用森林种植圆形树

Question

问题

我在 tikz 中有一棵圆形生长的树。由于此图形将变得非常复杂，因此我想切换到森林。我grow在森林中找到了 - 选项，但我无法让它做我想要的事情。

如果 forest 不是适合此目的的正确软件包，我当然也会使用常规 tikz 中的解决方案。

目标输出

节点形状目前是次要的。与下图相反，我希望节点均匀分布在中心/根部周围；基本上，节点应该均匀分布在中心周围的几个“轨道”上，但仍与相应的父节点相连。下图没有将节点均匀分布在中心周围，而是分布在父节点周围。

补充：另外，我想使用循环来创建节点，这样我就可以轻松改变创建的节点数量。这可能吗？

来源（如果需要）

\documentclass{standalone}

\usepackage{tikz}
\usetikzlibrary{trees, shapes}

\begin{document}
\pagestyle{empty}

\tikzstyle{level 1}=[sibling angle=90, shape = rectangle, minimum size=1.5em]
\tikzstyle{level 2}=[sibling angle=45, shape = rectangle, minimum size=1em]
\tikzstyle{level 3}=[sibling angle=22.5, shape = rectangle, minimum size=0.5em]
\tikzstyle{every node}=[fill]
\tikzstyle{edge from parent}=[draw, very thin]

\begin{tikzpicture}[
  grow cyclic,
  shape = circle,
  level distance=3em,
  triangle/.style = {fill=blue!20, regular polygon, regular polygon sides=3 },                    
                    border rotated/.style = {shape border rotate=180}
]
\node[triangle, border rotated, minimum size=3em] {} child [color=\A] foreach \A in {black, black, black, black}
    { node {} child [color=\B] foreach \B in {black, black, black}
        { node {} child [color=\C] foreach \C in {black, black, black}
            { node {} }
        }
    };
\end{tikzpicture}

\end{document}

Answer 1

我真的只是从https://tex.stackexchange.com/a/539395，而且很可能是运气好才成功。虽然我不完全明白发生了什么，但我认为有几件事是正确的：

1. 与上面的评论相反mindmap的是不是我们需要做的只是修改所谓的增长函数。
2. 需要编译多次才能得到最终结果，好像每一级都需要添加一次编译。

代码：

\documentclass[tikz,border=9]{standalone}
\usetikzlibrary{trees,decorations,shapes.geometric}
\makeatletter
\newcount\tikzcountchildi
\newcount\tikzcountchildii
\newcount\tikzcountchildiii
\newcount\tikzcountchildiv
\newcount\tikzcountchildv
\newcount\tikzcountchildvi
\tikzset{garlic growth/.style={growth function=\tikz@grow@garlic,
/tikz/mmap/name=#1,mmap/#1/.is family,
mmap/initialize counts,
execute at end scope={%
\tikz@mmap@store@aux{n-i}{\the\tikzcountchildi}%
\tikz@mmap@store@aux{n-ii}{\the\tikzcountchildii}%
\tikz@mmap@store@aux{n-iii}{\the\tikzcountchildiii}%
\tikz@mmap@store@aux{n-iv}{\the\tikzcountchildiv}%
\tikz@mmap@store@aux{n-v}{\the\tikzcountchildv}%
\tikz@mmap@store@aux{n-vi}{\the\tikzcountchildvi}}},
mmap/.cd,initialize counts/.code={\tikzcountchildi=0%
\tikzcountchildii=0%
\tikzcountchildiii=0%
\tikzcountchildiv=0%
\tikzcountchildv=0%
\tikzcountchildvi=0%
}
}
\def\tikz@mmap@store@aux#1#2{%
\immediate\write\@mainaux{\string\expandafter\xdef\noexpand\csname pgfk@/tikz/mmap/\pgfkeysvalueof{/tikz/mmap/name}/#1\string\endcsname{#2}}}%
\def\tikz@mmap@get@from@aux#1#2{%
\ifcsname pgfk@/tikz/mmap/\pgfkeysvalueof{/tikz/mmap/name}/#1\endcsname
\edef#2{\csname pgfk@/tikz/mmap/\pgfkeysvalueof{/tikz/mmap/name}/#1\endcsname}%
\else
\edef#2{0}%
\fi
}

