¿Cómo encajar un gran árbol en el papel y cambiar el lugar de algunos nodos?

Question

Hice este árbol con el siguiente código.

    \begin{forest}
  for tree={
    rounded corners,
    draw,
    align=center,
    top color=white,
    bottom color=blue!20,
  },
  forked edges,
  [a
    [$ q_{1}k_{1} $
    [$ q_{2}k_{2} $
    [$ q_{3}k_{3} $]
    [$ \cdots $]
    [$ q_{3}k_{3} +(k_{3}-1)$]]
    [$ \cdots $]
    [$ q_{2}k_{2} +(k_{2}-1)$
        [$ q_{3}k_{3} $]
    [$ \cdots $]
    [$ q_{3}k_{3} +(k_{3}-1)$]
    ]]
    [$ \cdots $]
    [$ q_{1}k_{1} +(k_{1}-1)$
    [$ q_{2}k_{2} $
    [$ q_{3}k_{3} $]
    [$ \cdots $]
    [$ q_{3}k_{3} +(k_{3}-1)$]]
    [$ \cdots $]
    [$ q_{2}k_{2} +(k_{2}-1)$
[$ q_{3}k_{3} $]
    [$ \cdots $]
    [$ q_{3}k_{3} +(k_{3}-1)$]]    
    ]]

\end{forest}

tengo 2 problemas

1- el árbol no encaja en mi periódico.

2- ¿Cómo puedo llevar cajas con... al medio?

Answer 1

Una forma es rotar el diagrama 90 grados:

(las líneas rojas indican los bordes del texto)

\documentclass{book}
\usepackage[edges]{forest}
%---------------- show page layout. don't use in a real document!
\usepackage{showframe}
\renewcommand\ShowFrameLinethickness{0.15pt}
\renewcommand*\ShowFrameColor{\color{red}}
%---------------------------------------------------------------%

\begin{document}
\begin{figure}
\centering
   \begin{forest}
  for tree={
    grow'=0,
    draw,
    rounded corners,
    minimum height=3.4ex, inner sep=3pt,
    top color=white,
    bottom color=blue!20,
    anchor=west,
%
    math content,
% edges
  forked edge,
  s sep=2mm,
  l sep=8mm,
fork sep=4mm,
  }
%
[a
    [q_{1}k_{1}
        [q_{2}k_{2}
            [q_{3}k_{3}]
            [\cdots]
            [q_{3}k_{3} +(k_{3}-1)]
        ]
        [\cdots]
        [q_{2}k_{2} +(k_{2}-1)
            [q_{3}k_{3}]
            [\cdots]
            [q_{3}k_{3} +(k_{3}-1)]
        ]
    ]
    [\cdots]
    [q_{1}k_{1} +(k_{1}-1) 
        [q_{2}k_{2}
            [q_{3}k_{3}]
            [\cdots]
            [q_{3}k_{3} +(k_{3}-1)]
        ]
        [\cdots]
        [q_{2}k_{2} +(k_{2}-1) 
            [q_{3}k_{3}]
            [\cdots]
            [q_{3}k_{3} +(k_{3}-1)]
        ]
    ]
]
\end{forest}
    \end{figure}
\end{document}