制作树，其中一些节点包含节点对象

Question

我想使用 tikz 创建一棵树。但是，我有一些限制。所有级别的大多数节点都是标准的常用节点。但是，我希望在这棵树的某个级别（比如第 3 级）有以下内容：

1. 这个级别的所有节点都应该画得更大（也许是椭圆形）。
2. 此外，我还希望每个大节点都包含一些点。在下图中，我用紫色标记了这些点。这些紫色点有一个“家”节点，它们中的大多数都住在那里。其中一些紫色点出现在这一级别的其他节点中。

我可以添加从网上获得的 tikz 代码来创建树，但它非常简单。如果这对解决这个问题有帮助，请告诉我。

编辑（稍后添加）

以下是我迄今为止在 overleaf 上尝试过的一些变体。大部分都是围绕定义一些新节点对象的尝试。但我最终得到的图片并不是特别好看。

\documentclass{article}
\usepackage[utf8]{inputenc}
\usepackage[english]{babel}
 \usepackage{amsmath}
 \usepackage{amsfonts}
 \usepackage{amsthm}
 \usepackage{algorithm}
 \usepackage{algorithmicx}
 
\usepackage{subcaption}
\usepackage{tikz}
\usetikzlibrary{decorations.pathmorphing}
\usetikzlibrary{decorations.markings}
\usetikzlibrary{shapes.gates.logic.US,trees,positioning,arrows}

\tikzset{
    standard/.style = {circle, white, draw=black, inner sep = 1.5},
    containerNode/.style={circle, draw=black, minimum size=1cm, node contents=\draw \Huge $\dots$ $\dots$ $\dots$},
}


\begin{document}

\begin{figure*}[t!]
\centering
    \scalebox{.6}{
        \begin{tikzpicture}[level/.style={sibling distance=60mm/#1,level distance = 2cm}]
            \node [standard] (z){}
            child {node [standard] {}edge from parent [draw=black, very thin]
                child {node [standard] {}edge from parent [draw=black,very thin]
                    child {node [standard] {}edge from parent [draw=black,very thin]}
                    child {node [standard] {}edge from parent [draw=black,very thin]}
                }
                child {node [standard] {}edge from parent [draw=black, very thin]
                    child {node [containerNode] (a) {}edge from parent [draw=black, very thin]
                        child {node [standard] (x) {}edge from parent[draw=black, very thin]}
                        child {node [standard] (y) {}edge from parent[draw=black, very thin]}
                    }
                    child {node [standard] {}edge from parent [draw=black,very thin]}
                }
            }
            child { node [standard] {} edge from parent [draw=black, very thin]
                child {node [standard] {}edge from parent [draw=black, very thin]
                    child {node [standard] {}edge from parent [draw=black,very thin]
                    }
                    child {node [standard] (b) {}edge from parent [draw=black, very thin]}
                }
                child {node [standard] {}edge from parent [draw=black, very thin]
                    child {node [standard] (c){}edge from parent [draw=black, very thin]}
                    child {node [standard] {} edge from parent [draw=black,very thin]}
                }
            };

        \end{tikzpicture}
    }
    
 \end{figure*}


\end{document}

背面生成的图像显示如下。

道歉因为添加编辑内容的时间太长了。