填充两个圆圈之间的空间

Question

我准备了一个代码，其中有两个圆圈。我想用相同的颜色填充它们之间的空间。这是我的代码

\documentclass{standalone}
\usepackage{amsmath}
\usepackage{amsfonts}
\usepackage{amssymb}
\usepackage{color}
\usepackage{tikz,pgfplots}
\usepackage{graphicx}


\begin{document}

\begin{tikzpicture}

\pgfmathdeclarerandomlist{color}{{red}{black}}
\foreach \a in {1,...,90}{
    \pgfmathrandominteger{\x}{0}{50}
    \pgfmathrandominteger{\y}{0}{50}
    \pgfmathrandominteger{\r}{3}{3}
    \pgfmathrandomitem{\c}{color}
    \pgfpathcircle{
    \pgfpoint{\x }{\y }}{\r mm}
    \color{\c!70!white}
    \pgfsetstrokecolor{\c!20!black}
    \pgfusepath{stroke, fill}
}



% shape of the nucleus
\fill[opacity=0.15,rotate=30] (0,0) ellipse (4 and 3);

% field around the nucleus
\fill[opacity=0.15,color=blue] (0.8,0.8) circle (1.7);

% the single neutron or proton
\fill[black] (-1.5,-1.5) circle (0.3); 
\fill[red] (-1.5,-1.2) arc (90:-90:0.3); 

% field around the single particle
\fill[opacity=0.15,color=blue] (-1.5,-1.5) circle (0.7);

\end{tikzpicture}

\end{document}

这段代码的结果是

但我想要的是

我该怎么做？

Answer 1

为此，我将使用库tangent cs中自带的背景和。calc

\documentclass[tikz,border=3.14mm]{standalone}
\usetikzlibrary{backgrounds,calc}

\begin{document}

\begin{tikzpicture}

\pgfmathdeclarerandomlist{color}{{red}{black}}
\foreach \a in {1,...,90}{
    \pgfmathrandominteger{\x}{0}{50}
    \pgfmathrandominteger{\y}{0}{50}
    \pgfmathrandominteger{\r}{3}{3}
    \pgfmathrandomitem{\c}{color}
    \pgfpathcircle{
    \pgfpoint{\x }{\y }}{\r mm}
    \color{\c!70!white}
    \pgfsetstrokecolor{\c!20!black}
    \pgfusepath{stroke, fill}
}


\begin{scope}[on background layer]
% shape of the nucleus
\fill[white!85!black,rotate=30] (0,0) ellipse (4 and 3);

% field around the nucleus
\node[circle,fill=blue!15,minimum size=3.4cm] (A) at (0.8,0.8) {};

% field around the single particle
\node[circle,fill=blue!15,minimum size=1.4cm] (B) at (-1.5,-1.5){};

\fill[fill=blue!15]  (tangent cs:node=A,point={(B.center)},solution=1) 
to[bend right=25] (tangent cs:node=B,point={(A.center)},solution=2)
 -- (tangent cs:node=B,point={(A.center)},solution=1) to[bend right=25]
 (tangent cs:node=A,point={(B.center)},solution=2) --
 cycle;

% the single neutron or proton
\fill[black] (-1.5,-1.5) circle (0.3); 
\fill[red] (-1.5,-1.2) arc (90:-90:0.3); 

\end{scope}
\end{tikzpicture}
\end{document}

保持不透明度的第二种可能性是使用transparency group。

\documentclass[tikz,border=3.14mm]{standalone}
\usetikzlibrary{calc}

\begin{document}

\begin{tikzpicture}

\pgfmathdeclarerandomlist{color}{{red}{black}}
\foreach \a in {1,...,90}{
    \pgfmathrandominteger{\x}{0}{50}
    \pgfmathrandominteger{\y}{0}{50}
    \pgfmathrandominteger{\r}{3}{3}
    \pgfmathrandomitem{\c}{color}
    \pgfpathcircle{
    \pgfpoint{\x }{\y }}{\r mm}
    \color{\c!70!white}
    \pgfsetstrokecolor{\c!20!black}
    \pgfusepath{stroke, fill}
}



% shape of the nucleus
\fill[opacity=0.15,rotate=30] (0,0) ellipse (4 and 3);
% the single neutron or proton
\fill[black] (-1.5,-1.5) circle (0.3); 
\fill[red] (-1.5,-1.2) arc (90:-90:0.3); 

\begin{scope}[transparency group,opacity=0.15]
% field around the nucleus
\node[circle,fill=blue,minimum size=3.4cm] (A) at (0.8,0.8) {};

% field around the single particle
\node[circle,fill=blue,minimum size=1.4cm] (B) at (-1.5,-1.5){};

\fill[blue]  (tangent cs:node=A,point={(B.center)},solution=1) 
to[bend right=25] (tangent cs:node=B,point={(A.center)},solution=2)
 -- (tangent cs:node=B,point={(A.center)},solution=1) to[bend right=25]
 (tangent cs:node=A,point={(B.center)},solution=2) -- cycle;

\end{scope}
\end{tikzpicture}

\end{document}