# Sphere Intersection using Tikz

I found this example here of two intersecting spheres, have reproduced a couple Tikz spheres that I found here which is the code below. I however would like to know how to get these two spheres to intersect - but also to embed them in/draw a larger sphere around both that is just big enough in the XY plane to house the two.

I am thinking more general - that somehow maybe I could just create a general "Sphere" and instantiate 3 spheres of different sizes and move them around until they look correct. That might be the good way to go.

\documentclass[tikz,border=10pt]{standalone}
\begin{figure}[htb]
\tdplotsetmaincoords{55}{5}
\begin{tikzpicture}
[scale=3,
tdplot_main_coords,
curve/.style={black}]

\coordinate (O) at (0,0,0);

\foreach \angle in {-90,-75,...,90}
{
%calculate the sine and cosine of the angle
\tdplotsinandcos{\sintheta}{\costheta}{\angle}%

%define a point along the z-axis through which to draw
%a circle in the xy-plane
\coordinate (P) at (0,0,\sintheta);

%draw the circle in the main frame
\tdplotdrawarc[curve]{(P)}{\costheta}{0}{360}{}{}

%define the rotated coordinate frame based on the angle
%\tdplotsetthetaplanecoords{\angle}

%draw the circle in the rotated frame
%\tdplotdrawarc[curve,tdplot_rotated_coords]{(O)}{1}{0}{360}{}{}
}

\end{tikzpicture}
\tdplotsetmaincoords{30}{5}
\begin{tikzpicture}
[scale=2,
tdplot_main_coords,
curve/.style={black}]

\coordinate (O) at (-130,0,0);

\foreach \angle in {-90,-75,...,90}
{
%calculate the sine and cosine of the angle
\tdplotsinandcos{\sintheta}{\costheta}{\angle}%

%define a point along the z-axis through which to draw
%a circle in the xy-plane
\coordinate (P) at (0,0,\sintheta);

%draw the circle in the main frame
\tdplotdrawarc[curve]{(P)}{\costheta}{0}{360}{}{}

%define the rotated coordinate frame based on the angle
%\tdplotsetthetaplanecoords{\angle}

%draw the circle in the rotated frame
%\tdplotdrawarc[curve,tdplot_rotated_coords]{(O)}{1}{0}{360}{}{}
}

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