Putting 2 dotted lines inside a rhombus

Question

I know how to draw 3 rhombi above each other as follows:
    documentclass{article}
    usepackage{amsmath}
    usepackage{tikz-cd}
    usetikzlibrary{shapes.geometric}
    begin{document}
    [begin{tikzcd}[sep = 2em,
        /tikz/rhombus/.style={shape=diamond,draw,minimum size=2em}]
     |[rhombus,draw,minimum size=3em]|{}arrow[r,shorten >=0.5em,shorten <=0.5em] & 
     |[rhombus,append after command={pgfextra{letmylntikzlastnode}
     (myln.north) node[anchor=south,rhombus] {}
     (myln.south) node[anchor=north,rhombus] {}}]|{}
    end{tikzcd}]
    end{document}

But what if inside the big rhombus I want to put 2 dotted lines to indicate the places where I will pinch it to get the 3 rhombi?
Any help in drawing this will be greatly appreciated!

Torbjørn T. · Accepted Answer

You can use execute at end picture to add additional TikZ code to the diagram. So if you give the big node alias with alias=foo added to the style of the node, you can draw lines between the anchors of the node.

documentclass{article}
usepackage{amsmath}
usepackage{tikz-cd}
usetikzlibrary{shapes.geometric}
begin{document}
[
  begin{tikzcd}[sep = 2em,
    /tikz/rhombus/.style={shape=diamond,draw,minimum size=2em},
    execute at end picture={
      draw [densely dotted] (foo.north west) -- (foo.north east);
      draw [densely dotted] (foo.south west) -- (foo.south east);
    }
    ]
 |[rhombus,draw,minimum size=3em, alias=foo]|{}arrow[r,shorten >=0.5em,shorten <=0.5em] & 
 |[rhombus,append after command={pgfextra{letmylntikzlastnode}
 (myln.north) node[anchor=south,rhombus] {}
 (myln.south) node[anchor=north,rhombus] {}}]|{}
end{tikzcd}
]
end{document}

Putting 2 dotted lines inside a rhombus

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