\newcount\tikzcountgrandchild
\def\tikz@grow@garlic{%
  \pgfmathsetmacro{\pgfutil@tempa}{\pgfkeysvalueof{/tikz/mmap/overall rotation}}%
  \ifcase\tikztreelevel 
  \or
   \global\advance\tikzcountchildi by1\relax%
   \tikz@mmap@get@from@aux{n-i}{\myni}%
   \tikz@mmap@get@from@aux{n-ii}{\mynii}%
   \tikz@mmap@get@from@aux{n-1-\the\tikzcountchildi}{\mynall}%
   \tikz@mmap@get@from@aux{p-1-\the\tikzcountchildi}{\mypi}%
   \ifnum\mynii>0
    \pgfmathsetmacro{\pgfutil@tempa}{\pgfutil@tempa+\pgfkeysvalueof{/tikz/mmap/sign}%
        *(\pgfkeysvalueof{/tikz/mmap/child weight}*(\mypi)*360/\mynii+%
            (1-\pgfkeysvalueof{/tikz/mmap/child weight})*(\tikzcountchildi-1)*360/\myni)}%
   \fi
  \or
   \global\advance\tikzcountchildii by1\relax%
   \tikz@mmap@get@from@aux{n-ii}{\mynii}%
   \tikz@mmap@get@from@aux{n-1-1}{\mynall}%
   \ifnum\mynii>0
    \pgfmathsetmacro{\pgfutil@tempa}{\pgfutil@tempa+\pgfkeysvalueof{/tikz/mmap/sign}%
    *(\tikzcountchildii-1-\mynall/2)*360/\mynii}%
   \fi
   \ifnum\tikznumberofcurrentchild=1\relax
    \tikz@mmap@store@aux{n-1-\the\tikzcountchildi}{\the\tikznumberofchildren}%
    \tikz@mmap@store@aux{p-1-\the\tikzcountchildi}{\the\numexpr\tikzcountchildii-1}%
    \tikz@mmap@store@aux{a-1-\the\tikzcountchildi-\the\tikzcountchildii}{\pgfutil@tempa}%
   \fi   
  \or
   \global\advance\tikzcountchildiii by1\relax%
   \ifnum\tikznumberofcurrentchild=1\relax
    \tikz@mmap@store@aux{n-1-\the\tikzcountchildi-\the\tikzcountchildii}{\the\tikznumberofchildren}%
    \tikz@mmap@store@aux{p-1-\the\tikzcountchildi-\the\tikzcountchildii}{\the\numexpr\tikzcountchildiii-1}%
   \fi   
   \tikz@mmap@get@from@aux{n-iii}{\myniii}%
   \tikz@mmap@get@from@aux{a-1-1-1}{\bettera}%
   \tikz@mmap@get@from@aux{n-1-1-1}{\mynall}%
   \ifdim\bettera pt=0pt\relax
   \else
    \pgfmathsetmacro{\pgfutil@tempa}{\bettera}%
   \fi
   \ifnum\myniii>0
    \pgfmathsetmacro{\pgfutil@tempa}{\pgfutil@tempa+\pgfkeysvalueof{/tikz/mmap/sign}%
     *(\tikzcountchildiii-1-\mynall/2)*360/\myniii}%
   \fi  
  \or
   \global\advance\tikzcountchildiv by1\relax%
   \tikz@mmap@get@from@aux{n-iv}{\myniv}%
   \ifnum\myniv>0
    \pgfmathsetmacro{\pgfutil@tempa}{\pgfutil@tempa+\pgfkeysvalueof{/tikz/mmap/sign}*(\tikzcountchildiv-1)*360/\myniv}%
   \fi  
  \or
   \tikz@mmap@get@from@aux{n-v}{\mynv}%
   \pgfmathsetmacro{\pgfutil@tempa}{\pgfutil@tempa+\pgfkeysvalueof{/tikz/mmap/sign}*(\tikzcountchildv-1)*360/\mynv}%
   \ifnum\mynv>0
    \global\advance\tikzcountchildv by1\relax%
   \fi
  \or
   \global\advance\tikzcountchildvi by1\relax%
   \tikz@mmap@get@from@aux{n-vi}{\mynvi}%
   \ifnum\myvi>0
    \pgfmathsetmacro{\pgfutil@tempa}{\pgfutil@tempa+(\tikzcountchildvi-1)*360/\mynvi}%
   \fi  
  \fi
  \pgftransformreset% 
  \pgftransformshift{\pgfpoint{\pgfkeysvalueof{/tikz/mmap/overall xshift}}%
        {\pgfkeysvalueof{/tikz/mmap/overall yshift}}}%
  \pgftransformrotate{\pgfutil@tempa}%
  \pgftransformxshift{\the\tikzleveldistance}%
}
\makeatother
\begin{document}
\tikzset{mmap/.cd,
    name/.initial=undef,
    overall rotation/.initial=0,
    overall xshift/.initial=0pt,
    overall yshift/.initial=0pt,
    sign/.initial=1,
    child weight/.initial=0.5,
    /tikz/.cd,
    Xshift/.style={xshift=#1,mmap/overall xshift=#1},
    Yshift/.style={yshift=#1,mmap/overall yshift=#1},
    branch color/.style={
        concept color=#1!80,ball color=#1!50,
        every child/.append style={concept color=#1!50},
    }
}

\begin{tikzpicture}[garlic growth=A,mmap/child weight=0,
            mmap/overall rotation=15,mmap/sign=-1,
  shape = circle,
            level 1/.style={shape = rectangle, minimum size=1.5em,
                level distance=1.2cm,
            },
            level 2/.style={shape = rectangle, minimum size=1em,
                level distance=2.4cm,
            },
            level 3/.style={shape = rectangle, minimum size=0.5em,
                level distance=3.6cm,sibling angle=40,
            },
  edge from parent/.style={draw, very thin},nodes=fill,
  level distance=3em,
  triangle/.style = {fill=blue!20, regular polygon, regular polygon sides=3 },                    
                    border rotated/.style = {shape border rotate=180}
]
\node[triangle, border rotated, minimum size=3em] {} child [color=\A] foreach \A in {black, black, black, black}
    { node {} child [color=\B] foreach \B in {black, black, black}
        { node {} child [color=\C] foreach \C in {black, black, black}
            { node {} }
        }
    };
\end{tikzpicture}
\end{document}