikzpicture}[scale=2]
\draw [l-system={z-curve, step=1cm, axiom=Z, order=4}] l-system;
\end{tikzpicture}}
\end{figure}

\end{document}

有什么建议我应该改变什么才能得到我想要的？

答案1

1. 设法将曲线定位在每个要点的中心：

我改变了符号 p 和 q（水平域：0pt改为2pt；而不是改为1pt）3pt，以实现水平居中。垂直方向也从 开始，0pt而不是1pt。使用 ，\draw(<x>,<y>)...您可以稍后任意放置曲线。例如使用\draw(0,0)。

\symbol{p}{%
  \pgfpathmoveto{\pgfqpoint{0pt}{2pt}}\pgfpathlineto{\pgfqpoint{2pt}{2pt}}%
  \pgfpathlineto{\pgfqpoint{0pt}{0pt}}\pgfpathlineto{\pgfqpoint{2pt}{0pt}}%
}
\symbol{q}{%
  \pgfpathlineto{\pgfqpoint{0pt}{2pt}}\pgfpathlineto{\pgfqpoint{2pt}{2pt}}%
  \pgfpathlineto{\pgfqpoint{0pt}{0pt}}\pgfpathlineto{\pgfqpoint{2pt}{0pt}}%
}

2. 所有曲线尺寸相同：

与\resizebox{<horizontal size>}{<vertical size>}{...}（参见：4.3.2 缩放至所需大小，手册第 8 页 [“‘graphics’ 包中的包”])，您可以设置 的水平和垂直尺寸tikzpicture。如果您希望tikzpicture按比例缩放 ，您可以指定其中一个尺寸并输入!另一个尺寸。

\resizebox{!}{2cm}{
\begin{tikzpicture}
\draw[black](0,0) l-system [l-system={z-curve, step=1cm, axiom=Z, order=1}];
\end{tikzpicture}
}

3.注意事项

我使用\subfloat并减少了包的导入，因为 TikZ 会graphicx自动加载。

结果：

在此处输入图片描述

梅威瑟：

\documentclass[a4paper,11pt]{article}
\usepackage{tikz}
\usepackage{subfig}
\begin{document}
\usetikzlibrary{lindenmayersystems}
\pgfdeclarelindenmayersystem{z-curve}{
\symbol{I}{\pgftransformscale{+0.25\pgflsystemstep}}
\symbol{p}{%
  \pgfpathmoveto{\pgfqpoint{0pt}{2pt}}\pgfpathlineto{\pgfqpoint{2pt}{2pt}}%
  \pgfpathlineto{\pgfqpoint{0pt}{0pt}}\pgfpathlineto{\pgfqpoint{2pt}{0pt}}%
}
\symbol{q}{%
  \pgfpathlineto{\pgfqpoint{0pt}{2pt}}\pgfpathlineto{\pgfqpoint{2pt}{2pt}}%
  \pgfpathlineto{\pgfqpoint{0pt}{0pt}}\pgfpathlineto{\pgfqpoint{2pt}{0pt}}%
}
\symbol{S}{\pgftransformscale{+0.5pt}}
\symbol{A}{\pgftransformshift{\pgfqpoint{0pt}{4pt}}}
\symbol{B}{\pgftransformshift{\pgfqpoint{4pt}{4pt}}}
\symbol{C}{\pgftransformshift{\pgfqpoint{4pt}{0pt}}}
\symbol{[}{\bgroup}
\symbol{]}{\egroup}
\rule{Z -> Ip}
\rule{p -> S[Ap][Bq][q][Cq]}
\rule{q -> S[Aq][Bq][q][Cq]}
}

\begin{figure}[h!]
\centering
\subfloat[]{\label{fig:a}
\resizebox{!}{2cm}{
\begin{tikzpicture}
\draw[black](0,0) l-system [l-system={z-curve, step=1cm, axiom=Z, order=1}];
\end{tikzpicture}
}
}
\hfill
\subfloat[]{\label{fig:a}
\resizebox{!}{2cm}{
\begin{tikzpicture}
\draw [red](0,0) l-system  [l-system={z-curve, step=1cm, axiom=Z, order=2}];
\end{tikzpicture}
}
}
\hfill
\subfloat[]{\label{fig:a}
\resizebox{!}{2cm}{
\begin{tikzpicture}
\draw [blue](0,0) l-system  [l-system={z-curve, step=1cm, axiom=Z, order=3}];
\end{tikzpicture}
}
}
\hfill
\subfloat[]{\label{fig:a}
\resizebox{!}{2cm}{
\begin{tikzpicture}
\draw [green](0,0) l-system  [l-system={z-curve, step=1cm, axiom=Z, order=4}];
\end{tikzpicture}
}
}
\hfill
\caption{Z-Curve using TikZ and the Lindenmayer system}\label{fig:LabelFigOne}
\end{figure}
\end{document}

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