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我怎样才能减少这些 tikz 节点的重复代码？

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我怎样才能减少这些 tikz 节点的重复代码？

这与早期的问题我得到了第一部分的答案，并点击了第二部分的某些链接，最后写出了一堆混杂的代码来实现我想要的效果，但是我不太明白 for 循环示例中的内容，所以它们对我来说不是最好的起点。

以下是圆圈代码的一个小例子

\documentclass[paper=a4, fontsize=12pt]{scrartcl}       
\usepackage{amsmath,amsfonts,amsthm}     
\usepackage{graphicx} 

\usepackage{float}
\setlength\parindent{0pt} 
\usepackage{tikz}
\usetikzlibrary{arrows,%
                plotmarks}


\begin{document}
 \begin{figure}[H]

 \makeatletter
\tikzset{
    dot diameter/.store in=\dot@diameter,
    dot diameter=3pt,
    dot spacing/.store in=\dot@spacing,
    dot spacing=10pt,
    dots/.style={
        line width=\dot@diameter,
        line cap=round,
        dash pattern=on 0pt off \dot@spacing
    }
}
\makeatother
 \centering
\label{fig:circle}
   \begin{tikzpicture}
    % Axis
    \draw[thick,->,black] (-4,0)--(4,0) node[below] {$n_x$}; 
    \draw[thick,->,black] (0,-4)--(0,4) node[left] {$n_y$}; 
    \draw[black,thick] (0,0) circle (3.5cm);

    %dots
    \draw [black, dot diameter=4pt, dot spacing=10pt, dots] (0pt,3.5) -- (0pt,6pt) ; 
    \draw [black, dot diameter=4pt, dot spacing=10pt, dots] (0pt,0) -- (110pt,0) ;  
   \draw [black, dot diameter=4pt, dot spacing=10pt, dots] (10pt,3.5) -- (10pt,6pt) ;  
   \draw [black, dot diameter=4pt, dot spacing=10pt, dots] (20pt,3.5) -- (20pt,6pt) ;  
   \draw [black, dot diameter=4pt, dot spacing=10pt, dots] (30pt,3.5) -- (30pt,6pt) ;  
   \draw [black, dot diameter=4pt, dot spacing=10pt, dots] (40pt,3.5) -- (40pt,6pt);  
   \draw [black, dot diameter=4pt, dot spacing=10pt, dots] (50pt,3.5) -- (50pt,6pt) ;  
   \draw [black, dot diameter=4pt, dot spacing=10pt, dots] (60pt,3.5) -- (60pt,6pt) ;  
   \draw [black, dot diameter=4pt, dot spacing=10pt, dots] (70pt,3.5) -- (70pt,6pt) ;  
   \draw [black, dot diameter=4pt, dot spacing=10pt, dots] (80pt,3.5) -- (80pt,6pt) ;  

   \draw [black, dot diameter=4pt, dot spacing=10pt, dots] (90pt,3.5) -- (90pt,6pt) ;  
   \draw [black, dot diameter=4pt, dot spacing=10pt, dots] (100pt,3.5) -- (100pt,6pt) ;  


   \end{tikzpicture}

\caption{Two dimensional (2D) n-space of radius n and thickness dn. The density of states at an energy $\epsilon$ is the number of n-states per unit area, $A=L^2$}
\end{figure}
\end{document}

在此处输入图片描述

答案1

TikZ 解决方案

\documentclass[paper=a4, fontsize=12pt]{scrartcl}       
\usepackage{amsmath,amsfonts,amsthm}     
\usepackage{graphicx} 

\usepackage{float}
\setlength\parindent{0pt} 
\usepackage{tikz}
\usetikzlibrary{arrows,%
                plotmarks}


\begin{document}
 \begin{figure}[H]

 \makeatletter
\tikzset{
    dot diameter/.store in=\dot@diameter,
    dot diameter=3pt,
    dot spacing/.store in=\dot@spacing,
    dot spacing=10pt,
    dots/.style={
        line width=\dot@diameter,
        line cap=round,
        dash pattern=on 0pt off \dot@spacing
    }
}
\makeatother
 \centering
\label{fig:circle}
   \begin{tikzpicture}
        [
            mystyle/.style={black, dot diameter=4pt, dot spacing=10pt, dots}
        ]
    % Axis
    \draw[thick,->,black] (-4,0)--(4,0) node[below] {$n_x$}; 
    \draw[thick,->,black] (0,-4)--(0,4) node[left] {$n_y$}; 
    \draw[black,thick] (0,0) circle (3.5cm);

    %dots
    \draw [mystyle] (0pt,0) -- (110pt,0) ; 
    \foreach \x in {0,10,...,100}{\draw [mystyle] (\x pt,3.5) -- (\x pt,6pt); }

   \end{tikzpicture}

\caption{Two dimensional (2D) n-space of radius n and thickness dn. The density of states at an energy $\epsilon$ is the number of n-states per unit area, $A=L^2$}
\end{figure}
\end{document}

PSTricks 解决方案

如果您确实必须减少击键次数，我提出以下内容。

在此处输入图片描述

\documentclass[pstricks]{standalone}
\usepackage{pst-plot}
\begin{document}
\begin{pspicture}(-4.5,-4.5)(4.5,4.5)
\psaxes[labels=none,ticks=none]{->}(0,0)(-4,-4)(4,4)[$n_x$,-90][$n_y$,180]
\pscircle{3.5}
\multips(0,0.35){11}{\multips(0.35,0){11}{\psdots(0,0)}}
\end{pspicture}
\end{document}

