tikz and 3d, Putting the correct object on top

Question

When drawing a 2d object, it's easy to understand thy tikz works at it does: simply put the latest drawing on the top. This behavier doesn't translate so well to 3d, so is there a good way to tell tikz what object to put on top?

This:

\documentclass{standalone}
\usepackage[utf8]{inputenc}
\usepackage[T1]{fontenc}


\usepackage{tikz}

\begin{document}
\begin{tikzpicture}[darkstyle/.style={circle,draw,fill=gray!40,minimum size=20}]

        \filldraw[fill = red!20!white,fill opacity=0.6,draw = black] (0,2,0) -- ++(0,0,3) -- ++(3,0,0) -- ++ (0,0,-3) --++(-3,0,0) -- cycle;
        \filldraw[fill = red!10!white,fill opacity=0.6,draw = black] (0,2.1,0) -- ++(0,0,3) -- ++(3,0,0) -- ++ (0,0,-3) --++(-3,0,0) -- cycle;
        \foreach \x in {0,...,3}
        \foreach \y in {0,...,3}
        \foreach \z in {0,...,3}
        \filldraw[fill = white, draw = black] (\x,\y,\z) circle (5pt) ;


        \end{tikzpicture}
\end{document}

gives this:

but this:

\documentclass{standalone}
\usepackage[utf8]{inputenc}
\usepackage[T1]{fontenc}


\usepackage{tikz}

\begin{document}
\begin{tikzpicture}[darkstyle/.style={circle,draw,fill=gray!40,minimum size=20}]
        \foreach \x in {0,...,3}
        \foreach \y in {0,...,3}
        \foreach \z in {0,...,3}
        \filldraw[fill = white, draw = black] (\x,\y,\z) circle (5pt) ;
        \filldraw[fill = red!20!white,fill opacity=0.6,draw = black] (0,2,0) -- ++(0,0,3) -- ++(3,0,0) -- ++ (0,0,-3) --++(-3,0,0) -- cycle;
        \filldraw[fill = red!10!white,fill opacity=0.6,draw = black] (0,2.1,0) -- ++(0,0,3) -- ++(3,0,0) -- ++ (0,0,-3) --++(-3,0,0) -- cycle;
        \end{tikzpicture}
\end{document}

gives this:

Is there any good way of telling tikz which balls to draw over the plane and which to draw under? Or even better is there a way to make tikz know what part of every fill should be below, and which part should be above the planes? so that half of one ball could recieve the red tint wile the other stayed white?

Answer 1

So using the advice of Henri Menke, I opted to use layers in Tikz for this. The layer structure is, however, not perfect, what I would like to do is have ''Layers based on coordinates'' such that everything drawn above f.eks. y=2 would be a higher layer than the stuff below, this would alove to split a circle into two layers. Something I don't think is currently possible.

I did come up with the following solution:

\documentclass{standalone}
\usepackage[utf8]{inputenc}
\usepackage[T1]{fontenc}


\usepackage{tikz}

\pgfdeclarelayer{bottom}
\pgfdeclarelayer{middleb}
\pgfdeclarelayer{middlet}
\pgfdeclarelayer{top}
\pgfsetlayers{bottom,middleb,main,middlet,top}

\begin{document}
\begin{tikzpicture}[darkstyle/.style={circle,draw,fill=gray!40,minimum size=20}]
        \begin{pgfonlayer}{bottom}
        \foreach \x in {0,...,3}
        \foreach \y in {1}
        \foreach \z in {0,...,3}
        \filldraw[fill = white, draw = black] (\x,\y,\z) circle (0.15) ;
        \end{pgfonlayer}

        \begin{pgfonlayer}{middleb}
                \filldraw[fill = red!20!white,fill opacity=0.8,draw = black!80!red] (0,1.9,0) -- ++(0,0,3) -- ++(3,0,0) -- ++ (0,0,-3) --++(-3,0,0) -- cycle;
        \end{pgfonlayer}

        \foreach \x in {0,...,3}
        \foreach \y in {2}
        \foreach \z in {0,...,3}
        \filldraw[fill = white, draw = black] (\x,\y,\z) circle (0.15) ;

        \begin{pgfonlayer}{middlet}
        \filldraw[fill = red!30!white,fill opacity=0.8,draw = black!80!green] (0,2.2,0) -- ++(0,0,3) -- ++(3,0,0) -- ++ (0,0,-3) --++(-3,0,0) -- cycle;
        \end{pgfonlayer}

        \begin{pgfonlayer}{top}
        \foreach \x in {0,...,3}
        \foreach \y in {3}
        \foreach \z in {0,...,3}
        \filldraw[fill = white, draw = black] (\x,\y,\z) circle (0.15) ;
        \end{pgfonlayer}

        \end{tikzpicture}
\end{document}

yielding

I still, sadly, cannot cut a circle in half. But I can now have one layer of circles above and one below each plane. It's also easy to see which circles are below a single or both layers, thanks to the use of transparancy.

I kept the \foreach \y in {n} parts there, so it would be easier to have more layers.

I also do realize that layers are not needed for the result I'm showing, since I draw the layers in the way they would show up anyways. But now I could move part of the code and gain the same result.

A better answer than this one would be to have layers within circles, or something else, that would allow half of a \draw command to be above, and half of it to be below some layer.

Thanks again to Henri Menke for this Idea ;-)