如何绘制甜甜圈，其图附于此处

Question

如何绘制甜甜圈，其图附于此处

甜甜圈看起来很漂亮。我想画出来。圆环的参数方程是

$$x = (R + a cos(p)) cos(t);$$ $$y = (R + a cos(p)) sin(t);$$ $$z = a sin(p);$$ 其中 $t,p\in [0, 2\pi]$如何做到？ 编辑： 我尝试过的内容如下：

 \documentclass{article}
    \usepackage[margin=0.5in]{geometry}
    \usepackage[utf8]{inputenc}
    \usepackage{comment}
    
    \usepackage{pgfplots}
    \pgfplotsset{width=10cm, compat=1.16}
    
    \begin{document}
    
    \begin{tikzpicture}
\begin{axis}
    [
    view={60}{30},
    ]
\addplot3[surf,shader=interp,
    domain=0:2*pi,
    p domain=0:2*pi,
    samples=101,
    samples x=2,R=5,a=2
]
({(R + a*cos(deg(p)))*cos(deg(x))},
{(R + a*cos(deg(p)))*sin(deg(x))},{a*sin(deg(x))});
\end{axis}
\end{tikzpicture}
\end{document}