TikZ 解决方案（与 PSTricks 解决方案结果相同）

\documentclass[tikz,margin=5mm]{standalone}       
\begin{document}
\begin{tikzpicture}[thick]
  \draw[-stealth] (-4,0)--(4,0) node[below] {$n_x$}; 
  \draw[-stealth] (0,-4)--(0,4) node[left] {$n_y$}; 
  \draw (0,0) circle (3.5);
  \foreach \x in {0,...,10}{
    \foreach \y in {0,...,10}{
      \fill (\x*.35,\y*.35) circle(.06);
    }
  }
\end{tikzpicture}
\end{document}

最新编辑

下面的解释是为了回答提问者在评论中提出的附加问题。

使用standalone文档类来生成紧密的图表。

% the name of this file is circle-grid.tex
\documentclass[tikz,margin=5mm]{standalone}       
\begin{document}
\begin{tikzpicture}[thick]
  \draw[-stealth] (-4,0)--(4,0) node[below] {$n_x$}; 
  \draw[-stealth] (0,-4)--(0,4) node[left] {$n_y$}; 
  \draw (0,0) circle (3.5);
  \foreach \x in {0,...,10}{
    \foreach \y in {0,...,10}{
      \fill (\x*.35,\y*.35) circle(.06);
    }
  }
\end{tikzpicture}
\end{document}

使用 编译图表 ( circle-grid.tex)pdflatex.exe可得到circle-grid.pdf。

从您的主 TeX 文档（main.tex例如，您可以将其命名为），您可以circle-grid.pdf使用它来导入\includegraphics[]{circle-grid}（此命令由包提供graphicx）。

例如，主 TeX 文档如下所示。

% This filename is Main.tex
\documentclass{article}
\usepackage{graphicx}
\begin{document}
Some texts go here \ldots
\begin{figure}
\centering
\includegraphics[]{circle-grid}
\caption{Circle and grid}
\label{fig:circle-grid}
\end{figure}
Other texts go here!
\end{document}

最后编译main.tex得到pdflatex.exe。main.pdf

答案2

鉴于你的输出，我实际上会使用pgfplots基于tikz并有许多有用的environments和commands简化这样的图形

在此处输入图片描述

\documentclass{standalone}       
\usepackage{pgfplots}
\pgfplotsset{mydotstyle/.style={color=black,only marks,mark size=1pt}}

\begin{document}

   \begin{tikzpicture}
    \begin{axis}[axis lines=middle,
                             axis equal,
                             xmin=-1.1,xmax=1.1,
                             ymin=-1.1,ymax=1.1,
                             xtick={-2},
                             ytick={-2},
                             xlabel=$n_x$,
                             ylabel=$n_y$,
                             xlabel style={anchor=north},
                             ylabel style={anchor=east},
                             ]
            \addplot[black, samples=100]({cos(deg(x))},{sin(deg(x))});
            \pgfplotsinvokeforeach{0,0.1,...,1.1}
            {
                \addplot[mydotstyle,samples at={0,0.1,...,1.1}]{#1};
                }
    \end{axis}
   \end{tikzpicture}
\end{document}

如果你有很多这种类型的图片，你可能需要使用类似

\pgfplotsset{mydotstyle/.style={color=black,only marks,mark size=1pt},
                         every axis/.append style={
                         axis lines=middle,
                             axis equal,
                             xmin=-1.1,xmax=1.1,
                             ymin=-1.1,ymax=1.1,
                             xtick={-2},
                             ytick={-2},
                             xlabel=$n_x$,
                             ylabel=$n_y$,
                             xlabel style={anchor=north},
                             ylabel style={anchor=east},
                         }}

在这种情况下你可以使用

\begin{tikzpicture}
    \begin{axis}
      \addplot...
    \end{axis}
   \end{tikzpicture}

答案3

\documentclass[paper=a4, fontsize=12pt]{scrartcl}       
\usepackage{amsmath,amsfonts,amsthm}     
\usepackage{graphicx} 

\usepackage{float}
\setlength\parindent{0pt} 
\usepackage{tikz}
\usetikzlibrary{arrows,%
                plotmarks}

\begin{document}

\begin{figure}[H]
    \centering
    \label{fig:circle}
    \begin{tikzpicture}
        % Axis
        \pgfmathsetmacro{\D}{3.5}
        \draw[thick,->,black] (-4,0)--(4,0) node[below] {$n_x$}; 
        \draw[thick,->,black] (0,-4)--(0,4) node[left] {$n_y$}; 
        \draw[black,thick] (0,0) circle (\D);

        \pgfmathsetmacro{\dx}{\D/10}
        \pgfmathsetmacro{\lastx}{\D+0.0001}
        \foreach \x in {0,\dx,...,\lastx}{
            \foreach \y in {0,\dx,...,\lastx}{
                \fill[black] (\x,\y) circle(.06);
            }
        }
       \end{tikzpicture}

    \caption{Two dimensional (2D) n-space of radius n and thickness dn.
    The density of states at an energy $\epsilon$ is the number of n-states per unit area, $A=L^2$}
\end{figure}

\end{document}

在此处输入图片描述

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