Tkinter编写一个程序显示递归树且可控制分叉数

以下是一个简单的 Tkinter 程序，它可以显示递归树，并且可以通过输入框来控制分叉数：

import tkinter as tk
import math

class RecursiveTreeApp(tk.Frame):
    
    def __init__(self, master=None):
        super().__init__(master)
        self.master = master
        self.pack()
        self.create_widgets()
    
    def create_widgets(self):
        self.canvas = tk.Canvas(self, width=600, height=600)
        self.canvas.pack()
        self.branches_entry = tk.Entry(self)
        self.branches_entry.pack()
        self.draw_button = tk.Button(self, text="Draw Tree", command=self.draw_tree)
        self.draw_button.pack()
    
    def draw_tree(self):
        self.canvas.delete("all")
        branches = int(self.branches_entry.get())
        self.draw_branch(300, 500, 100, -math.pi/2, branches)
    
    def draw_branch(self, x, y, length, angle, branches):
        if branches == 0:
            return
        end_x = x + length * math.cos(angle)
        end_y = y + length * math.sin(angle)
        self.canvas.create_line(x, y, end_x, end_y)
        for i in range(-branches//2 + 1, branches//2 + 1):
            new_angle = angle + i * math.pi/branches
            self.draw_branch(end_x, end_y, length*0.7, new_angle, branches//2)
    
root = tk.Tk()
app = RecursiveTreeApp(master=root)
app.mainloop()

这个程序使用了 `tk.Canvas` 组件来显示递归树。`draw_tree` 方法根据输入框中的分叉数来绘制递归树。`draw_branch` 方法递归地绘制分支。