☰

如何以极坐标阵列分布一组圆？

tag-icon • tag-icon tikz-pgf
如何以极坐标阵列分布一组圆？

我如何才能将一组圆圈（我的情况是红色圆圈）均匀分布在极坐标阵列中？如果需要，大红圈和白圈之间的中心距离为 4.267 厘米。非常感谢您的建议！

代码在这里，

\documentclass[10pt,a4paper]{article}
\usepackage{tikz}
\begin{document}
\begin{figure}
\begin{picture}(215,100)(0,0)
\begin{tikzpicture} 
\filldraw[color=black](100,50) circle(7cm);  
\filldraw[color=white](100,50) circle(1.8cm);  
\filldraw[color=red](104.267, 50) circle(0.962cm); 
\begin{scope}[shift={(104.267,50)}]
\foreach \x in {60,120,...,360} {\filldraw[color=red](\x:1.633) circle(0.45cm); }
\end{scope}
\end{tikzpicture}
\end{picture}
\end{figure}
\end{document}

答案1

我假设您想要将红色圆圈组（由一个大圆圈和六个小圆圈组成）均匀分布在中心点周围，方式类似于第 35 页所述此 AutoCAD 讲义。

这是我的建议：

\documentclass[10pt,a4paper]{article}  
\usepackage{tikz}  
\begin{document}  
\begin{figure}  
\begin{picture}(215,100)(0,0)  
\begin{tikzpicture} 

%These are the parameters from the AutoCAD "Polar Array" dialog:  
%"Total number of items"  
\def\n{4};  

%"Angle to fill"  
\def\nangle{360};  

%"Rotate items as copied" (1 = yes; 0 = no)  
\def\rbool{1};  

%Optional angle for the position of the first set  
\def\nstart{0};  

%Number of small circles  
\def\k{6};  

\pgftransformshift{ \pgfpoint{100}{50} };  
\filldraw[color=black](0,0) circle(7cm);   
\filldraw[color=white](0,0) circle(1.8cm);  

\foreach \a in {1,...,\n} {  
  \pgftransformshift{ \pgfpointpolar{(\a-1)*\nangle/\n+\nstart}{4.3cm} }  
  \pgftransformrotate{ (\a-1)*\nangle/\n*\rbool }  
  \filldraw[color=red] (0,0) circle(.96cm);  
  \foreach \x in {1,...,\k} {  
    \filldraw[color=red,]+(\x*360/\k:1.633) circle(0.43cm); 
  }
}  

\end{tikzpicture}  
\end{picture}  
\end{figure}  
\end{document}

输出如下：

替代文本

答案2

具有 »tikZ« 语法的解决方案。迭代应该是可以理解的。只需根据您的需要调整以下示例即可。

\documentclass{minimal}
\usepackage{tikz}

\begin{document}
  \begin{tikzpicture}
    \fill[black](0,0) circle (7cm);
    \fill[white](0,0) circle (2cm);
    \foreach \r in {72,144,...,360} {%
      \begin{scope}[red,shift={(\r:4.5)}]
        \fill (0,0) circle (1cm);
        \foreach \x in {72,144,...,360} {%
          \begin{scope}[shift={(\x:1.75)}]
            \fill (0,0) circle (0.5cm);
          \end{scope}
        };
      \end{scope}
    };
  \end{tikzpicture}
\end{document}

这pgf/tikZ手册中有关于所涉及命令的更多详细信息。

替代文本

答案3

只是为了分享以防有人需要。代码显示了四个具有不同配置的板。替代文本可能需要一点 texkeeping（有这样的词吗？）再次感谢大家的帮助！

\documentclass[10pt,a4paper]{article}
\usepackage{tikz}
\begin{document}
\begin{figure}
\begin{picture}(215,20)(0,0)
\begin{tikzpicture}
\pgftransformshift{\pgfpoint{100}{0}}; % shift of (0,0) coordinate 
\filldraw[scale=0.2,color=black](0,0) circle(7cm); % plate
\filldraw[scale=0.2,color=white](0,0) circle(0.6505cm); % 1stlevelcircle
\foreach \x in {60,120,...,360} {\filldraw[scale=0.2,color=white](\x:1.9) circle(0.6505cm); 
\foreach \x in {30,60,...,360} {\filldraw[scale=0.2,color=white](\x:3.8) circle(0.6505cm); 
\foreach \x in {18,36,...,360} {\filldraw[scale=0.2,color=white](\x:5.7) circle(0.6505cm); 
    }
        }
            }
%F0F0F0F0F0
\pgftransformshift{\pgfpoint{90}{0}}; 
\filldraw[scale=0.2,color=black](0,0) circle(7cm);  
\filldraw[scale=0.2,color=white](0,0) circle(2.5cm);  
\foreach \x in {60,120,...,360}{\filldraw[scale=0.2,color=white](\x:4.755) circle(1.28cm); }
%F1F1F1F1F1
\def\n{6}; %"Total number of items"  
\def\nangle{360}; %"Angle to fill"   
\def\rbool{1}; %"Rotate items as copied" (1 = yes; 0 = no)  
\def\nstart{0} ;%Optional angle for the position of the first set  
\def\k{6}; %Number of small circles 
\pgftransformshift{\pgfpoint{90}{0}};  
\filldraw[scale=0.2,color=black](0,0) circle(7cm);   
\filldraw[scale=0.2,color=white](0,0) circle(1.8cm);   
\foreach \a in {1,...,\n} {  
  \pgftransformshift{\pgfpointpolar{(\a-1)*\nangle/\n+\nstart}{0.86cm}}  
  \pgftransformrotate{(\a-1)*\nangle/\n*\rbool}  
  \filldraw[scale=0.2,color=white](0,0) circle(.96cm); %4.3*0.2=0.86
   \foreach \x in {1,...,\k} {  
    \filldraw[scale=0.2,color=white]+(\x*360/\k:1.633) circle(0.43cm); 
    }
        }      
%%F2F2F2F2F2
\pgftransformshift{\pgfpoint{90}{0}}; % shift of (0,0) coordinate 
\filldraw[scale=0.2,color=black](0,0) circle(7cm);   % plate
\filldraw[scale=0.2,color=white](0,0) circle(1.4cm);  % 1stlevelcircle
 \foreach \m in {1,...,\n} {\filldraw[scale=0.2,color=white,]+(\m*360/\k+27:6.130) circle(0.15cm); }
 \foreach \m in {1,...,\n} {\filldraw[scale=0.2,color=white,]+(\m*360/\k+32:6.130) circle(0.15cm); }
\foreach \a in {1,...,\n} {  
  \pgftransformshift{\pgfpointpolar{(\a-1)*\nangle/\n+\nstart}{0.8146cm}} 
  \pgftransformrotate{(\a-1)*\nangle/\n*\rbool}  %rotation degree and %4.073*0.2=0.8146
  \filldraw[scale=0.2,color=white] (0,0) circle(.736cm);  % 2ndlevelcircle
\foreach \i in {1,...,\n} {  
  \pgftransformshift{\pgfpointpolar{(\i-1)*\nangle/\n+\nstart}{0.297cm}} 
  \pgftransformrotate{(\i-1)*\nangle/\n*\rbool}  %rotation degree and %1.485*0.2=0.297
  \filldraw[scale=0.2,color=white] (0,0) circle(.4cm);  % 3rdlevelcircle
 \foreach \x in {1,...,\k} {  
\filldraw[scale=0.2,color=white]+(\x*360/\k+30:.63) circle(0.15cm); % 4thlevelcircle 
    }
        } 
            }
\end{tikzpicture}  
\end{picture}  
\end{figure} 
\end{document}

相关内容